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Volume 27, Number 1, 1981B. M. I. Rands and D. J. A. Welsh Animals, trees and renewal sequences . . 1--17 B. D. Sleeman Two-dimensional inverse scattering and conformal mappings . . . . . . . . . . . 19--31 F. M. Arscott and A. Darai Curvilinear coordinate systems in which the Helmholtz equation separates . . . . 33--70 A. A. Lacey The spatial dependence of supercritical reacting systems . . . . . . . . . . . . 71--84 David J. Wollkind and Ronald D. Notestine A nonlinear stability analysis of the solidification of a pure substance . . . 85--104 Börje Nilsson and Olle Brander The Propagation of Sound in Cylindrical Ducts with Mean Flow and Bulk-Reacting Lining. 3. Step Discontinuities . . . . 105--131
K. Stewartson Marginally stable inviscid flows with critical layers . . . . . . . . . . . . 133--175 J. M. Hill On the solution of reaction-diffusion equations . . . . . . . . . . . . . . . 177--194 A. C. Pipkin Finite plane stress of stiff fibre-reinforced sheets . . . . . . . . 195--209 H. Rasmussen and J. A. McGeough On the Non-Linear Stability of the Electroforming Process . . . . . . . . . 211--220 T. M. Atanackovi\'c Variational principles for column buckling . . . . . . . . . . . . . . . . 221--228 G. Pagan and P. J. Richards A bound for solutions of a fourth-order dynamical system . . . . . . . . . . . . 229--235 I. J. Sobey The effect of small dispersion on two-phase operations . . . . . . . . . . 237--249 B. M. N. Clarke Eigenvalue assignment by delayed boundary feedback for a class of linear hyperbolic systems . . . . . . . . . . . 251--262
Börje Nilsson and Olle Brander The Propagation of Sound in Cylindrical Ducts with Mean Flow and Bulk-Reacting Lining. 4. Several Interacting Discontinuities . . . . . . . . . . . . 263--289 M. A. Srokosz A Note on Arrays of Oscillating Water Column Wave-Energy Devices . . . . . . . 291--297 H. M. Srivastava Some polynomial expansions for functions of several variables . . . . . . . . . . 299--306 H. Rasmussen and D. Salhani Unsteady porous flow with a free surface 307--319 A. Bossavit and A. Damlamian Homogenization of the Stefan problem and application to magnetic composite media 319--334 R. T. Baumel and J. L. Gammel and J. Nuttall Asymptotic form of Hermite--Padé polynomials . . . . . . . . . . . . . . 335--357 B. E. A. Fisher and J. F. Macqueen A theoretical model for particulate transport from an elevated source in the atmosphere . . . . . . . . . . . . . . . 359--371 L. Arkeryd A time-wise approximated Boltzmann equation . . . . . . . . . . . . . . . . 373--383 A. O. Morris Book Review: \em Handbook of Applicable Mathematics. Volume 1. Algebra, edited by W. Ledermann and S. Vajda, Wiley, 1990 . . . . . . . . . . . . . . . . . . 385--386
H. K. Kuiken On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small 387--405 G. M. L. Gladwell and S. Coen An inverse problem in elastostatics . . 407--421 Anthony Mansfield On the computational complexity of a rigidity problem . . . . . . . . . . . . 423--429 B. Sundelius A two-dimensional contact problem with given region of adhesion . . . . . . . . 431--454 B. Sundelius An axisymmetric contact problem with given region of adhesion . . . . . . . . 455--475 Alexander Abian Two theorems on truncations of the Laurent series . . . . . . . . . . . . . 477--479 Alexander Apelblat Repeating use of integral transforms---a new method for evaluation of some infinite integrals . . . . . . . . . . . 481--496
J. A. Hudson The diffraction of an acoustic wave by an embedded quarter-space . . . . . . . 1--21 A. A. Lacey and G. C. Wake Thermal ignition with variable thermal conductivity . . . . . . . . . . . . . . 23--39 A. C. Fowler An asymptotic analysis of the delayed logistic equation when the delay is large . . . . . . . . . . . . . . . . . 41--49 D. S. Jones A note on Galerkin's method . . . . . . 51--73 A. B. Tayler and M. O. Nicholas Unsteady slow flows over a cooled flat plate . . . . . . . . . . . . . . . . . 75--91 R. Fletcher and P. J. Harley Basis functions for the exact control of the heat equation . . . . . . . . . . . 93--105 B. M. I. Rands and D. J. A. Welsh Corrigendum: ``Animals, trees and renewal sequences'' [IMA J. Appl. Math. \bf 27 (1981), no. 1, 1--17; MR 82j:05049] . . . . . . . . . . . . . . . 107--107
Peter Budden and John Norbury Solution branches for nonlinear equilibrium problems---bifurcation and domain perturbations . . . . . . . . . . 109--129 L. Rubinstein and H. Geiman and M. Shachaf Heat transfer with a free boundary moving within a concentrated thermal capacity . . . . . . . . . . . . . . . . 131--147 Ronald Smith Similarity solutions of a nonlinear diffusion equation . . . . . . . . . . . 149--160 Ronald Smith An abundance of orthogonal polynomials 161--167 Gilbert N. Lewis Turning point problems and resonance . . 169--183 W. E. Williams and A. Chakrabarti Reflection at a discontinuity in a transmission line . . . . . . . . . . . 185--195 Terence R. F. Nonweiler A nongraphical approach to flatness calibration . . . . . . . . . . . . . . 197--206
F. T. Smith On the high Reynolds number theory of laminar flows . . . . . . . . . . . . . 207--281 R. C. Duggan and P. J. Godwin On the capacity of regular polyhedra . . 283--286 L. Rubinstein Global stability of the Neumann solution of the two-phase Stefan problem . . . . 287--299 C. P. Please An Analysis of Semiconductor $ P - N $-Junctions . . . . . . . . . . . . . . 301--318
A. E. Green and P. M. Naghdi A theory of laminated composite plates 1--23 J. C. Cooke Stationary phase in two dimensions . . . 25--37 Alexander I. Lee and James M. Hill A note on the solution of reaction-diffusion equations with convection . . . . . . . . . . . . . . . 39--43 E. O. Tuck Annular water jets . . . . . . . . . . . 45--58 C. M. Smith The transient motion of a partially immersed rolling strip in water . . . . 59--77 I. D. Abrahams Scattering of sound by large finite geometries . . . . . . . . . . . . . . . 79--97 Gregory B. Davis and James M. Hill A moving boundary problem for the sphere 99--111
B. D. Sleeman The inverse problem of acoustic scattering . . . . . . . . . . . . . . . 113--142 C. Atkinson and J. Avila Special analytical solutions for use in debond stress analysis . . . . . . . . . 143--171 P. Hall On the nonlinear evolution of Görtler vortices in nonparallel boundary layers 173--196 George Dassios Finite time equipartition for second-order hyperbolic systems . . . . 197--202 G. Mullineux Approximating shapes using parameterized curves . . . . . . . . . . . . . . . . . 203--220
L. C. Woods Thermodynamic inequalities in continuum mechanics . . . . . . . . . . . . . . . 221--246 G. P. Eatwell and J. R. Willis The excitation of a fluid-loaded plate stiffened by a semi-infinite array of beams . . . . . . . . . . . . . . . . . 247--270 David C. Barnes Some remarks on a result of Atanackovi\'c . . . . . . . . . . . . . 271--273 H. M. Srivastava An elementary proof of Bailey's bilinear generating function for Jacobi polynomials and of its $q$-analogue . . 275--280 R. Cade A class of physically relevant insoluble Dirichlet problems . . . . . . . . . . . 281--286 M. J. Chapman and A. J. Pritchard Infinite-dimensional linear realization theory . . . . . . . . . . . . . . . . . 287--308 R. E. Grundy The small-time evolution of a nonlinear diffusion equation . . . . . . . . . . . 309--319 W. F. Fincham and C. L. Nikias Further periodic solutions of the van der Pol equations and its application to waveform generation . . . . . . . . . . 321--332
R. J. Bodonyi and F. T. Smith and J. Gajjar Amplitude-dependent stability of boundary-layer flow with a strongly nonlinear critical layer . . . . . . . . 1--19 D. Thangaraj and S. N. Venkatarangan Dual variational principles for a class of nonlinear partial differential equations . . . . . . . . . . . . . . . 21--26 Robert F. Millar On the completeness of sets of solutions to the Helmholtz equation . . . . . . . 27--38 B. D. Dore Forced oscillations of an inclined plane in an exponentially-stratified fluid . . 39--55 J. Chadam and P. Ortoleva The stabilizing effect of surface tension on the development of the free boundary in a planar, one-dimensional, Cauchy-Stefan problem . . . . . . . . . 57--66 Vasilios Alexiades Rapid freezing of dilute alloys . . . . 67--79 Rolf Pettersson Existence theorems for the linear, space-inhomogeneous transport equation 81--105
D. A. Spence A class of biharmonic end-strip problems arising in elasticity and Stokes flow 107--139 J. F. Harper and G. C. Wake Stokes flow between parallel plates due to a transversely moving end wall . . . 141--149 M. A. Srokosz A simplified method for calculating the highest wave on deep water . . . . . . . 151--159 N. A. Edwards and C. P. Please and R. W. Preston Some observations on boundary conditions for the shallow-water equations in two space dimensions . . . . . . . . . . . . 161--172 A. B. Crowley Mathematical modelling of heat flow in Czochralski crystal pulling . . . . . . 173--189 E. O. Tuck and M. Bentwich and J. van der Hoek The free-boundary problem for gravity-driven unidirectional viscous flows . . . . . . . . . . . . . . . . . 191--208 R. E. Grundy Local similarity solutions for the initial value problem in nonlinear diffusion . . . . . . . . . . . . . . . 209--214 A. A. Lacey and M. Shillor The existence and stability of regions with superheating in the classical two-phase one-dimensional Stefan problem with heat sources . . . . . . . . . . . 215--230
D. A. Caulk Analysis of Steady Heat-Conduction in Regions with Circular Holes by a Special Boundary-Integral Method . . . . . . . . 231--246 Nassar H. S. Haidar Operational analysis of multiregional nuclear reactor kinetics . . . . . . . . 247--267 J. M. Aitchison and C. M. Elliott and J. R. Ockendon Percolation in gently sloping beaches 269--287 T. Bryant Moodie and D. W. Barclay Instantaneous plugging of stretched elastic plates . . . . . . . . . . . . . 289--301 A. A. Lacey and A. B. Tayler A mushy region in a Stefan problem . . . 303--313 H. M. Srivastava Certain $q$-polynomial expansions for functions of several variables . . . . . 315--323 H. E. Bez A unified treatment of invariance for curve- and surface-defining algorithms 325--343
D. W. Moore Resonances introduced by discretization 1--11 A. J. Roberts A stable and accurate numerical method to calculate the motion of a sharp interface between fluids . . . . . . . . 13--35 M. M. R. Williams Radiant heat transfer through an aerosol suspended in a transparent gas . . . . . 37--50 A. H. Zemanian A dynamic marketing, storage and transportation system with perfect competition in each of its markets . . . 51--78 R. E. Kleinman and R. Kress On the condition number of integral equations in acoustics using modified fundamental solutions . . . . . . . . . 79--90
W. K. Hayman A conformal mapping problem arising in elasticity. II . . . . . . . . . . . . . 91--111 A. A. Lacey Initial motion of the free boundary for a nonlinear diffusion equation . . . . . 113--119 R. E. Grundy Asymptotic solution of a model nonlinear convective diffusion equation . . . . . 121--137 F. Alberto Grünbaum Orthogonal polynomials and second-order differential equations . . . . . . . . . 139--144 E. J. M. Veling Spectrum and eigenfunctions of a differential operator arising by linearization of the Fisher and related equations . . . . . . . . . . . . . . . 145--160 S. C. Fang A Sequential Algorithm for an Inventory Selection Problem . . . . . . . . . . . 161--168
C. Atkinson and F. G. Leppington The asymptotic solution of some integral equations . . . . . . . . . . . . . . . 169--182 D. F. Parker A Mathematical Model for the Prediction of Shape Wear During Electrodischarge Machining . . . . . . . . . . . . . . . 183--205 J. M. T. Thompson and A. R. Bokaian and R. Ghaffari Subharmonic resonances and chaotic motions of a bilinear oscillator . . . . 207--234 J. S. N. Elvey On the elimination of destabilizing motions of articulated mooring towers under steady sea conditions . . . . . . 235--252 David Colton and B. D. Sleeman Uniqueness theorems for the inverse problem of acoustic scattering . . . . . 253--259 A. C. Pipkin Inextensible networks deformed as translation surfaces . . . . . . . . . . 261--267 E. M. El-Abbasy and Eleanor M. James Stable subharmonics of the forced van der Pol equation . . . . . . . . . . . . 269--279
Anonymous Preface: Sir James Lighthill, FRS . . . 1--1 T. Brooke Benjamin Impulse, flow force and variational principles . . . . . . . . . . . . . . . 3--68 J. R. Blake Mechanics of muco-ciliary transport . . 69--87 D. R. Bland Flux and the Continuous Casting of Steel 89--112 J. E. Ffowcs Williams The acoustic analogy --- thirty years on 113--124 N. C. Freeman Soliton solutions of nonlinear evolution equations . . . . . . . . . . . . . . . 125--145 F. A. Goldsworthy A Mathematical Approach to the Evolution of HII Regions . . . . . . . . . . . . . 147--173 G. J. Hancock Unsteady boundary layers . . . . . . . . 175--185 M. S. Howe On the absorption of sound by turbulence and other hydrodynamic flows . . . . . . 187--209 D. S. Jones Factorization of a Wiener--Hopf matrix 211--220 A. I. Mees Describing functions: ten years on . . . 221--233 R. E. Meyer Note on Evaporation in Capillaries . . . 235--252 D. C. Pack and R. J. Cole and J. Mika Upper and lower bounds of bilinear functionals in nonlinear problems . . . 253--266 T. J. Pedley Wave phenomena in physiological flows 267--287 D. A. Spence Some new results for the integro-differential equation of jet-flap theory . . . . . . . . . . . . 289--309 K. Stewartson and S. N. Brown Inviscid centre-modes and wall-modes in the stability theory of swirling Poiseuille flow . . . . . . . . . . . . 311--333 F. Ursell Mathematical note on the fundamental solution (Kelvin source) in ship hydrodynamics . . . . . . . . . . . . . 335--351 G. B. Whitham Comments on periodic waves and solitons 353--366 W. E. Williams Recognition of some readily ``Wiener--Hopf'' factorizable matrices 367--378
T. B. Benjamin Errata: ``Impulse, flow force and variational principles'' . . . . . . . . i--i C. Macaskill and T. E. Ewart Computer simulation of two-dimensional random wave propagation . . . . . . . . 1--15 J. M. Aitchison and A. A. Lacey and M. Shillor A model for an electropaint process . . 17--31 S. D. Bhosale and S. V. More On Marchi-Zgrablich transformation of generalized functions . . . . . . . . . 33--42 Leif Arkeryd A remark about the final aperiodic regime for maps on the interval . . . . 43--48 D. V. Evans A note on the cooling of a cylinder entering a fluid . . . . . . . . . . . . 49--54 P. A. Martin On the null-field equations for water-wave scattering problems . . . . . 55--69 R. Balasubramanyam Aerodynamic sound due to a point source near a half-plane . . . . . . . . . . . 71--81 E. M. E. Zayed Eigenvalues of the Laplacian: an extension to higher dimensions . . . . . 83--99 M. M. R. Williams Radiant heat transfer through an aerosol suspended in a transparent gas: addendum 101--103
D. V. Evans A note on the transparency of a submerged circular cylinder to the waves radiated by a pulsating line source . . 105--107 L. M. B. C. Campos On a concept of derivative of complex order with applications to special functions . . . . . . . . . . . . . . . 109--133 Maura Ughi A melting problem with a mushy region: qualitative properties . . . . . . . . . 135--152 B. D. Sleeman and E. Tuma On exact solutions of a class of reaction-diffusion equations . . . . . . 153--168 R. M. Terrill A note on laminar flow through a porous pipe with slip . . . . . . . . . . . . . 169--174 Peter A. Markowich and Christian A. Ringhofer and Alois Steindl Computation of current-voltage characteristics in a semiconductor device using arc-length continuation . . 175--187 M. S. Howe On the production of sound by turbulent boundary layer flow over a compliant coating . . . . . . . . . . . . . . . . 189--203 H. M. Srivastava Certain $q$-polynomial expansions for functions of several variables. II . . . 205--209
D. Porter On some integral equations with a Hankel function kernel . . . . . . . . . . . . 211--228 David Wood Rational-Fourier-series approximations for periodic boundary value problems . . 229--244 B. L. Burrows and P. W. Core Variational-iterative calculations for symmetric operators on real and complex spaces . . . . . . . . . . . . . . . . . 245--254 Philip J. Kachoyan Triple-deck flows over wavy surfaces . . 255--271 D. R. Bland Slightly irregular elastic bodies under pressure . . . . . . . . . . . . . . . . 273--289 P. A. Firby and D. J. Stone Interference patterns and two-dimensional potential theory . . . . 291--301 P. A. Firby Angles of dominance for moiré fringes . . 303--321
D. G. Hurley and P. F. Siew The decay of eddy-currents in thin sheets and related water-wave problems 1--21 D. P. Mason and R. E. Robertson On a nonhomogeneous Hilbert boundary problem in the kinetic theory of ionized gases . . . . . . . . . . . . . . . . . 23--47 I. J. Arend and D. F. Parker Inflation, bending and torsion of reinforced elastic tubes . . . . . . . . 49--71 Maria B. Zaturska and W. H. H. Banks Thermal explosion with variable thermal conductivity: Criticality and its disappearance . . . . . . . . . . . . . 73--82 D. S. Jones Boundary integrals in elastodynamics . . 83--97 D. C. Shaw Perturbational results for diffraction of water-waves by nearly-vertical barriers . . . . . . . . . . . . . . . . 99--117 A. D. Rawlins Note on the capacitance of two closely separated spheres . . . . . . . . . . . 119--120
Thomas C. Assiff and David H. Y. Yen On a penalty-perturbation theory for plate problems . . . . . . . . . . . . . 121--136 Carlos Eduardo Nigro Mazzilli A theoretical and experimental analysis of support-excited nonlinear vibrations of the extensible pendulum . . . . . . . 137--154 Christian Schmeiser Finite deformations of thin beams. Asymptotic analysis by singular perturbation methods . . . . . . . . . . 155--164 Arvind Varma and William Strieder Approximate solutions of nonlinear boundary value problems . . . . . . . . 165--171 Alexander Apelblat Some integrals of gamma, polygamma and Volterra functions . . . . . . . . . . . 173--186 Alexander Apelblat and Naftali Kravitsky Integral representations of derivatives and integrals with respect to the order of the Bessel functions $ J_v(t), \; I_v(t) $, the Anger function $ {{\bf J}}_v(t) $ and the integral Bessel function $ J i_v(t) $ . . . . . . . . . 187--210 Harold Exton The Laplace transform of the Macdonald function of argument $ x^{3 / 2} $ and the Airy function $ {\rm Ai}(x) $ . . . 211--212 S. D. Bhosale and S. V. More On distributional Marchi-Zgrablich transformation . . . . . . . . . . . . . 213--223
Augusto Visintin Stefan problem with phase relaxation . . 225--245 R. M. Furzeland and Erik B. Hansen The steaming up of glasses on entering a sauna --- a novel moving-boundary problem . . . . . . . . . . . . . . . . 247--257 A. A. Lacey Design of a cathode for an electromachining process . . . . . . . . 259--267 M. S. Longuet-Higgins The asymptotic behaviour of the coefficients in Stokes's series for surface gravity waves . . . . . . . . . 269--277 M. J. Hood A uniqueness problem for wave propagation in a periodic structure . . 279--294 Paul Wilmott A note on the WKB method for difference equations . . . . . . . . . . . . . . . 295--302 B. D. Reddy and T. B. Griffin and M. J. Marais A penalty approach to the rate problem in small-strain plasticity . . . . . . . 303--321 S. T. Thynell and M. N. Oezisik The integral form of the equation of radiative transfer for an inhomogeneous, anisotropically scattering, solid sphere 323--328
M. P. Carpentier and A. F. Dos Santos Non-spectral complete field expansion in two-dimensional structures . . . . . . . 1--12 Christine Bourne and Fred Piper Finite subsequences of shift register sequences . . . . . . . . . . . . . . . 13--22 C. Atkinson and C. R. Champion A boundary integral equation formulation for problems involving nonlinear power-law materials . . . . . . . . . . 23--38 D. R. S. Talbot and J. R. Willis Variational principles for inhomogeneous nonlinear media . . . . . . . . . . . . 39--54 J. Adler and D. M. Herbert A criticality criterion for thermal explosions in well-stirred systems with reactant consumption . . . . . . . . . . 55--70 D. C. Shaw The asymptotic behaviour of a curved line source plume within an enclosure 71--89 T. Brooke Benjamin and J. Graham-Eagle Long gravity-capillary waves with edge constraints . . . . . . . . . . . . . . 91--114
H. K. Kuiken Edge effects in crystal growth under intermediate diffusive-kinetic control 117--129 A. A. Wheeler Some aspects of the weakly nonlinear theory of the morphological instability 131--144 D. R. Jenkins Nonlinear interaction of morphological and convective instabilities during solidification of a dilute binary alloy 145--157 A. C. Fowler The formation of freckles in binary alloys . . . . . . . . . . . . . . . . . 159--174 R. A. Cartwright and N. El-Kaddah and J. Szekely The effect of an axial magnetic field at the interface of a crystal grown by the Czochralski method . . . . . . . . . . . 175--194 R. W. Series and D. T. J. Hurle and K. G. Barraclough Effective Distribution Coefficient of Silicon Dopants During Magnetic Czochralski Growth . . . . . . . . . . . 195--203 Ellen J. Stern Mathematical modelling of radiative heat exchanges in Czochralski crystal pulling 205--222 V. R. Voller A Heat Balance Integral Method for Estimating Practical Solidification Parameters . . . . . . . . . . . . . . . 223--232 A. Visintin Supercooling and superheating effects in phase transitions . . . . . . . . . . . 233--256 Charles M. Elliott The Stefan problem with a nonmonotone constitutive relation . . . . . . . . . 257--264
J. Adler and P. T. Nhamburo The critical conditions in a reactive slab with slowly varying surface temperature . . . . . . . . . . . . . . 265--272 J. M. Arnold A global geometrical theory of diffraction . . . . . . . . . . . . . . 273--295 B. P. Rynne Stability and convergence of time marching methods in scattering problems 297--310 M. R. Barone and D. A. Caulk Special boundary integral equations for approximate solution of potential problems in three-dimensional regions with slender cavities of circular cross-section . . . . . . . . . . . . . 311--325 C. Atkinson On explicit formulae for the roots of a class of transcendental equations . . . 327--338 P. McIver Scattering of water waves by two surface-piercing vertical barriers . . . 339--355 A. A. Lacey Tool Design for Electrochemical Machining in the Presence of Overpotentials . . . . . . . . . . . . . 357--364
E. M. L. Beale Optimization methods in oil and gas exploration . . . . . . . . . . . . . . 1--10 P. C. Baker and G. Poots and G. G. Rodgers Ice accretion on cables of various cross sections . . . . . . . . . . . . . . . . 11--28 Gregory A. Kriegsmann A mathematical theory of full-wave rectification . . . . . . . . . . . . . 29--41 Peter A. Markowich and Christian Schmeiser Uniform asymptotic representation of solutions of the basic semiconductor-device equations . . . . . 43--57 R. Cade Integral-equation perturbation theory for electrostatic torus problems with applied fields . . . . . . . . . . . . . 59--84 Allen C. Pipkin The relaxed energy density for isotropic elastic membranes . . . . . . . . . . . 85--99 P. M. Eagles and P. G. Daniels Free-surface boundary-layer flow on a curved bed . . . . . . . . . . . . . . . 101--116
A. E. Organ and N. Riley Magnetohydrodynamic boundary layers in Czochralski crystal growth . . . . . . . 117--128 F. Caldeira-Saraiva The boundedness of solutions of a Liénard equation arising in the theory of ship rolling . . . . . . . . . . . . . . . . 129--139 A. Visintin A new model for supercooling and superheating effects . . . . . . . . . . 141--157 John H. Cushman Multiphase transport in the space of stochastic tempered distributions . . . 159--175 P. G. Daniels and A. Golbabai Phase-winding solutions for axisymmetric convection between rotating planes uniformly heated from below . . . . . . 177--189 L. M. B. C. Campos On a systematic approach to some properties of special functions . . . . 191--206
J. Chadam and D. Hoff and E. Merino and P. Ortoleva and A. Sen Reactive infiltration instabilities . . 207--221 M. B. Reed Stresses and displacements around a cylindrical cavity in soft rock . . . . 223--245 M. S. Howe Attenuation and diffraction of bending waves at gaps in fluid loaded plates . . 247--262 W. H. H. Banks and M. B. Zaturska Eigensolutions in boundary-layer flow adjacent to a stretching wall . . . . . 263--273 M. M. R. Williams Thermal conduction in bispherical systems and its role in self-induced thermophoresis of aerosol particles . . 275--292 A. G. Mackie Complementary variational inequalities 293--305 J. Adler and D. M. Herbert Addendum: ``A criticality criterion for thermal explosions in well-stirred systems with reactant consumption'' [IMA J. Appl. Math. \bf 35 (1985), no. 1, 55--70; MR 87c:80019] . . . . . . . . . 307--307
P. A. Markowich and C. A. Ringhofer and C. Schmeiser An asymptotic analysis of one-dimensional models of semiconductor devices . . . . . . . . . . . . . . . . 1--24 J. G. Graham-Eagle and B. F. Gray and G. C. Wake On the existence and stability of spatially structured solutions of the reaction-diffusion equations . . . . . . 25--35 R. Shail and B. A. Packham Some potential problems associated with the sedimentation of a small particle into a semi-infinite fluid-filled pore 37--66 D. G. Wilson and A. D. Solomon A Stefan-type problem with void formation and its explicit solution . . 67--76 W. D. McKee Reflection of water waves from an exponentially sheared current . . . . . 77--90 M. M. R. Williams Corrigendum: ``Thermal conduction in bispherical systems and its role in self-induced thermophoresis of aerosol particles'' . . . . . . . . . . . . . . 91--91
M. McIver The electromagnetic field around a subsurface flaw in a metal . . . . . . . 93--111 J. G. Byatt-Smith Regular and chaotic solutions of Duffing's equation for large forcing . . 113--145 C. M. Elliott and M. A. Herrero and J. R. King and J. R. Ockendon The mesa problem: diffusion patterns for $ u_t = \nabla \cdot (u^m \nabla u) $ as $ m \to + \infty $ . . . . . . . . . . . 147--154 Robert F. Millar Singularities and the Rayleigh hypothesis for solutions to the Helmholtz equation . . . . . . . . . . . 155--171 A. R. Bestman Transient flow of a radiating gas between concentric spheres . . . . . . . 173--183
J. R. King and C. P. Please Diffusion of dopant in crystalline silicon: an asymptotic analysis . . . . 185--197 J. R. Ockendon and P. Wilmott Matching and singularity distributions in inviscid flow . . . . . . . . . . . . 199--211 Andreas Kirsch The denseness of the far field patterns for the transmission problem . . . . . . 213--225 I. D. Abrahams Scattering of sound by a semi-infinite elastic plate with a soft backing; a matrix Wiener--Hopf problem . . . . . . 227--245 M. J. Miketinac and R. L. Sani Simulation of jet flows in ideal fluids by variable finite elements . . . . . . 247--259
J. M. Greenberg A hyperbolic heat transfer problem with phase changes . . . . . . . . . . . . . 1--21 A. M. Stuart Existence of solutions of a two-point free-boundary problem arising in the theory of porous medium combustion . . . 23--34 Glen R. Walker Solution to a class of coupled linear partial differential equations . . . . . 35--48 J. P. McClure and R. Wong Asymptotic expansion of a double integral with a curve of stationary points . . . . . . . . . . . . . . . . . 49--59 F.-K. Hebeker and J. Mika and D. C. Pack Application of the superconvergence properties of the Galerkin approximation to the calculation of upper and lower bounds for linear functionals of solutions of integral equations . . . . 61--70 B. J. Kachoyan The finite Dean problem: nonlinear theory . . . . . . . . . . . . . . . . . 71--86
J. R. King High concentration arsenic diffusion in crystalline silicon: An asymptotic analysis . . . . . . . . . . . . . . . . 87--95 Charles M. Elliott and Donald A. French Numerical studies of the Cahn--Hilliard equation for phase separation . . . . . 97--128 Shigeru Maeda The similarity method for difference equations . . . . . . . . . . . . . . . 129--134 F. N. H. Robinson The modified van der Pol oscillator . . 135--150 Rolf Pettersson On solutions and higher moments for the linear Boltzmann equation with infinite-range forces . . . . . . . . . 151--166
Y. C. Yortsos Stability of a certain class of miscible displacement processes in porous media 167--179 L. Ju. Fradkin and R. A. Dawe Some a priori bounds for flows through heterogeneous media . . . . . . . . . . 181--193 G. Caginalp and P. C. Fife Elliptic problems involving phase boundaries satisfying a curvature condition . . . . . . . . . . . . . . . 195--217 F. N. H. Robinson An experimental investigation of a nonlinear Mathieu equation . . . . . . . 219--242 D. W. Reynolds and E. A. Cox Periodic solutions of an integrodifferential equation modelling resonant sloshing . . . . . . . . . . . 243--253
J. Chadam and S. D. Howison and P. Ortoleva Existence and stability for spherical crystals growing in a supersaturated solution . . . . . . . . . . . . . . . . 1--15 Christian A. Ringhofer A singular perturbation analysis for the transient semiconductor device equations in one space dimension . . . . . . . . . 17--32 Björn Gustafsson and Jacqueline Mossino Some isoperimetric inequalities in electrochemistry and Hele Shaw flows . . 33--49 Gunduz Caginalp and Jian-Tong Lin A numerical analysis of an anisotropic phase field model . . . . . . . . . . . 51--66 J. Graham-Eagle and I. Stakgold A steady-state diffusion problem with fractional power absorption rate . . . . 67--73 D. Ts. Angelova and D. D. Ba\uìnov Oscillatory and asymptotic behaviour of the solutions of first-order functional-differential equations . . . 75--89 Philip Holmes Dynamical systems in chaos: some recent books . . . . . . . . . . . . . . . . . 91--98
M. S. Howe Production of sound by turbulent flow over an embedded strut . . . . . . . . . 99--120 A. A. Lacey and M. Shillor Electrochemical and electro-discharge machining with a threshold current . . . 121--142 A. Visintin Mathematical models of solid-solid phase transitions in steel . . . . . . . . . . 143--157 A. C. McBride and F. H. Kerr On Namias's fractional Fourier transforms . . . . . . . . . . . . . . . 159--175 P. D. Robinson and P. K. Yuen Bivariational methods for Hammerstein integral equations . . . . . . . . . . . 177--188
S. A. Smith Congruent harmonic and space charge electrostatic fields . . . . . . . . . . 189--214 D. R. S. Talbot and J. R. Willis Bounds and self-consistent estimates for the overall properties of nonlinear composites . . . . . . . . . . . . . . . 215--240 J. Norbury and A. M. Stuart Parabolic free boundary problems arising in porous medium combustion . . . . . . 241--257 D. M. Haughton Inflation and bifurcation of thick-walled compressible elastic spherical shells . . . . . . . . . . . . 259--272
C. J. Budd and A. A. Wheeler Exact solutions of the space charge equation using the hodograph method . . 1--14 Giovanni Cimatti A bound for the temperature in the thermistor problem . . . . . . . . . . . 15--22 P. L. I. Skelton and G. Poots Approximate predictions of ice accretion on an overhead transmission line which rotates with constant angular velocity 23--35 S. Pushpavanam and R. Narayanan Comparison results for ignition in conjugate systems . . . . . . . . . . . 37--51 R. E. Grundy Asymptotic solutions of a model diffusion-reaction equation . . . . . . 53--72
N. F. Smyth and J. M. Hill High-order nonlinear diffusion . . . . . 73--86 George W. Bluman and Gregory J. Reid New symmetries for ordinary differential equations . . . . . . . . . . . . . . . 87--94 Lutz Wienert An existence proof for a boundary value problem with nonsmooth boundary from the theory of water waves . . . . . . . . . 95--112 J. B. Lawrie Axisymmetric radiation from a finite gap in an infinite, rigid, circular duct . . 113--128 Gabriele Jost Integral equations with modified fundamental solution in time-harmonic electromagnetic scattering . . . . . . . 129--143 J. Brindley and G. C. Wake Addendum to: ``On the existence and stability of spatially structured solutions of the reaction-diffusion equations'' [IMA J. Appl. Math. \bf 37 (1986), no. 1, 25--35; MR 90a:35119 ] by J. G. Graham-Eagle, B. F. Gray and Wake 145--146
S. D. Howison Similarity solutions to the Stefan problem and the binary alloy problem . . 147--161 J. R. King Extremely High Concentration Dopant Diffusion in Silicon . . . . . . . . . . 163--181 R. E. Grundy The Cauchy problem for a nonlinear diffusion equation with absorption and convection . . . . . . . . . . . . . . . 183--204 Nobuyuki Kenmochi and Mario Primicerio One-dimensional heat conduction with a class of automatic heat-source controls 205--216 Andrew Stuart Similarity solutions of a heat equation with nonlinearly varying heat capacity 217--234
Ronald Smith Entry and exit conditions for flow reactors . . . . . . . . . . . . . . . . 1--20 D. S. Jones Surface radiation conditions . . . . . . 21--30 Antonio Fasano and Mario Primicerio A phase-change model with a zone of coexistence of phases . . . . . . . . . 31--46 G. T. Warhola and A. C. Pipkin Shock structure in viscoelastic materials . . . . . . . . . . . . . . . 47--66 John R. Cannon and Joseph V. Koebbe and Rita M. Schmidt The determination of rate constants from known linear combinations of concentrations in a chemical reaction 67--84
William L. Kath and Gregory A. Kriegsmann Optical tunnelling: radiation losses in bent fibre-optic waveguides . . . . . . 85--103 Joel C. W. Rogers Existence, uniqueness, and construction of the solution of a system of ordinary functional-differential equations, with application to the design of perfectly focusing symmetric lenses . . . . . . . 105--134 Yong Ji Tan Boundary homogenization of an inverse nonlocal elliptic boundary value problem 135--146 C. J. van Duijn and S. M. Gomes and Hong Fei Zhang On a class of similarity solutions of the equation $ u_t = (\vert u \vert^{m - 1}u_x)_x $ with $ m > - 1 $ . . . . . . . 147--163
D. F. Parker and A. D. Fitt Non-diffusive models for pressure-swing adsorption . . . . . . . . . . . . . . . 165--192 D. R. Jenkins and N. G. Barton Computation of the free-surface shape of an inviscid jet incident on a porous wall . . . . . . . . . . . . . . . . . . 193--206 A. A. Lacey and D. Tzanetis Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition . . . . . . . . 207--215 P. J. Larcombe and G. Poots and P. L. I. Skelton and M. Shillor Mathematical models for ice accretion on conductors using free streamline theory. I. Single conductor . . . . . . . . . . 217--236 Srdjan Stojanovic Injection of ideal fluid from a slot into a stream: two free boundaries . . . 237--253
S. H. Smith The influence of variable convective velocities on longitudinal diffusion . . 1--11 Timothy N. Phillips Singular matched eigenfunction expansions for Stokes flow around a corner . . . . . . . . . . . . . . . . . 13--26 Andrew Stuart A note on high/low-wave-number interactions in spatially discrete parabolic equations . . . . . . . . . . 27--42 J. M. Hammersley and G. Mazzarino A differential equation connected with the dendritic growth of crystals . . . . 43--75 D. L. Colton and P. B. Monk The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium: numerical experiments . . . . . . . . . . . . . . 77--95 P. C. Chatwin and N. T. Hajian and N. Mole and C. D. Jones Investigations on the Atmospheric Dispersion of Clouds Containing Charged Tracers . . . . . . . . . . . . . . . . 97--117
Andrew P. Bassom and J. S. B. Gajjar Upper-branch instability of flow in pipes of large aspect ratio with three-dimensional nonlinear viscous critical layers . . . . . . . . . . . . 119--145 J. G. Burnell and J. G. Graham-Eagle and B. F. Gray and G. C. Wake Determination of critical ambient temperatures for thermal ignition . . . 147--154 S. D. Howison and J. R. King Explicit solutions to six free-boundary problems in fluid flow and diffusion . . 155--175 F. N. H. Robinson Experimental observation of the large-amplitude solutions of Duffing's and related equations . . . . . . . . . 177--201 P. A. Firby Separating sets as envelopes . . . . . . 203--208
J. R. Chan Hong and C. J. van Duijn and D. Hilhorst and J. van Kester The interface between fresh and salt groundwater: a numerical study . . . . . 209--240 Osman Yürekli A Parseval-type theorem applied to certain integral transforms . . . . . . 241--249 José-Francisco Rodrigues and Lisa Santos Asymptotic convergences in a one-phase continuous-casting Stefan problem with high extraction velocity . . . . . . . . 251--267 Andrew P. Bassom Weakly nonlinear lower-branch stability of fully developed and developing free-surface flows . . . . . . . . . . . 269--301
A. McNabb and L. Bass Flux-ratio theorems for nonlinear equations of generalized diffusion . . . 1--9 E. Varley and J. D. A. Walker A method for solving singular integrodifferential equations . . . . . 11--45 William V. Smith Waves in a perfectly conducting fluid filling a half-space . . . . . . . . . . 47--69 Yue-Kuen Kwok A regular perturbation method for subcritical flow over a two-dimensional airfoil . . . . . . . . . . . . . . . . 71--81 T. Bergstròm and S. Cowley and A. C. Fowler and P. E. Seward Segregation of carbon paste in a smelting electrode . . . . . . . . . . . 83--99
R. Dal Passo and P. de Mottoni On a moving boundary problem arising in fluidized bed combustion . . . . . . . . 101--126 James Graham-Eagle The minimal branch of solutions of an equation arising in thermal combustion theory . . . . . . . . . . . . . . . . . 127--131 R. Estrada and R. P. Kanwal Integral equations with logarithmic kernels . . . . . . . . . . . . . . . . 133--155 B. N. Mandal and A. Chakrabarti A note on diffraction of water waves by a nearly vertical barrier . . . . . . . 157--165 J. David Logan and Edwin L. Woerner Sensitivity of self-similar ZND waves in condensed media . . . . . . . . . . . . 167--184 Ileana Guia\csu and Hans Raszillier Optimal approximation of the electrostatic capacity matrix of two conducting spheres by a short-distance asymptotic expansion . . . . . . . . . . 185--193
G. F. Nalesso On the zeros of a class of Bessel functions whose argument and order are functions of a complex variable . . . . 195--217 M. Brokate and J. Sprekels Existence and optimal control of mechanical processes with hysteresis in viscous solids . . . . . . . . . . . . . 219--229 J. R. Willis The structure of overall constitutive relations for a class of nonlinear composites . . . . . . . . . . . . . . . 231--242 Herbert Steinrück Asymptotic analysis of the current-voltage curve of a $ p n p n $ semiconductor device . . . . . . . . . . 243--259 Steve Buonincontri and Thomas Hagstrom Multidimensional travelling wave solutions to reaction-diffusion equations . . . . . . . . . . . . . . . 261--271 R. B. Paris and A. D. Wood A model equation for optical tunnelling 273--284
K. Soni and N. M. Temme On a biorthogonal system associated with uniform asymptotic expansions . . . . . 1--25 Peter A. Clarkson Painlevé analysis and the complete integrability of a generalized variable-coefficient Kadomtsev--Petviashvili equation . . . . 27--53 W. Freeden and T. Gervens and J. C. Mason A minimum norm interpolation method for determining the displacement field of a homogeneous isotropic elastic body from discrete data . . . . . . . . . . . . . 55--76 G. Caginalp The dynamics of a conserved phase field system: Stefan-like, Hele--Shaw, and Cahn--Hilliard models as asymptotic limits . . . . . . . . . . . . . . . . . 77--94
R. H. Tew Ray theory of the diffraction of sound by an inhomogeneous membrane . . . . . . 95--110 James M. Hill Some integrable and exact similarity solutions for plane finite elastic deformations . . . . . . . . . . . . . . 111--126 D. S. Jones and X. Q. Mao A method for solving the inverse problem in soft acoustic scattering . . . . . . 127--143 J. Doyle and M. J. Englefield Similarity solutions of a generalized Burgers equation . . . . . . . . . . . . 145--153 A. McNabb and L. Bass Flux theorems for linear multicomponent diffusion . . . . . . . . . . . . . . . 155--161 J. P. Bourne and C. Atkinson Stress singularities in viscoelastic media. II. Plane-strain stress singularities at corners . . . . . . . . 163--180 James Graham-Eagle A variational approach to upper and lower solutions . . . . . . . . . . . . 181--184 Giovanni Cimatti Existence of weak solutions for the space-charge problem . . . . . . . . . . 185--195
Ann Kahlow Hobbs and William L. Kath Loss and birefringence for arbitrarily bent optical fibres . . . . . . . . . . 197--219 David J. N. Wall Uniqueness theorems for the inverse problem of elastodynamic boundary scattering . . . . . . . . . . . . . . . 221--241 G. Keady The Dupuit approximation for the rectangular dam problem . . . . . . . . 243--260 M. A. Dowaikh and R. W. Ogden On surface waves and deformations in a pre-stressed incompressible elastic solid . . . . . . . . . . . . . . . . . 261--284 C. Cosner and S. Lenhart and V. Protopopescu Parabolic systems with nonlinear competitive interactions . . . . . . . . 285--298
S. C. R. Dennis and S. Kocabiyik The solution of two-dimensional Oseen flow problems using integral conditions 1--31 A. J. Mestel More accurate skin-depth approximations 33--48 P. A. Firby and S. J. Hubbard Moiré separations . . . . . . . . . . . . 49--80 G. Caloz The model plasma problem: existence of a solution branch . . . . . . . . . . . . 81--98
W. A. Green and Jingyu Shi Deformations of discrete elastic networks . . . . . . . . . . . . . . . . 99--113 Anthony Kay Advection-diffusion in reversing and oscillating flows. 1. The effect of a single reversal . . . . . . . . . . . . 115--137 A. C. King A note on the impact of a jet on a porous wall . . . . . . . . . . . . . . 139--146 Chen Ke and S. Amini Analytical behaviour of solutions of boundary integral equations for a nonsmooth region . . . . . . . . . . . . 147--157 Ronald Smith Oxidant-limited depletion for a near-shore discharge . . . . . . . . . . 159--173 Yisong Yang Computation, dimensionality, and zero-dissipation limit of the Ginzburg--Landau wave equation . . . . . 175--194
J. M. Greenberg and W. Shyong Surging glacial flows . . . . . . . . . 195--223 W. R. Smith and G. C. Wake Mathematical analysis: an inverse problem arising in convective-diffusive flow . . . . . . . . . . . . . . . . . . 225--231 E. M. E. Zayed Heat equation of an arbitrary multiply-connected region in $ {{\bf R}}^2 $ with impedance boundary conditions . . . . . . . . . . . . . . . 233--241 James M. Hill and Desmond L. Hill High-order nonlinear evolution equations 243--265 D. S. Riley and S. H. Davis Long-wave interactions in morphological and convective instabilities . . . . . . 267--285 D. M. Herbert Thermal explosion theory for a reactive ridge . . . . . . . . . . . . . . . . . 287--298
J. P. Albert and J. L. Bona Total positivity and the stability of internal waves in stratified fluids of finite depth . . . . . . . . . . . . . . 1--19 C. J. Amick and J. F. Toland Uniqueness of Benjamin's solitary-wave solution of the Benjamin--Ono equation 21--28 J.-L. Lions Remarks on Darcy's law . . . . . . . . . 29--38 A. S. Lodge and W. G. Pritchard and L. R. Scott The hole-pressure problem . . . . . . . 39--66 Michael S. Longuet-Higgins Bubble noise . . . . . . . . . . . . . . 67--70 John H. Maddocks On the stability of relative equilibria 71--99 John Miles Nonlinear asymmetric excitation of edge waves . . . . . . . . . . . . . . . . . 101--108 T. Mullin Finite-dimensional dynamics in Taylor--Couette flow . . . . . . . . . . 109--119 Keith Promislow and Roger Temam Approximate interaction laws for small and large waves in the Ginzburg--Landau equation . . . . . . . . . . . . . . . . 121--136 P. G. Saffman Selection mechanisms and stability of fingers and bubbles in Hele--Shaw cells 137--145 J. T. Stuart The Lagrangian picture of fluid motion and its implication for flow structures 147--163 S. J. Tavener and K. A. Cliffe Primary flow exchange mechanisms in the Taylor apparatus applying impermeable stress-free boundary conditions . . . . 165--199
C. Y. Wang and L. T. Watson and K. A. Alexander Spinning of a liquid film from an accelerating disc . . . . . . . . . . . 201--210 Brian Straughan Convection caused by radiation through the layer . . . . . . . . . . . . . . . 211--216 S. Asghar and Bashir Ahmad and M. Ayub Point-source diffraction by an absorbing half-plane . . . . . . . . . . . . . . . 217--224 Michael Hanke On the asymptotic representation of a regularization approach to nonlinear semiexplicit higher-index differential-algebraic equations . . . . 225--245 R. Cade The stability theory of charge distributions on conductors . . . . . . 247--267 Sharon O. Seddougui and Andrew P. Bassom On the instability of Görtler vortices to nonlinear travelling waves . . . . . . . 269--296
P. J. Wicks The Diffusion of Two Chemically Reacting Pollutant Discharge Plumes in a Uniform Flow . . . . . . . . . . . . . . . . . . 1--21 L. Vijaya Bharathi and A. Chakrabarti Solution of a boundary value problem associated with diffraction of water waves by a nearly vertical barrier . . . 23--32 G. Zhang and J. H. Merkin and S. K. Scott Reaction-diffusion model for combustion with fuel consumption. I. Dirichlet boundary conditions . . . . . . . . . . 33--60 D. B. Ingham and Y. Yuan and H. Han The boundary-element method for an improperly posed problem . . . . . . . . 61--79 S. C. R. Dennis and S. Kocabiyik An asymptotic matching condition for unsteady boundary-layer flows governed by the Navier--Stokes equations . . . . 81--98 G. M. Webb and J. F. McKenzie Similarity solutions of the nonlinear Landau damping equation using Lie group analysis . . . . . . . . . . . . . . . . 99--108
A. Mikeli\'c and A. Suhadolc and K. Veseli\'c On the potential flow of an ideal incompressible fluid through a porous boundary . . . . . . . . . . . . . . . . 109--125 M. McIver An inverse problem in electromagnetic crack detection . . . . . . . . . . . . 127--145 Jonathan A. Sherratt A perturbation problem arising from a mechanical model for epithelial morphogenesis . . . . . . . . . . . . . 147--162 E. M. James and N. G. Lloyd A cubic system with eight small-amplitude limit cycles . . . . . . 163--171 A. A. Wheeler A strongly nonlinear analysis of the morphological instability of a freezing binary alloy: solutal convection, density change, and nonequilibrium effects . . . . . . . . . . . . . . . . 173--192 A. McNabb and G. C. Wake Heat conduction and finite measures for transition times between steady states 193--206 J. Burzlaff and A. D. Wood Optical tunnelling from one-dimensional square-well potentials . . . . . . . . . 207--215
Ioan R. Ionescu Some existence results in one-dimensional dynamic viscoplasticity with work hardening . . . . . . . . . . 217--228 Glenn Ledder and J. David Logan A signalling problem for near-equilibrium flows in the Fickett-Majda model of combustion . . . 229--246 T. R. Marchant and N. F. Smyth Initial-boundary value problems for the Korteweg--de Vries equation . . . . . . 247--264 Thomas S. Angell and Ralph E. Kleinman A constructive method for shape optimization: a problem in hydromechanics . . . . . . . . . . . . . 265--281 Y. S. Choi and K. C. Jen and P. J. McKenna The structure of the solution set for periodic oscillations in a suspension bridge model . . . . . . . . . . . . . . 283--306 T. Tang and S. McKee and M. W. Reeks On a moving boundary solution to the Fokker--Planck equation for particle transport in turbulent flows with absorbing boundaries . . . . . . . . . . 307--318
Luis G. Reyna and Michael J. Ward Drift-dominated current flow in forward-biased semiconductor devices . . 1--21 L. Tao and K. R. Rajagopal and A. S. Wineman Circular shearing and torsion of generalized neo-Hookean materials . . . 23--37 Abdul-Majid Wazwaz Asymptotic solutions of an eigenvalue problem with several second-order turning points . . . . . . . . . . . . . 39--51 Michael J. Ward and Eric F. Van de Velde The onset of thermal runaway in partially insulated or cooled reactors 53--83 Yu Qin and P. N. Kaloni Steady convection in a porous medium based upon the Brinkman model . . . . . 85--95 P. F. Siew Second-order effects in the induction of thin discs . . . . . . . . . . . . . . . 97--106
Zhi Xiong Chen and Ben Yu Guo Analytic solutions of the Nagumo equation . . . . . . . . . . . . . . . . 107--115 T. Bhattacharya A note on the space charge problem . . . 117--124 Maurice Gaultier and Mikel Lezaun An existence and uniqueness theorem for the transfer of mass and heat in a rectangular cavity . . . . . . . . . . . 125--148 Camilla E. Kerr Diffusion-controlled smoulder propagation in a semi-infinite solid: a numerical solution . . . . . . . . . . . 149--162 D. S. Jones An improved surface radiation condition 163--193 D. J. Steigmann Equilibrium of prestressed networks . . 195--215
M. Teymur Assessment of the surface radiation condition by reference to acoustic scattering by a hard sphere . . . . . . 217--241 G. A. Kriegsmann Acoustic target reconstruction using geometrical optics phase information . . 243--247 Jacob Rubinstein and Peter Sternberg Nonlocal reaction-diffusion equations and nucleation . . . . . . . . . . . . . 249--264 M. G. Hilgers and A. C. Pipkin The Graves condition for variational problems of arbitrary order . . . . . . 265--269 W. Allegretto and H. Xie Existence of solutions for the time-dependent thermistor equations . . 271--281 James M. Hill and Aaron J. Avagliano and Maureen P. Edwards Some exact results for nonlinear diffusion with absorption . . . . . . . 283--304 Jeremiah G. Murphy Some new closed-form solutions describing spherical inflation in compressible finite elasticity . . . . . 305--316
R. Cade Electrohydrostatic equilibrium and field solutions under space-charge conditions 1--13 James P. Denier The structure of fully nonlinear Taylor vortices . . . . . . . . . . . . . . . . 15--33 Bryan P. Rynne The well-posedness of the integral equations for thin wire antennas . . . . 35--44 D. V. Evans Trapped acoustic modes . . . . . . . . . 45--60 M. Grinfeld and J. E. Furter and J. C. Eilbeck A monotonicity theorem and its application to stationary solutions of the phase field model . . . . . . . . . 61--72 Simon J. Tavener Symmetric and nonsymmetric equilibria of a rod-and-spring model . . . . . . . . . 73--102
J. David Logan and Steven R. Dunbar Travelling waves in model reacting flows with reversible kinetics . . . . . . . . 103--121 Steven G. Alderson A solution by operational calculus to the problem of the optimization of tidal power . . . . . . . . . . . . . . . . . 123--138 Chun Qing Lu and A. Dean MacGillivray and Stuart P. Hastings Asymptotic behaviour of solutions of a similarity equation for laminar flows in channels with porous walls . . . . . . . 139--162 David Colton and Peter Monk The numerical solution of an inverse scattering problem for acoustic waves 163--184 H. P. W. Gottlieb Axisymmetric isospectral annular plates and membranes . . . . . . . . . . . . . 185--192
B. D. Sleeman and Chen Hua An analogue of Berry's conjecture for the phase in fractal obstacle scattering 193--202 A. B. Olde Daalhuis Hyperasymptotic expansions of confluent hypergeometric functions . . . . . . . . 203--216 Renato Spigler and Damián H. Zanette Reaction-diffusion models from the Fokker--Planck formulation of chemical processes . . . . . . . . . . . . . . . 217--229 Abdul-Majid Wazwaz Resonance and asymptotic solutions of a singular perturbation problem . . . . . 231--244 A. B. Movchan and S. A. Nazarov Asymptotic behaviour of stress-strain state in the vicinity of sharp defects in an elastic body . . . . . . . . . . . 245--272 R. A. Sisson and A. Swift and G. C. Wake and B. F. Gray The self-heating of damp cellulosic materials. I. High thermal conductivity and diffusivity . . . . . . . . . . . . 273--291 E. Ryder and D. F. Parker Coupled evolution equations for axially inhomogeneous optical fibres . . . . . . 293--309 A. S. Lodge and W. G. Pritchard and L. R. Scott Corrigendum to: ``The hole-pressure problem'' [IMA J. Appl. Math. \bf 46 (1991), no. 1--2, 39--66; MR 92b:76025] 311--311
Peter Gross On harmonic resonance in forced nonlinear oscillators exhibiting a Hopf bifurcation . . . . . . . . . . . . . . 1--12 M. C. W. Jones On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability . . . . . . . . . 13--28 Ling Hai Zhang Decay of solutions of the multidimensional generalized Kuramoto--Sivashinsky system . . . . . . 29--42 J. H. Merkin and D. J. Needham and S. K. Scott Coupled reaction-diffusion waves in an isothermal autocatalytic chemical system 43--76 L. A. Skinner Matched asymptotic expansions of integrals . . . . . . . . . . . . . . . 77--90
Ronald Smith The calculation of upstream concentrations from downstream data for a two-layer flow . . . . . . . . . . . . 91--105 H. P. W. Gottlieb Inhomogeneous annular plates with exactly beam-like radial spectra . . . . 107--112 D. B. Ingham and Y. Yuan The solution of a nonlinear inverse problem in heat transfer . . . . . . . . 113--132 Mehmet Pakdemirli Boundary layer flow of power-law fluids past arbitrary profiles . . . . . . . . 133--148 S. K. Wilson The levelling of paint films . . . . . . 149--166 A. P. Bassom and P. A. Clarkson and A. C. Hicks Numerical studies of the fourth Painlevé equation . . . . . . . . . . . . . . . . 167--193 James M. Hill Cylindrical and spherical inflation in compressible finite elasticity . . . . . 195--201 M. Grinfeld and J. E. Furter and J. C. Eilbeck Corrigendum to: ``A monotonicity theorem and its application to stationary solutions of the phase field model'' [IMA J. Appl. Math. \bf 49 (1992), no. 1, 61--72; MR 93j:80003] . . . . . . . . 203--204
Grant Keady and Alex McNabb Functions with constant Laplacian satisfying homogeneous Robin boundary conditions . . . . . . . . . . . . . . . 205--224 A. C. Pipkin Relaxed energy densities for small deformations of membranes . . . . . . . 225--237 Y. S. Choi and Roger Lui Long-time behaviour of solutions of an electrophoretic model with a single reaction . . . . . . . . . . . . . . . . 239--252 Massimo Lanza de Cristoforis The large deformation of non-linearly elastic rings in a two-dimensional compressible flow . . . . . . . . . . . 253--283 R. A. Sisson and A. Swift and G. C. Wake and B. F. Gray The self-heating of damp cellulosic materials. II. On the steady states of the spatially distributed case . . . . . 285--306
X.-Q. Zhao and B. D. Sleeman Permanence in Kolmogorov competition models with diffusion . . . . . . . . . 1--11 S. R. Otto Stability of the flow around a cylinder: the spin-up problem . . . . . . . . . . 13--26 Andrew H. Dando and Sharon O. Seddougui The compressible Görtler problem in two-dimensional boundary layers . . . . 27--67 G. Zhang and J. H. Merkin and S. K. Scott Reaction-diffusion model for combustion with fuel consumption. II. Robin boundary conditions . . . . . . . . . . 69--93
R. K. Colegrave and J. M. Hyde The Lanchester square-law model extended to a $ (2, 2) $ conflict . . . . . . . . 95--109 Giovanni Cimatti and Eduard Feireisl The equations of electrohydrodynamics with highly irregular initial data . . . 111--122 Henry Power The completed double layer boundary integral equation method for two-dimensional Stokes flow . . . . . . 123--145 Ann Guo and Barbara Abraham-Shrauner Hidden symmetries of energy-conserving differential equations . . . . . . . . . 147--153 P. J. Wicks and Ronald Smith Oxidation of reactive solute released into shear flow . . . . . . . . . . . . 155--168 K. El-Ali and C. Atkinson Boundary value problems involving Herschel--Bulkley material . . . . . . . 169--186 Ronald Smith Optimum use of holding tanks to avoid pollution surges in narrow estuaries . . 187--199
Peter Hähner A uniqueness theorem in inverse scattering of elastic waves . . . . . . 201--215 A. C. McIntosh A Semenov approach to the modelling of thermal runaway of damp combustible material . . . . . . . . . . . . . . . . 217--237 Joseph E. Paullet Existence and uniqueness of a solution for a BVP from developmental biology . . 239--249 Y. S. Choi and Xun Yu Steady-state solution for electroplating 251--267 M. J. Metcalf and J. H. Merkin and S. K. Scott Reaction-diffusion waves in coupled isothermal autocatalytic chemical systems . . . . . . . . . . . . . . . . 269--298 S. A. Gourley and N. F. Britton Instability of travelling wave solutions of a population model with nonlocal effects . . . . . . . . . . . . . . . . 299--310
D. J. Arrigo and J. M. Hill and P. Broadbridge Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source . . . . . . . . . . . . 1--24 Kalvis M. Jansons Determination of the slip boundary condition between a gas and a solid surface with a random array of rough patches . . . . . . . . . . . . . . . . 25--29 Bruce D. Lowe and William Rundell The determination of a coefficient in a parabolic equation from input sources 31--50 P. J. Blennerhassett and Andrew P. Bassom Nonlinear high-wavenumber Bénard convection . . . . . . . . . . . . . . . 51--77 Jonathan A. Sherratt On the speed of amplitude transition waves in reaction-diffusion systems of $ \lambda $-$ \omega $ type . . . . . . . 79--92 Ruxandra Stavre Study of a jet incident on a porous wall in a gravity field . . . . . . . . . . . 93--103
Y. S. Choi and Roger Lui and Xun Yu Electrolysis and isoelectric focusing 105--122 J. M. Arnold Stability theory for periodic pulse train solutions of the nonlinear Schrödinger equation . . . . . . . . . . 123--140 A. H. Pincombe and N. F. Smyth Microwave heating of materials with power law temperature dependencies . . . 141--176 C. J. van Duijn and Peter Knabner Flow and reactive transport in porous media induced by well injection: similarity solution . . . . . . . . . . 177--200
Glenn Ledder Analytical solution of a near-equidiffusional flame problem . . . 201--220 C. Atkinson and R. V. Craster A singular perturbation approach to integral equations occurring in poroelasticity . . . . . . . . . . . . . 221--252 R. V. Craster Two related free boundary problems . . . 253--270 Anne-Sophie Bonnet-Bendhia and Rabia Djellouli High-frequency asymptotics of guided modes in optical fibres . . . . . . . . 271--287 M. Aron On a class of plane radial deformations of compressible non-linearly elastic solids . . . . . . . . . . . . . . . . . 289--296 A. C. Pipkin Relaxed energy densities for large deformations of membranes . . . . . . . 297--308
R. Cade On integral equations of axisymmetric potential theory . . . . . . . . . . . . 1--25 Peter Gross On oscillation types in forced nonlinear oscillators close to harmonic resonance 27--43 A. P. Rothmayer and D. W. Black and W. Hao Asymptotic Reynolds-averaged closure of nonlinear ensembles . . . . . . . . . . 45--73 Adrian V. Coward and Demetrios T. Papageorgiou Stability of oscillatory two-phase Couette flow . . . . . . . . . . . . . . 75--93 O. R. Tutty and G. Denuault Second-order kinetics for $ E C' $ reactions at a spherical microelectrode 95--109
K. R. Rajagopal and Yu-Ning Huang Finite circumferential shearing of nonlinear solids in the context of thermoelasticity . . . . . . . . . . . . 111--125 D. M. Herbert and C. E. Kerr and J. Adler Diffusion-controlled smoulder propagation in a semi-infinite solid: the asymptotic temperature distribution 127--136 D. J. Needham and A. C. King and J. H. Merkin A reaction-diffusion model for autocatalytic polymerization. I. Permanent form travelling waves . . . . 137--149 R. E. Grundy and H. R. Allen The asymptotic solution of a family of boundary value problems involving exponentially small terms . . . . . . . 151--168 Kalvis M. Jansons A general duality for nonlinear two-dimensional conduction . . . . . . . 169--172 Guang Wei Yuan Existence and uniqueness of the classical solution for the steady-state electrochemical machining problem . . . 173--190 Nicholas D. Blackaby Tollmien-Schlichting/vortex interactions in compressible boundary-layer flows . . 191--214
Kalvis M. Jansons The second virial coefficient for a strongly Brownian suspension of arbitrary convex bodies with model interaction potentials . . . . . . . . . 215--219 J. S. B. Gajjar Nonlinear evolution of a first mode oblique wave in a compressible boundary layer. I. Heated/cooled walls . . . . . 221--248 P. Broadbridge and P. Tritscher An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces . . . . . . . 249--265 Giovanni Cimatti Uniqueness for a problem of mixing in electrohydrodynamics . . . . . . . . . . 267--273 J. J. R\vego Silva and H. Power and L. C. Wrobel A new integral formulation for $3$D elastic wave propagation . . . . . . . . 275--293 R. Hill and J. H. Merkin Pattern formation in a coupled cubic autocatalator system . . . . . . . . . . 295--322
James Graham-Eagle A nonlocal equation arising in the theory of wet combustion . . . . . . . . 1--8 Yongzhi Xu Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity . . . . . . 9--29 D. Hömberg A mathematical model for the phase transitions in eutectoid carbon steel 31--57 A. D. Rawlins A bifurcated circular waveguide problem 59--81 A. C. McIntosh and J. F. Griffiths On the thermal runaway of combustible fluids in lagging material . . . . . . . 83--96 D. R. S. Talbot and J. R. Willis and V. Nesi On improving the Hashin-Shtrikman bounds for the effective properties of three-phase composite media . . . . . . 97--107
James M. Hill and Daniel J. Arrigo New families of exact solutions for finitely deformed incompressible elastic materials . . . . . . . . . . . . . . . 109--123 Peter Grindrod Some semilinear elliptic equations with nonlinear boundary conditions: radial solutions and simple symmetry-breaking 125--137 P. A. Martin Asymptotic approximations for functions defined by series, with some applications to the theory of guided waves . . . . . . . . . . . . . . . . . 139--157 S. J. Chapman Stability of travelling waves in models of superconductivity . . . . . . . . . . 159--169 Antonios Charalambopoulos The reconstruction of the surface of scatterers with continuous curvature via low-frequency moments . . . . . . . . . 171--201
Chang Zheng Qu Allowed transformations and symmetry classes of variable coefficient Burgers equations . . . . . . . . . . . . . . . 203--225 Thomas P. Witelski Stopping and merging problems for the porous media equation . . . . . . . . . 227--243 Charles C. K. Wu and Yue-Kuen Kwok Linear hydrodynamical stability of two-layer inclined flow with viscosity and density stratifications . . . . . . 245--256 R. Hill and J. H. Merkin The effects of coupling on pattern formation in a simple autocatalytic system . . . . . . . . . . . . . . . . . 257--281 David Steigmann A. C. Pipkin . . . . . . . . . . . . . . 283--283 A. C. Pipkin Energy theorems for infinitesimal plane wrinkling of inextensible networks . . . 285--299 Akhlesh Lakhtakia and Werner S. Weiglhofer On a constraint on the electromagnetic constitutive relations of nonhomogeneous linear media . . . . . . . . . . . . . . 301--306
D. J. Steigmann and Dongqing Li Energy-minimizing states of capillary systems with bulk, surface, and line phases . . . . . . . . . . . . . . . . . 1--17 Abbey J. Perumpanani and Jonathan A. Sherratt and Philip K. Maini Phase differences in reaction-diffusion-advection systems and applications to morphogenesis . . . . . 19--33 I. D. Abrahams and J. B. Lawrie On the factorization of a class of Wiener--Hopf kernels . . . . . . . . . . 35--47 David A. Edwards and Donald S. Cohen The effect of a changing diffusion coefficient in super-case II polymer-penetrant systems . . . . . . . 49--66 George Dassios and Gregory Kamvyssas Point source excitation in direct and inverse scattering: the soft and the hard small sphere . . . . . . . . . . . 67--84 B. C. Li and S. Syngellakis On improperly posed Cauchy problems and their approximate solution . . . . . . . 85--95
Yusry O. El-Dib On stability of parametric resonances of nonlinear surface waves propagating between two superposed electrified fluids . . . . . . . . . . . . . . . . . 97--116 J. H. Merkin and M. J. Metcalf and D. J. Needham and S. K. Scott The propagation of isothermal reaction-diffusion waves in coupled autocatalytic systems . . . . . . . . . 117--133 Jan H. van Vuuren The existence of travelling plane waves in a general class of competition-diffusion systems . . . . . 135--148 Kalvis M. Jansons and L. C. G. Rogers Probability and dispersion theory . . . 149--162 F. G. Leppington The interaction between sound and circulatory fluid motion as a problem in matched expansions . . . . . . . . . . . 163--186 C. M. Linton Multipole methods for boundary-value problems involving a sphere in a tube 187--204
R. Cade On discontinuous solutions of the integral equations of electrostatics . . 205--220 M. S. Howe Damping of sound and vibration by flow nonlinearity in the apertures of a perforated elastic screen . . . . . . . 221--242 G. A. Kriegsmann and B. A. Wagner Microwave heating of carbon-coated ceramic fibres: a mathematical model . . 243--255 J. Adler Time-dependent laser ignition of a combustible stagnant boundary layer . . 257--268 A. McNabb Block-size determination in fractured porous media . . . . . . . . . . . . . . 269--279 Semion Gutman and Michael V. Klibanov and Alexander V. Tikhonravov Global convexity in a single-source $3$-D inverse scattering problem . . . . 281--302 D. F. Popple and F. G. Leppington The sound field due to a periodic array of forced wave-bearing strips . . . . . 303--315
Harold Levine and Alex McNabb Some unsteady diffusion and absorption problems . . . . . . . . . . . . . . . . 1--19 Pompiliu Donescu and Lawrence N. Virgin Efficient determination of higher-order periodic solutions using $n$-mode harmonic balance . . . . . . . . . . . . 21--32 J. R. King and M. G. Meere Asymptotic analysis of a combined dissociative and kick-out diffusion mechanism . . . . . . . . . . . . . . . 33--63 D. J. Needham and A. C. King and J. H. Merkin A reaction-diffusion model for autocatalytic polymerization: II. The initial value problem . . . . . . . . . 65--86 J. Buckmaster A theory of shallow smoulder waves . . . 87--102 Kalvis M. Jansons A mechanism for slip between a liquid and a random surface with trapped gas due to a temperature gradient . . . . . 103--108
Edoardo Scarpetta and Mezhlum A. Sumbatyan Explicit analytical results for one-mode oblique penetration into a periodic array of screens . . . . . . . . . . . . 109--120 S. A. Gourley Instability in a predator-prey system with delay and spatial averaging . . . . 121--132 K. Z. Markov and D. R. S. Talbot and J. R. Willis On stationary diffusion in heterogeneous media . . . . . . . . . . . . . . . . . 133--144 F. A. Davidson and B. P. Rynne Local and global behaviour of steady-state solutions of the Sel\cprimekov model . . . . . . . . . . 145--155 T. R. Marchant and N. F. Smyth Soliton interaction for the extended Korteweg--de Vries equation . . . . . . 157--176 Kalvis M. Jansons The general drift decomposition for diffusion with advection . . . . . . . . 177--181 Sharon O. Seddougui and Andrew P. Bassom The effects of suction on the nonlinear stability of a three-dimensional compressible boundary layer . . . . . . 183--206
J. M. Vanden-Broeck Periodic waves with constant vorticity in water of infinite depth . . . . . . . 207--217 Shin-Hwa H. Wang Bifurcation of an equation arising in porous-medium combustion . . . . . . . . 219--234 Barbara Abraham-Shrauner Hidden symmetries and nonlocal group generators for ordinary differential equations . . . . . . . . . . . . . . . 235--252 R. V. Craster Yield surfaces for Herschel--Bulkley flows in complex geometries . . . . . . 253--276 R. Shepherd and R. J. Wiltshire Spectral decompositions in nonlinear coupled diffusion . . . . . . . . . . . 277--287 Jonathan A. Sherratt and Ben P. Marchant Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation . . . . . . 289--302 D. M. Haughton Axisymmetric elastic membranes subjected to fluid loading . . . . . . . . . . . . 303--320
J. R. King and C. P. Please Asymptotic analysis of the growth of cake layers in filters . . . . . . . . . 1--28 Stephen Crompton and Peter Grindrod A geometric approach to fingering instabilities for reaction fronts in fully coupled geochemical systems . . . 29--40 D. R. S. Talbot and J. R. Willis Three-point bounds for the overall properties of a nonlinear composite dielectric . . . . . . . . . . . . . . . 41--52 V. A. Galaktionov and J. R. King On the behaviour of blow-up interfaces for an inhomogeneous filtration equation 53--77 W. R. Smith and S. D. Howison and D. F. Mayers Numerical and asymptotic solution of a sixth-order nonlinear diffusion equation and related coupled systems . . . . . . 79--98 M. S. Howe Corrigendum to: ``Damping of sound and vibration by flow nonlinearity in the apertures of a perforated elastic screen'' [IMA J. Appl. Math. \bf 55 (1995), no. 3, 221--242; MR 97b:76114] 99--99
Jian-Jun Xu Interfacial instabilities and fingering formation in Hele--Shaw flow . . . . . . 101--135 M. Teymur A note on higher-order surface radiation conditions . . . . . . . . . . . . . . . 137--163 C. Garcia Reimbert and A. A. Minzoni and N. F. Smyth Effect of radiation losses on hotspot formation and propagation in microwave heating . . . . . . . . . . . . . . . . 165--179 R. V. Craster Conformal mappings involving curvilinear quadrangles . . . . . . . . . . . . . . 181--191 Weidong Peng Free-surface shapes of a jet injecting through a porous wall . . . . . . . . . 193--210
Faustino Sánchez-Garduño and Philip K. Maini and M. E. Kappos A shooting argument approach to a Sharp-type solution for nonlinear degenerate Fisher-KPP equations . . . . 211--221 D. Fusco and N. Manganaro A method for finding exact solutions to hyperbolic systems of first-order PDEs 223--242 P. A. Krutitskii Fast stratified flow over several obstacles, including wings . . . . . . . 243--256 J. E. Truscott and J. Brindley and A. McIntosh and J. Griffiths The effect of diffusion on the autoignition of combustible fluids in insulation materials . . . . . . . . . . 257--271 J. H. Merkin and M. A. Sadiq The propagation of travelling waves in an open cubic autocatalytic chemical system . . . . . . . . . . . . . . . . . 273--309 Giuseppe Saccomandi A note on inhomogeneous deformations of nonlinear elastic layers . . . . . . . . 311--324
Simon Hood On symmetry- and ansatz-based methods for integrating ordinary differential equations . . . . . . . . . . . . . . . 1--18 Eunice W. Mureithi and James P. Denier and Jillian A. K. Stott The effect of buoyancy on upper-branch Tollmien-Schlichting waves . . . . . . . 19--50 A. H. Khater and R. S. Ibrahim and A. B. Shamardan and D. K. Callebaut Bäcklund transformations and Painlevé analysis: exact solutions for a Grad-Shafranov-type magnetohydrodynamic equilibrium . . . . . . . . . . . . . . 51--69 Jaime E. Muñoz Rivera and Milton de Lacerda Oliveira Exponential stability for a contact problem in thermoelasticity . . . . . . 71--82 Christodoulos Athanasiadis and Ioannis G. Stratis Electromagnetic scattering by a chiral obstacle . . . . . . . . . . . . . . . . 83--91
Z. M. Rogoff and R. H. Tew Acoustic radiation from a phased line source at a fluid-solid boundary . . . . 93--110 C. Y. Wang Longitudinal flow through an array of rectangular cylinders . . . . . . . . . 111--120 J. D. Evans and A. B. Tayler and J. R. King Finite-length mask effects in the isolation oxidation of silicon . . . . . 121--146 Gamal N. Elnagar and Ahmed Khamayseh On the optimal spectral Chebyshev solution of a controlled nonlinear dynamical system . . . . . . . . . . . . 147--157 Stephen M. Cox Long-wavelength thermal convection in a weak shear flow . . . . . . . . . . . . 159--184
Anthony Kay Advection-diffusion in reversing and oscillating flows. 2. Flows with multiple reversals . . . . . . . . . . . 185--210 G. Guidone Peroli and E. G. Virga Modelling the capillary locking of point defects in nematic liquid crystals . . . 211--236 F. A. Davidson and B. D. Sleeman and J. W. Crawford Travelling waves in a reaction-diffusion system modelling fungal mycelia . . . . 237--257 Xin-Lin Gao and Satya N. Atluri An exact finite deformation elasto-plastic solution for the outside-in free eversion problem of a tube of elastic linear-hardening material . . . . . . . . . . . . . . . . 259--275
J. B. Lawrie and I. D. Abrahams Scattering of fluid loaded elastic plate waves at the vertex of a wedge of arbitrary angle. I. Analytic solution 1--23 N. Kuznetsov and O. Motygin On the waveless statement of the two-dimensional Neumann-Kelvin problem for a surface-piercing body . . . . . . 25--42 M. R. Green and F. G. Leppington The inner and outer flow fields due to a pair of spheres moving unsteadily through a compressible fluid: rectilinear motion . . . . . . . . . . . 43--69 F. Liu and D. L. S. McElwain A computationally efficient solution technique for moving-boundary problems in finite media . . . . . . . . . . . . 71--84 Igor Chudinovich and Christian Constanda Weak solutions of interior boundary-value problems for plates with transverse shear deformation . . . . . . 85--94 R. W. Ogden and D. A. Sotiropoulos The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids 95--121
G. A. Kriegsmann Hot spot formation in microwave heated ceramic fibres . . . . . . . . . . . . . 123--148 P. F. Siew On the differentiation between the magnetic anomalies of cylinders and disks . . . . . . . . . . . . . . . . . 149--164 Hilmi Demiray Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid . . . . . . . . . 165--181 D. Lesnic and L. Elliott and D. B. Ingham Spacewise coefficient identification in steady and unsteady one-dimensional diffusion problems . . . . . . . . . . . 183--192 L. J. Walpole An inclusion in one of two joined isotropic elastic half-spaces . . . . . 193--209 J. Vanneste On the derivation of fluxes for conservation laws in Hamiltonian systems 211--220 D. G. Roxburgh Electromagnetic scattering from a right-circular cylinder using a surface radiation condition . . . . . . . . . . 221--230
R. J. Tait and P. Connor On the expansion of a deformed cylindrical elastic membrane . . . . . . 231--243 H.-H. Dai Uniform asymptotic analysis for waves in an incompressible elastic rod. I. Disturbances superimposed on an initially stress-free state . . . . . . 245--260 Tetsuya Misawa The similarity method in stochastic dynamical systems . . . . . . . . . . . 261--272 M. Z. Apabhai and N. I. Georgikopoulos and D. Hasnip and R. K. D. Jamie and M. Kim and P. Wilmott A model for the value of a business, some optimization problems in its operating procedures and the valuation of its debt . . . . . . . . . . . . . . 273--285 R. E. Grundy and R. McLaughlin Global blow-up of separable solutions of the vorticity equation . . . . . . . . . 287--307 H. E. Huntley and A. S. Wineman and K. R. Rajagopal Stress softening, strain localization and permanent set in the circumferential shear of an incompressible elastomeric cylinder . . . . . . . . . . . . . . . . 309--338
J. H. Merkin and H. \vSev\vcíková and D. \vSnita and M. Marek The effects of an electric field on an autocatalytic ionic reaction in a system with high ionic strength . . . . . . . . 1--31 D. S. Jones Irradiation of a cone by a magnetic dipole . . . . . . . . . . . . . . . . . 33--53 T. R. Nordenholz and O. M. O'Reilly On steady motions of isotropic, elastic Cosserat points . . . . . . . . . . . . 55--72 John Gilchrist and Gregory A. Kriegsmann and Demetrios T. Papageorgiou Stability of a microwave heated fluid Layer . . . . . . . . . . . . . . . . . 73--89 Walter Kelley Spike layer phenomena for pairs of second-order equations . . . . . . . . . 91--108
Ha V. Hoang and James M. Hill and J. N. Dewynne Pseudo-steady-state solutions for solidification in a wedge . . . . . . . 109--121 Akmel Dé Godefroy Blow up of solutions of a generalized Boussinesq equation . . . . . . . . . . 123--138 Xin-Lin Gao A mathematical analysis of the elasto-plastic plane stress problem of a power-law material . . . . . . . . . . . 139--149 N. M. Bujurke and N. P. Pai and G. Jayaraman Computer extended series solution for unsteady flow in a contracting or expanding pipe . . . . . . . . . . . . . 151--165 Giovanni Frosali Asymptotic analysis for a particle transport problem in a moving medium . . 167--185 A. A. Adam and F. M. Mahomed Non-local symmetries of first-order equations . . . . . . . . . . . . . . . 187--198 H. Ammari Scattering of waves by thin periodic layers at high frequencies using the on-surface radiation condition method 199--214
G. Dattoli and A. Torre and G. Mazzacurati An alternative point of view to the theory of fractional Fourier transform 215--224 A. S. Bonnet-BenDhia and G. Caloz and F. Mahé Guided modes of integrated optical guides. A mathematical study . . . . . . 225--261 Jaime E. Muñoz Rivera and Rioco Kamei Barreto Decay rates of solutions to thermoviscoelastic plates with memory 263--283 P. A. Krutitskii On the electric current from electrodes in a magnetized semiconductor film . . . 285--297 P. G. Bellamy-Knights An image system and surface singularity solutions for potential flow past an elliptical cylinder . . . . . . . . . . 299--310
Bill Peck and Lorenz Sigurdson On the kinematics at a free surface . . 1--13 Shigui Ruan Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling . . . . . . . 15--32 F. Liu and D. L. S. McElwain and E. Donskoi The use of a modified Petrov--Galerkin method for gas-solid reaction modelling 33--46 I. W. Stewart Painlevé analysis for a semi-linear parabolic equation arising in smectic liquid crystals . . . . . . . . . . . . 47--60 R. W. Ogden and D. A. Sotiropoulos Reflection of plane waves from the boundary of a pre-stressed compressible elastic half-space . . . . . . . . . . . 61--90 V. Mityushev Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case . . . . . . . . . . . 91--102
J. Adler and D. M. Herbert Non-planar smoulder propagation governed by diffusion . . . . . . . . . . . . . . 105--117 Roland Potthast A point source method for inverse acoustic and electromagnetic obstacle scattering problems . . . . . . . . . . 119--140 Igor Chudinovich and Christian Constanda Variational treatment of exterior boundary-value problems for thin elastic plates . . . . . . . . . . . . . . . . . 141--153 D. P. Williams and R. V. Craster Scattering by small defects in the neighbourhood of a fluid-solid interface 155--177 D. A. S. Rees and I. Pop Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate . . . . . . . . . . . . . . . . . 179--197
David Yang Gao Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications . . . . . . . . . . . . . . 199--235 I. A. Frigaard and O. Scherzer Uniaxial exchange flows of two Bingham fluids in a cylindrical duct . . . . . . 237--266 Andrew N. Norris A direct inverse scattering method for imaging obstacles with unknown surface conditions . . . . . . . . . . . . . . . 267--290 R. W. Penney Analytic determination of gradients of intervisibility over continuous randomly-generated topography . . . . . 291--303
Hui-Hui Dai and Zongxi Cai Uniform asymptotic analysis for waves in an incompressible elastic rod. II. Disturbances superimposed on a pre-stressed state . . . . . . . . . . . 1--29 L. M. Brock Rapid crack growth in a thermoelastic solid under mixed-mode thermomechanical loading . . . . . . . . . . . . . . . . 31--44 L. A. Skinner Passages through resonance in weakly nonlinear systems . . . . . . . . . . . 45--59 George Dassios and Ralph Kleinman (deceased) Half space scattering problems at low frequencies . . . . . . . . . . . . . . 61--79 N. Kuznetsov and O. Motygin On the resistanceless statement of the two-dimensional Neumann-Kelvin problem for a surface-piercing tandem . . . . . 81--99
D. Lesnic and L. Elliott and D. B. Ingham Analysis of coefficient identification problems associated to the inverse Euler--Bernoulli beam theory . . . . . . 101--116 A. Charalambopoulos and G. Dassios Scattering of a spherical wave by a small ellipsoid . . . . . . . . . . . . 117--136 B. Liu and T. R. Marchant The microwave heating of two-dimensional slabs with small Arrhenius absorptivity 137--166 A. Sellier Asymptotic solution for the electrostatic field around a slender conducting body . . . . . . . . . . . . 167--193 S. D. Watt and R. O. Weber and H. S. Sidhu and G. N. Mercer A weight-function approach for determining watershed initial conditions for combustion waves . . . . . . . . . . 195--206
Y. S. Choi and Diana Resasco and Jim Schaff and Boris Slepchenko Electrodiffusion of ions inside living cells . . . . . . . . . . . . . . . . . 207--226 Chung-Ki Cho and YongHoon Kwon Parameter estimation in nonlinear age-dependent population dynamics . . . 227--244 F. G. O'Neill Axisymmetric trawl cod-ends made from netting of a generalized mesh shape . . 245--262 Jeong-Hoon Kim Reflected pulses from a refractive random medium at grazing incidence . . . 263--282 Changzheng Qu Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method . . . . . . 283--302
W. R. Smith and J. R. King and B. Tuck and J. W. Orton The single-mode rate equations for semiconductor lasers with thermal effects . . . . . . . . . . . . . . . . 1--36 L. D. Humphreys and P. J. McKenna Multiple periodic solutions for a nonlinear suspension bridge equation . . 37--49 Rabia Djellouli and Charbel Farhat and Jan Mandel and Petr Van\vek Continuous Fréchet differentiability with respect to a Lipschitz domain and a stability estimate for direct acoustic scattering problems . . . . . . . . . . 51--69 Javier Esparza and José L. López and Javier Sesma Zeros of the Whittaker function associated to Coulomb waves . . . . . . 71--87 David A. Edwards Estimating rate constants in a convection-diffusion system with a boundary reaction . . . . . . . . . . . 89--112
Salah Drabla and Mircea Sofonea Analysis of a Signorini problem with friction . . . . . . . . . . . . . . . . 113--130 Giuseppe Saccomandi On inhomogeneous deformations in finite thermoelasticity . . . . . . . . . . . . 131--148 Satish T. S. Bukkapatnam and Soundar R. T. Kumara and Akhlesh Lakhtakia Local eigenfunctions based suboptimal wavelet packet representation of contaminated chaotic signals . . . . . . 149--162 D. V. Strunin Autosoliton model of the spinning fronts of reaction . . . . . . . . . . . . . . 163--177 Jan H. van Vuuren Resilience in reaction-diffusion systems 179--197 Alison L. Kay and Jonathan A. Sherratt On the persistence of spatiotemporal oscillations generated by invasion . . . 199--216
S. J. Chapman and A. D. Fitt and G. C. Pulos Vacuum moulding of a superplastic in two dimensions . . . . . . . . . . . . . . . 217--246 L. J. Alvarez-Vázquez and A. Martínez Modelling and control of natural convection in canned foods . . . . . . . 247--265 Natalia L. Komarova and Alan C. Newell The competition between nonlinearity, dispersion and randomness in signal propagation . . . . . . . . . . . . . . 267--286 R. E. Grundy and R. McLaughlin Three-dimensional blow-up solutions of the Navier--Stokes equations . . . . . . 287--306 Michael J. Clifford and Stephen M. Cox A simple model for a two-stage chemical reaction with diffusion . . . . . . . . 307--318
H. Takase and B. D. Sleeman Generalized travelling coordinate for systems of reaction-diffusion equations 1--22 A. C. Fowler and G. Kember and S. G. B. O'Brien Small exponent asymptotics . . . . . . . 23--38 John A. Pelesko and Gregory A. Kriegsmann Microwave heating of ceramic composites 39--50 F. G. Leppington and W. M. Pang Scattering of sound by an infinite membrane fixed on two circular regions 51--72 A. Borrelli and M. C. Patria Spatial energy estimates in dynamical problems for a semi-infinite piezoelectric beam . . . . . . . . . . . 73--93 E. M. E. Zayed On hearing the shape of a bounded domain with Robin boundary conditions . . . . . 95--108
Weiyi Zhang and Koncay Huseyin An algebraic approach for obtaining nilpotent normal forms in dimension 4 109--123 Harold Levine A general solution for an unsteady linear diffusion problem . . . . . . . . 125--137 I. D. King and T. E. Hodgetts An approximate treatment of scattering based on the delta boundary operator technique . . . . . . . . . . . . . . . 139--155 J. H. Merkin and H. Sevciková and D. Snita The effect of an electric field on the local stoichiometry of front waves in an ionic chemical system . . . . . . . . . 157--188 E. J. Walker and G. R. Wickham and P. A. Lewis The diffraction of elastic waves by an imperfect fusion bond . . . . . . . . . 189--211
C. Y. Wang Vibration of an infinite membrane supported by an array of posts . . . . . 213--221 Simon Hood On direct, implicit reductions of a nonlinear diffusion equation with an arbitrary function --- generalizations of Clarkson's and Kruskal's method . . . 223--244 Christodoulos Athanasiadis and George Costakis and Ioannis G. Stratis Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment . . . . . . . . . . . . . . 245--258 P. A. Krutitskii A new approach to reduction of the Neumann problem in acoustic scattering to a non-hypersingular integral equation 259--269 Giovambattista Amendola Asymptotic behaviour in a conducting electromagnetic medium . . . . . . . . . 271--282 Carl Fredrik Stein On the existence of conically self-similar free-vortex solutions to the Navier--Stokes equations . . . . . . 283--300
O. V. Motygin and S. A. Nazarov Justification of the Kirchhoff hypotheses and error estimation for two-dimensional models of anisotropic and inhomogeneous plates, including laminated plates . . . . . . . . . . . . 1--28 M. A. El-Gebeily and K. M. Furati On the completeness of the set of eigenvectors of a certain class of self-adjoint finite difference operators 29--43 Barbara Lazzari and Roberta Nibbi Variational principles in electromagnetism . . . . . . . . . . . . 45--95 A. H. Khater and D. K. Callebaut and O. H. El-Kalaawy Bäcklund transformations and exact solutions for a nonlinear elliptic equation modelling isothermal magnetostatic atmosphere . . . . . . . . 97--108
Wei-Jiu Liu and Miroslav Krsti\'c Strong stabilization of the system of linear elasticity by a Dirichlet boundary feedback . . . . . . . . . . . 109--121 J. L. W. Gielen The general packed column: an analytical solution . . . . . . . . . . . . . . . . 123--146 A. D. Fitt and T. R. B. Lattimer On the unsteady motion of two-dimensional sails . . . . . . . . . 147--171 Ravi P. Agarwal and Donal O'Regan Singular initial and boundary value problems with sign changing nonlinearities . . . . . . . . . . . . . 173--198 Dinh Nho H\`ao and D. Lesnic The Cauchy problem for Laplace's equation via the conjugate gradient method . . . . . . . . . . . . . . . . . 199--217
K. A. Abell and A. R. Humphries and E. S. Van Vleck Mosaic solutions and entropy for spatially discrete Cahn--Hilliard equations . . . . . . . . . . . . . . . 219--255 I. David Abrahams The application of Padé approximants to Wiener--Hopf factorization . . . . . . . 257--281 John Billingham Steady-state solutions for strongly exothermic ignition in symmetric geometries . . . . . . . . . . . . . . . 283--313 M. S. Howe Pressure transients generated when high-speed trains pass in a tunnel . . . 315--334
G. A. Kriegsmann Pattern formation in microwave heated ceramics: cylinders and slabs . . . . . 1--32 R. Cade An integral equation approach to electromagnetic diffraction by a cylinder . . . . . . . . . . . . . . . . 33--54 H. A. R. Williams and O. E. Jensen Two-dimensional nonlinear advection-diffusion in a model of surfactant spreading on a thin liquid film . . . . . . . . . . . . . . . . . . 55--82 Xavier Antoine Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method 83--110
C. Muriel and J. L. Romero New methods of reduction for ordinary differential equations . . . . . . . . . 111--125 M. I. Gerritsma and T. N. Phillips On the use of characteristic variables in viscoelastic flow problems . . . . . 127--147 A. Sellier A slender dielectric body embedded in an arbitrary external potential . . . . . . 149--173 S. I. Barry and M. Holmes Asymptotic behaviour of thin poroelastic layers . . . . . . . . . . . . . . . . . 175--194 Weifu Fang and Kazufumi Ito An electrochemistry model with nonlinear diffusion: steady-state solutions . . . 195--213
Igor Chudinovich and Christian Constanda The transmission problem in bending of plates with transverse shear deformation 215--229 A. S. Bonnet-Bendhia and G. Caloz and M. Dauge and F. Mahé Study at high frequencies of a stratified waveguide . . . . . . . . . . 231--257 C. Y. Wang Flow in a circular tube with a centred strip . . . . . . . . . . . . . . . . . 259--267 Jaime E. Muñoz Rivera and Reinhard Racke Polynomial stability in two-dimensional magneto-elasticity . . . . . . . . . . . 269--283 James M. Hill and Anna M. Milan On a non-symmetrical plane strain deformation for hyperelastic materials 285--291 P. Fernandes and I. Perugia Vector potential formulation for magnetostatics and modelling of permanent magnets . . . . . . . . . . . 293--318
Marianna A. Shubov Asymptotic analysis of aircraft wing model in subsonic air flow . . . . . . . 319--356 Aleksey V. Pichugin and Graham A. Rogerson A two-dimensional model for extensional motion of a pre-stressed incompressible elastic layer near cut-off frequencies 357--385 J. E. Kidd and I. W. Stewart and C. Constanda Freedericksz transitions in circular toroidal layers of smectic C liquid crystals . . . . . . . . . . . . . . . . 387--409 D. S. Jones Impedance of a lossy wedge . . . . . . . 411--422
J. Dunwoody Harmonic waves in heat conducting bars: a comparison of constrained and unconstrained thermoelasticity . . . . . 423--447 A. A. Lacey and C. Nikolopoulos A model for polymer melting during modulated-temperature differential scanning calorimetry . . . . . . . . . . 449--476 C. Muriel and J. L. Romero C-symmetries and non-solvable symmetry algebras . . . . . . . . . . . . . . . . 477--498 Eveline Baesu and Eugen Soós Antiplane fracture in a prestressed and prepolarized piezoelectric crystal . . . 499--508 R. Eddie Wilson An analysis of Gipps's car-following model of highway traffic . . . . . . . . 509--537
C. Athanasiadis and P. A. Martin and I. G. Stratis On spherical-wave scattering by a spherical scatterer and related near-field inverse problems . . . . . . 539--549 L. M. Brock and H. G. Georgiadis An illustration of sliding contact at any constant speed on highly elastic half-spaces . . . . . . . . . . . . . . 551--566 Mustapha El Jarroudi and Alain Brillard Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibres . . . 567--590 Y. A. Antipov Solution by quadratures of the problem of a cylindrical crack by the method of matrix factorization . . . . . . . . . . 591--619 Ravi P. Agarwal and Donal O'Regan Singular problems on the infinite interval modelling phenomena in draining flows . . . . . . . . . . . . . . . . . 621--635
Carlos J. S. Alves and Rainer Kress On the far-field operator in elastic obstacle scattering . . . . . . . . . . 1--21 L. J. Alvarez-Vázquez and A. Martínez and C. Rodríguez and M. E. Vázquez-Méndez Mathematical analysis of the optimal location of wastewater outfalls . . . . 23--39 Penny J. Davies and Fiona J. Carter and Alfred Cuschieri Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue . . . . . . . . 41--67 Arturo De Pablo and Fernando Quirós and Julio D. Rossi Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition . . . . . . 69--98
V. R. Ferguson and P. G. Daniels Convection patterns near a lateral boundary . . . . . . . . . . . . . . . . 99--125 Peter Hähner On uniqueness for an inverse problem in inhomogeneous elasticity . . . . . . . . 127--143 B. Liu and T. R. Marchant The microwave heating of three-dimensional blocks: semi-analytical solutions . . . . . . . 145--175 Michael J. Ward Thermal runaway and microwave heating in thin cylindrical domains . . . . . . . . 177--200 B. P. Marchant and John Norbury Discontinuous travelling wave solutions for certain hyperbolic systems . . . . . 201--224
Qi-Cong Ling and Cong-Qiang Liu and Zheng-Yu Bao and Fanglin Li Analytical solutions for ore fluid transport in fractured rocks: a case study on ore-forming processes of the stratabound skarn copper deposits in China . . . . . . . . . . . . . . . . . 225--247 Adriana C. Briozzo and Domingo A. Tarzia An explicit solution for an instantaneous two-phase Stefan problem with nonlinear thermal coefficients . . 249--261 Igor Goldfarb and Vladimir Gol'dshtein and Ann Zinoviev Delayed thermal explosion in porous media: method of invariant manifolds . . 263--280 P. K. Palamides Boundary-value problems for shallow elastic membrane caps . . . . . . . . . 281--299 José L. López and Chelo Ferreira Asymptotic expansions of the generalized Epstein--Hubbell integral . . . . . . . 301--319
Mongi Mabrouk and Zouheir Helali Asymptotic profiles and asymptotic distributions of energy in elastic waves scattering . . . . . . . . . . . . . . . 321--356 Gen-Qi Xu and De-Xing Feng The Riesz basis property of a Timoshenko beam with boundary feedback and application . . . . . . . . . . . . . . 357--370 Y. Villacampa and A. Balaguer A priori estimates of the solution for the Dirichlet problem . . . . . . . . . 371--382 J. D. Kaplunov and E. V. Nolde and G. A. Rogerson Short wave motion in a pre-stressed incompressible elastic plate . . . . . . 383--399 Eduard Kostolanský On the duration of the total eclipse of a satellite of a body . . . . . . . . . 401--410 L. Delle Site A partial differential equation which describes an interatomic surface . . . . 411--417
Gema A. Mercado and Benjamin P. Luce and Jack Xin Modelling thermal front dynamics in microwave heating . . . . . . . . . . . 419--439 Robert Shorten and Fiacre Ó Cairbre A new methodology for the stability analysis of pairwise triangularizable and related switching systems . . . . . 441--457 P. J. McKenna and K. S. Moore The global structure of periodic solutions to a suspension bridge mechanical model . . . . . . . . . . . . 459--478 Nathalie Bartoli and Abderrahmane Bendali Robust and high-order effective boundary conditions for perfectly conducting scatterers coated by a thin dielectric layer . . . . . . . . . . . . . . . . . 479--508
Anonymous Index to Volume 67 . . . . . . . . . . . i--ii Viêt H\`a Ho\`ang and R. V. Craster Wedge solidification with differing types of boundary conditions . . . . . . 509--524 P. Barral and P. Quintela Existence of a solution for a Signorini contact problem for Maxwell-Norton materials . . . . . . . . . . . . . . . 525--549 A. A. Soliman On $ {\O }_0 $-boundedness and $ {\O }_0 $-stability properties with perturbing Liapunov functional . . . . . . . . . . 551--557 A. S. Fokas A new transform method for evolution partial differential equations . . . . . 559--590
G. Lohöfer An electrically conducting sphere in a three-dimensional, alternating magnetic field . . . . . . . . . . . . . . . . . 1--21 Alfredo Marzocchi and Jaime E. Muñoz Rivera and Maria Grazia Naso Transmission problem in thermoelasticity with symmetry . . . . . . . . . . . . . 23--46 R. E. Grundy and A. Kay The asymptotics of blow-up in inviscid Boussinesq flow and related systems . . 47--81 Higidio Portillo Oquendo Viscoelastic boundary stabilization for a transmission problem in elasticity . . 83--97 Michael Mederer Transient solutions of Markov processes and generalized continued fractions . . 99--118
Sun-Chul Kim and Hisashi Okamoto Bifurcations and inviscid limit of rhombic Navier--Stokes flows in tori . . 119--134 Azmy S. Ackleh and Keng Deng and Wei Li Solvability of a non-local hyperbolic model arising from a reliability system 135--148 T. L. Van Noorden and S. M. Verduyn Lunel and A. Bliek The efficient computation of periodic states of cyclically operated chemical processes . . . . . . . . . . . . . . . 149--166 Jérémie Szeftel Absorbing boundary conditions for reaction-diffusion equations . . . . . . 167--184 Ivan Hlavá\vcek Buckling of a Timoshenko beam on elastic foundation with uncertain input data . . 185--204 Csaba H\Hos and Alan Champneys and László Kullmann Bifurcation analysis of surge and rotating stall in the Moore--Greitzer compression system . . . . . . . . . . . 205--228
O. V. Motygin and P. McIver A uniqueness criterion for linear problems of wave-body interaction . . . 229--250 B. P. Allahverdiev Extensions, dilations and functional models of discrete Dirac operators in limit point-circle cases . . . . . . . . 251--267 Björn Gustafsson and Jacqueline Mossino Non-periodic explicit homogenization and reduction of dimension: the linear case 269--298 Y. A. Antipov and P. Schiavone On the uniformity of stresses inside an inhomogeneity of arbitrary shape . . . . 299--311 Joanna Goard Iterating the classical symmetries method to solve initial value problems 313--328
L. H. Yu Fundamental frequency of a doubly connected membrane: a modified perturbation method . . . . . . . . . . 329--354 A. S. Fokas and A. A. Kapaev On a transform method for the Laplace equation in a polygon . . . . . . . . . 355--408 Peixuan Weng and Huaxiong Huang and Jianhong Wu Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction . . . . 409--439
Takeshi Sugimoto A theoretical analysis of formation flight as a nonlinear self-organizing phenomenon . . . . . . . . . . . . . . . 441--470 Mohamed A. El-Gebeily Regular approximation of singular self-adjoint differential operators . . 471--489 R. Quintanilla On existence and stability in the theory of swelling porous elastic soils . . . . 491--506 Igor Chudinovich and Christian Constanda Time-dependent boundary integral equations for multiply connected plates 507--522 R. S. Ibrahim Truncated Painlevé; expansion and reduction of sine-Poisson equation to a quadrature in collisionless cold plasma 523--535 Peter L. Simon and Serafim Kalliadasis and John H. Merkin and Stephen K. Scott Inhibition of flame propagation by an endothermic reaction . . . . . . . . . . 537--562
Mithat Idemen and Ali Alkumru On a class of functional equations of the Wiener--Hopf type and their applications in $n$-part scattering problems . . . . . . . . . . . . . . . . 563--586 A. Adawi and A. Alawneh A Parseval-type theorem applied to certain integral transforms on generalized functions . . . . . . . . . 587--593 M. Louaked and L. Hanich and C. P. Thompson Well-posedness of incompressible models of two- and three-phase flow . . . . . . 595--620 Roland Potthast and Ioannis G. Stratis On the domain derivative for scattering by impenetrable obstacles in chiral media . . . . . . . . . . . . . . . . . 621--635 C. Y. Chen and H. M. Byrne and J. R. King Mathematical modelling of the oxidation of nickel titanium alloys . . . . . . . 637--664 D. Mackey and E. A. Cox Dynamics of a two-layer fluid sloshing problem . . . . . . . . . . . . . . . . 665--686
M. Hintermüller and V. A. Kovtunenko and K. Kunisch The primal-dual active set method for a crack problem with non-penetration . . . 1--26 Y. A. Antipov and V. V. Silvestrov Vector functional-difference equation in electromagnetic scattering . . . . . . . 27--69 Victoriano Carmona and Emilio Freire and Enrique Ponce and Francisco Torres Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems . . . . . . . . . . . . . . . . 71--91 Mohammed Aassila Stability and asymptotic behaviour of solutions of the heat equation . . . . . 93--109
Jonathan T. Rowell Coexistence, permanence and resilience in biological reaction-diffusion systems 111--129 Hui-Hui Dai and De-Xing Kong Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws 131--158 J. Rokne and B. M. Singh and R. S. Dhaliwal and J. Vrbik The Reissner--Sagoci type problem for a non-homogeneous elastic cylinder embedded in an elastic non-homogeneous half-space . . . . . . . . . . . . . . . 159--173 Peter L. Simon and Serafim Kalliadasis and John H. Merkin and Stephen K. Scott Stability of flames in an exothermic-endothermic system . . . . . 175--203 P. G. Chamberlain The effect of evanescent wave modes on scattering and near-trapping . . . . . . 205--218
C. Wafo Soh and Ebrahim Momoniat A Lie group investigation of exact weakly nonlinear quasi-planar sound waves . . . . . . . . . . . . . . . . . 219--232 Daniel Kessler and Jean-François Scheid and Giulio Schimperna and Ulisse Stefanelli Study of a system for the isothermal separation of components in a binary alloy with change of phase . . . . . . . 233--257 S. Tooley and J.-M. Vanden-Broeck Capillary waves past a flat plate in water of finite depth . . . . . . . . . 259--269 Oliver Mason and Robert Shorten On common quadratic Lyapunov functions for stable discrete-time LTI systems . . 271--283 J. M. L. Bernard and M. A. Lyalinov Electromagnetic scattering by a smooth convex impedance cone . . . . . . . . . 285--333
Viatcheslav Bykov and Igor Goldfarb and Vladimir Gol'dshtein On the integral manifold approach to a flame propagation problem: pressure-driven flames in porous media 335--352 Igor Goldfarb and Vladimir Gol'dshtein and Ulrich Maas Comparative analysis of two asymptotic approaches based on integral manifolds 353--374 J. Adler and D. M. Herbert Smouldering front shapes for steady propagation in a stratified medium . . . 375--390 S. Baskar and Phoolan Prasad Riemann problem for kinematical conservation laws and geometrical features of nonlinear wavefronts . . . . 391--419 Jianzhong Su and Bao Loc Tran Axisymmetric three-dimensional finger solutions in Mullins--Sekerka equation 421--435
Nigel Scott Editorial . . . . . . . . . . . . . . . 1--2 M. Destrade On interface waves in misoriented pre-stressed incompressible elastic solids . . . . . . . . . . . . . . . . . 3--14 Alp Eden and Saadet Erbay On travelling wave solutions of a generalized Davey--Stewartson system . . 15--24 H. A. Erbay and V. H. Tüzel Dynamic extension of a compressible nonlinearly elastic membrane tube . . . 25--38 Eduard-Marius Craciun and Eveline Baesu and Eugen Soós General solution in terms of complex potentials for incremental antiplane states in prestressed and prepolarized piezoelectric crystals: application to Mode III fracture propagation . . . . . 39--52 M. Aron Combined axial shearing, extension, and straightening of elastic annular cylindrical sectors . . . . . . . . . . 53--63 J. Dunwoody On a class of controllable deformations of isotropic incompressible elastic solids with simple material inhomogeneity . . . . . . . . . . . . . 64--79 Cornelius O. Horgan and Jeremiah G. Murphy Lie group analysis and plane strain bending of cylindrical sectors for compressible nonlinearly elastic materials . . . . . . . . . . . . . . . 80--91 Scott W. McCue and I. Kenneth Johnpillai and James M. Hill New stress and velocity fields for highly frictional granular materials . . 92--118 C. O. Horgan and R. Quintanilla Spatial decay of transient end effects for nonstandard linear diffusion problems . . . . . . . . . . . . . . . . 119--128 Sergei A. Ivanov and Chi-Sing Man and Gen Nakamura Recovery of residual stress in a vertically heterogeneous elastic medium 129--146 M. Sanjarani Pour A WKB analysis of the buckling condition for a cylindrical shell of arbitrary thickness subjected to an external pressure . . . . . . . . . . . . . . . . 147--161 M. Khurram Wadee Stability of localized solutions under rigid loading in a heuristic buckling model . . . . . . . . . . . . . . . . . 162--172 Thomas J. Pence and Hungyu Tsai Swelling-induced microchannel formation in nonlinear elasticity . . . . . . . . 173--189
Yanbin Tang and Li Zhou Great time delay in a system with material cycling and delayed biomass growth . . . . . . . . . . . . . . . . . 191--200 A. Selsil and N. V. Movchan and A. B. Movchan and S. T. Kolaczkowski and S. Awdry Mathematical modelling of heat transfer in a catalytic reformer . . . . . . . . 201--220 Hua Chen and Xin-Hua Zhong Global existence and blow-up for the solutions to nonlinear parabolic--elliptic system modelling chemotaxis . . . . . . . . . . . . . . . 221--240 Wen-Ming He and Jun-Zhi Cui A pointwise estimate on the $1$-order approximation of $ G^\epsilon_{x_0}$ . . 241--269 Giovambattista Amendola On the asymptotic behaviour for an electromagnetic system with a dissipative boundary condition . . . . . 270--292 S. K. Wilson and B. R. Duffy A rivulet of perfectly wetting fluid draining steadily down a slowly varying substrate . . . . . . . . . . . . . . . 293--322 Liviu Marin and Daniel Lesnic Boundary element-Landweber method for the Cauchy problem in linear elasticity 323--340 B. M. Singh and J. Rokne and R. S. Dhaliwal Closed-form solutions for a rectangular layer with central crack under anti-plane shear stress . . . . . . . . 341--352
Michael Renardy A comment on self-similar breakup for inertialess Newtonian liquid jets . . . 353--358 Warren R. Smith On the sensitivity of strongly nonlinear autonomous oscillators and oscillatory waves to small perturbations . . . . . . 359--385 Dirk Horstmann On some cross-diffusion models in population dynamics and their connections to well-posed filters in signal enhancement processes . . . . . . 386--399 M. S. Howe On the role of separation in compression wave generation by a train entering a tunnel hood with a window . . . . . . . 400--418 Miguel Lobo and Serguei A. Nazarov and Eugenia Perez Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues . . . . . . . . . . . . . . 419--458 Jun-Min Wang and Gen-Qi Xu and Siu-Pang Yung Riesz basis property, exponential stability of variable coefficient Euler--Bernoulli beams with indefinite damping . . . . . . . . . . . . . . . . 459--477
Jing Hui and Lansun Chen Periodicity in an impulsive logistic equation with a distributed delay . . . 479--487 W. D. Collins Synchronous running of voltage-fed miniature single-stator permanent magnet motors . . . . . . . . . . . . . . . . . 488--508 Yuming Qin Exponential stability and maximal attractors for a one-dimensional nonlinear thermoviscoelasticity . . . . 509--526 J. H. Merkin and H. Sevcíková The effects of a complexing agent on travelling waves in autocatalytic systems with applied electric fields . . 527--549 Giuseppe Saccomandi Some generalized pseudo-plane deformations for the neo-Hookean material . . . . . . . . . . . . . . . . 550--563 A. S. Fokas and B. Pelloni A transform method for linear evolution PDEs on a finite interval . . . . . . . 564--587 M. G. Blyth and J.-M. Vanden-Broeck New solutions for capillary waves on curved sheets of fluid . . . . . . . . . 588--601
Alan J. Fenwick and Marian Wiercigroch and Alan R. Champneys Foreword . . . . . . . . . . . . . . . . 603--604 N. Ramakrishnan and N. Sri Namachchivaya Random perturbations of $ 1 \colon 1$-resonant systems with SO(2) symmetry 605--625 B. Barkow and A. Steindl and H. Troger A targeting strategy for the deployment of a tethered satellite system . . . . . 626--644 M. P. Cartmell and F. C. N. Lim and A. Cardoni and M. Lucas Optimisation of the vibrational response of ultrasonic cutting systems . . . . . 645--656 Ryota Kobayashi and Youichi Miyazaki and Shigeru Shinomoto Faithful and unfaithful students in time series learning . . . . . . . . . . . . 657--665 T. Mullin and Y. Li and C. Del Pino and J. Ashmore An experimental study of fixed points and chaos in the motion of spheres in a Stokes flow . . . . . . . . . . . . . . 666--676
P. G. Daniels and V. R. Ferguson Wavelength selection in convection near a lateral boundary . . . . . . . . . . . 677--699 Fumioki Asakura and Mitsuru Yamazaki Geometry of Hugoniot curves in $ 2 \times 2 $ systems of hyperbolic conservation laws with quadratic flux functions . . . . . . . . . . . . . . . 700--722 M. E. Hubbard and J. A. Leach and J. C. Wei Pattern formation in a $2$D simple chemical system with general orders of autocatalysis and decay . . . . . . . . 723--747 H. P. W. Gottlieb Transformations between isospectral membranes yield conformal maps . . . . . 748--752 E. M. Elabbasy and S. H. Saker Periodic solutions and oscillation of discrete non-linear delay population dynamics model with external force . . . 753--767 K. T. Andrews and J. R. Fernández and M. Shillor Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod . . . . . . . . . . . . . . . . 768--795 T. R. Marchant and N. F. Smyth Approximate solutions for magmon propagation from a reservoir . . . . . . 796--813 R. E. Grundy The application of Hermite interpolation to the analysis of non-linear diffusive initial-boundary value problems . . . . 814--838 Tilo Arens and Thorsten Hohage On radiation conditions for rough surface scattering problems . . . . . . 839--847 Wujun Sun and Hongmin Chen and Donghua Cui Non-linear functional boundary value problem for discontinuous functional differential equations . . . . . . . . . 848--857 J. F. M. Al-Omari and S. A. Gourley Monotone wave-fronts in a structured population model with distributed maturation delay . . . . . . . . . . . . 858--879 Yulii D. Shikhmurzaev Capillary breakup of liquid threads: a singularity-free solution . . . . . . . 880--907 N. R. T. Biggs and D. Porter Wave scattering by an array of periodic barriers . . . . . . . . . . . . . . . . 908--936 J. Dunwoody On a class of controllable deformations of isotropic incompressible elastic solids with simple material inhomogeneity: II . . . . . . . . . . . 937--953
Teodor M. Atanackovic and Ljubica Oparnica and Stevan Pilipovic On a model of viscoelastic rod in unilateral contact with a rigid wall . . 1--13 Hui-Hui Dai and De-Xing Kong Global structure stability of impact-induced tensile waves in a rubber-like material . . . . . . . . . . 14--33 Gaetano Napoli On smectic-A liquid crystals in an electrostatic field . . . . . . . . . . 34--46 Bin Liu and Xinzhi Liu and Kok Lay Teo and Qing Wang Razumikhin-type theorems on exponential stability of impulsive delay systems . . 47--61 Nati Calvo and José Durany and Ana I. Muñoz and Emanuele Schiavi and Carlos Vázquez A coupled multivalued model for ice streams and its numerical simulation . . 62--91 David E. Stewart Convolution complementarity problems with application to impact problems . . 92--119 D. H. Smith Non-uniqueness and multi-shock solutions for transonic nozzle flows . . . . . . . 120--132 Ciprian D. Coman Inhomogeneities and localised buckling patterns . . . . . . . . . . . . . . . . 133--152 M. G. Blyth and C. Pozrikidis A Lobatto interpolation grid over the triangle . . . . . . . . . . . . . . . . 153--169
J. D. Kaplunov and A. V. Pichugin and G. A. Rogerson On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate . . . . . . . . . . . . . . . . . 171--185 A. A. Lacey and C. V. Nikolopoulos A $1$D model for polymer melting during modulated temperature differential scanning calorimetry . . . . . . . . . . 186--209 Erik Hillgarter A contribution to the symmetry classification problem for second-order PDEs in $ z(x, y) $ . . . . . . . . . . 210--231 Guanggan Chen and Jian Zhang Sharp threshold of global existence for non-linear Gross--Pitaevskii equation in $N$ . . . . . . . . . . . . . . . . . . 232--240 Peter Berg and Atife Caglar and Keith Promislow and Jean St-Pierre and Brian Wetton Electrical coupling in proton exchange membrane fuel cell stacks: mathematical and computational modelling . . . . . . 241--261 Tomas Johansson An iterative method for a Cauchy problem for the heat equation . . . . . . . . . 262--286 Shufang Xu and Mingsong Cheng On the solvability for the mixed-type Lyapunov equation . . . . . . . . . . . 287--294 Giovanni Cimatti A note on existence, uniqueness and continuous dependence for a non-linear heat conduction problem . . . . . . . . 295--297 H. Luo and C. Pozrikidis A Lobatto interpolation grid in the tetrahedron . . . . . . . . . . . . . . 298--313
Angelina M. Bijura Initial-layer theory and model equations of Volterra type . . . . . . . . . . . . 315--331 Kostas P. Soldatos On the stability of a compressible Rivlin's cube made of transversely isotropic material . . . . . . . . . . . 332--353 Harold Levine A classical diffusion problem . . . . . 354--358 Viatcheslav Bykov and Igor Goldfarb and Vladimir Gol'dshtein and Ulrich Maas On a modified version of ILDM approach: asymptotic analysis based on integral manifolds . . . . . . . . . . . . . . . 359--382 H. M. Youssef Theory of two-temperature-generalized thermoelasticity . . . . . . . . . . . . 383--390 Roman Cherniha and John R. King Lie symmetries and conservation laws of non-linear multidimensional reaction--diffusion systems with variable diffusivities . . . . . . . . . 391--408 Valeriy Salnikov and Nigel Scott Asymptotic and numerical analysis of thermoelastic waves in an isotropic plate . . . . . . . . . . . . . . . . . 409--433 Y. B. Fu and D. W. Brookes An explicit expression for the surface-impedance tensor of a compressible monoclinic material in a state of plane strain . . . . . . . . . 434--445 D. J. Needham On the formation of acceleration and reaction--diffusion wavefronts in autocatalytic-type reaction--diffusion systems . . . . . . . . . . . . . . . . 446--458 Tilman Irmscher and Reinhard Racke Sharp decay rates in parabolic and hyperbolic thermoelasticity . . . . . . 459--478
Dietmar Hömberg and Alexander Khludnev A thermoelastic contact problem with a phase transition . . . . . . . . . . . . 479--495 Shangjiang Guo and Lihong Huang Non-linear waves in a ring of neurons 496--518 Peter L. Simon Classification of positive convex functions according to focal equivalence 519--533 A. Chakrabarti Solution of certain weakly singular integral equations . . . . . . . . . . . 534--543 Sittipong Ruktamatakul and Jonathan Bell and Yongwimon Lenbury Wave-front solution behaviour for continuous neural networks with lateral inhibition . . . . . . . . . . . . . . . 544--564 Jun-Min Wang and Bao-Zhu Guo On the stability of swelling porous elastic soils with fluid saturation by one internal damping . . . . . . . . . . 565--582 H. P. W. Gottlieb Radially isospectral annular membranes 583--589 L. E. Payne and J. C. Song On a proposed model for heat conduction 590--599 Juan Carlos Muñoz Grajales and André Nachbin Improved Boussinesq-type equations for highly variable depth . . . . . . . . . 600--633
V. A. Kovtunenko Primal--dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration . . . . . . . 635--657 Zhenhua Guo and Song Jiang Self-similar solutions to the isothermal compressible Navier--Stokes equations 658--669 Cameron MacKay and Sean McKee and Anthony J. Mulholland Diffusion and convection of gaseous and fine particulate from a chimney . . . . 670--691 Q. BuAli and L. E. Johns and R. Narayanan Geometric effects on surface roughness in electrodeposition . . . . . . . . . . 692--714 Tetyana M. Segin and Lou Kondic and Burt S. Tilley Long-wave linear stability theory for two-fluid channel flow including compressibility effects . . . . . . . . 715--739 S. P. Decent Hydrodynamic assist and the dynamic contact angle in the coalescence of liquid drops . . . . . . . . . . . . . . 740--767 J. Kaplunov and A. Zakharov and D. Prikazchikov Explicit models for elastic and piezoelastic surface waves . . . . . . . 768--782 L. J. Sudak and X. Wang Green's function in plane anisotropic bimaterials with imperfect interface . . 783--794
Ronald Smith Three-point scheme and two-point boundary formulations for unsteady diffusion with flow . . . . . . . . . . 795--810 Rupanwita Gayen and B. N. Mandal and A. Chakrabarti Water wave scattering by two sharp discontinuities in the surface boundary conditions . . . . . . . . . . . . . . . 811--831 Dario Fasino and Gabriele Inglese Recovering unknown terms in a nonlinear boundary condition for Laplace's equation . . . . . . . . . . . . . . . . 832--852 Mario Durán and Ignacio Muga and Jean-Claude Nédélec The Helmholtz equation in a locally perturbed half-plane with passive boundary . . . . . . . . . . . . . . . . 853--876 Roger D. Donaldson and Brian R. Wetton Solving steady interface problems using residual velocities . . . . . . . . . . 877--897 D. Volkov and G. A. Kriegsmann Scattering by a perfect conductor in a waveguide: energy-preserving schemes for integral equations . . . . . . . . . . . 898--923 Victor S. Ryaben'kii and Sergei V. Utyuzhnikov Active shielding model for hyperbolic equations . . . . . . . . . . . . . . . 924--939 F. G. Leppington and E. G. Broadbent and G. F. Butler Transmission of sound through a pair of rectangular elastic plates . . . . . . . 940--955
A. T. Fromhold Space-charge effects on current transport in media having cylindrical and spherical symmetries . . . . . . . . 1--8 Mihaela Blanariu and Brian J. Spencer Weakly non-linear bifurcation analysis of pattern formation in strained alloy film growth . . . . . . . . . . . . . . 9--35 Ji Shu and Jian Zhang Sharp conditions of global existence for the generalized Davey--Stewartson system 36--42 S. J. Chapman The Kelly criterion for spread bets . . 43--51 P. G. Chamberlain Water wave scattering by finite arrays of circular structures . . . . . . . . . 52--66 Weimin Han and Ge Wang Theoretical and numerical analysis on multispectral bioluminescence tomography 67--85 Nabil T. M. Eldabe and M. F. El-Sabbagh and M. A.-S. El-Sayed (Hajjaj) Hydromagnetic stability of plane Couette flow of an upper convected Maxwell fluid 86--95 Tomas Johansson and Brian D. Sleeman Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern . . . . 96--112
Yi Li and Chunshan Zhao On the shape of least-energy solutions for a class of quasilinear elliptic Neumann problems . . . . . . . . . . . . 113--139 K. Kang and T. Kolokolnikov and M. J. Ward The stability and dynamics of a spike in the $1$D Keller--Segel model . . . . . . 140--162 Warren R. Smith Explicit modulation equations, Reynolds averaging and the closure problem for the Korteweg--de Vries--Burgers equation 163--179 V. I. Fabrikant Utilization of divergent integrals and a new symbolism in contact and crack analysis . . . . . . . . . . . . . . . . 180--190 C. Muriel and J. L. Romero $ {\cal C}^\infty $-symmetries and nonlocal symmetries of exponential type 191--205 S. M. Hoseini and T. R. Marchant Solitary wave interaction for a higher-order nonlinear Schrödinger equation . . . . . . . . . . . . . . . . 206--222 W. J. Parnell Effective wave propagation in a prestressed nonlinear elastic composite bar . . . . . . . . . . . . . . . . . . 223--244
Gerhard Kirchner A systematic derivation of Green's and Poisson's matrices for boundary-value problems in elastostatic half-spaces . . 245--270 C. Y. Wang Stagnation flow on a cylinder with partial slip---an exact solution of the Navier--Stokes equations . . . . . . . . 271--277 Darren Crowdy and Jonathan Marshall Green's functions for Laplace's equation in multiply connected domains . . . . . 278--301 A. A. Shah and Gwang-Soo Kim and K. Promislow Mathematical modelling of the catalyst layer of a polymer electrolyte fuel cell 302--330 Hua Chen and Shaohua Wu On existence of solutions for some hyperbolic--parabolic-type chemotaxis systems . . . . . . . . . . . . . . . . 331--347 E. Nolde Qualitative analysis of initial-value problems for a thin elastic strip . . . 348--375 Jane B. Lawrie On eigenfunction expansions associated with wave propagation along ducts with wave-bearing boundaries . . . . . . . . 376--394
Sam Clarke and Peter Grindrod A Bayesian estimation of unfolded pitchfork bifurcation structure based upon experimental data . . . . . . . . . 395--404 M. L. Bondar and R. M. M. Mattheij and J. H. M. ten Thije Boonkkamp Investigation of Bunsen flame dynamics by the method of characteristics . . . . 405--419 Geertje Hek and Vivi Rottschäfer Semiconductor laser with filtered optical feedback: from optical injection to conventional feedback . . . . . . . . 420--450 A. Ishak and R. Nazar and I. Pop Dual solutions in mixed convection boundary-layer flow with suction or injection . . . . . . . . . . . . . . . 451--463 Jiaqing Pan The approximating behavior on nonlinearities of solutions of a degenerate parabolic equation . . . . . 464--475 I. Thompson and C. M. Linton On the excitation of a closely spaced array by a line source . . . . . . . . . 476--497 Gianni Gilardi and Elisabetta Rocca Well-posedness and long-time behaviour for a singular phase field system of conserved type . . . . . . . . . . . . . 498--530
Ramon Quintanilla and Giuseppe Saccomandi Editorial . . . . . . . . . . . . . . . 531 Michael Hayes Foreword: Robin Knops . . . . . . . . . 532--539 J. N. Flavin and S. Rionero Cross-diffusion influence on the non-linear $ L^2 $-stability analysis for a Lotka--Volterra reaction--diffusion system of PDEs . . . 540--555 Cornelius O. Horgan On the torsion of functionally graded anisotropic linearly elastic bars . . . 556--562 L. E. Payne A bound for the optimal constant in an inequality of Ladyzhenskaya and Solonnikov . . . . . . . . . . . . . . . 563--569 Piero Villaggio A mathematical theory of climbing . . . 570--576 PH. Boulanger and M. Hayes Bounds on the extensional strains in elastic homogeneous crystals under simple tension . . . . . . . . . . . . . 577--596 N. I. Kavallaris and A. A. Lacey and C. V. Nikolopoulos and C. Voong Behaviour of a non-local equation modelling linear friction welding . . . 597--616 A. J. M. Spencer A class of exact solutions for periodically inhomogeneous thermoelastic solids . . . . . . . . . . . . . . . . . 617--634 A. A. Hill and S. Rionero and B. Straughan Global stability for penetrative convection with throughflow in a porous material . . . . . . . . . . . . . . . . 635--643 Alexander Mielke A model for temperature-induced phase transformations in finite-strain elasticity . . . . . . . . . . . . . . . 644--658 C. A. Stuart Existence and stability of TE modes in a stratified non-linear dielectric . . . . 659--679
Y. A. Antipov and V. V. Silvestrov Method of integral equations for systems of difference equations in diffraction theory . . . . . . . . . . . . . . . . . 681--705 Daniele Bartolucci and Angela Pistoia Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation . . . . . . . . . 706--729 D. J. Steigmann and R. W. Ogden Surface waves supported by thin-film/substrate interactions . . . . 730--747 B. Tomas Johansson and Daniel Lesnic A variational method for identifying a spacewise-dependent heat source . . . . 748--760 Jo-Anne L. John and Sharon O. Stephen The stability of the boundary layer on a compliant rotating disc . . . . . . . . 761--784 Fariel Shafee Lambert function and a new non-extensive form of entropy . . . . . . . . . . . . 785--800 Darko Volkov and Roger Lui Spreading speed and travelling wave solutions of a partially sedentary population . . . . . . . . . . . . . . . 801--816 Hongyu Liu and Jun Zou Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering . . . . . . . . . . . . . . . 817--831 Demetrios T. Papageorgiou and J.-M. Vanden-Broeck Numerical and analytical studies of non-linear gravity--capillary waves in fluid layers under normal electric fields . . . . . . . . . . . . . . . . . 832--853 L. E. Payne and J. C. Song Spatial decay in a cross-diffusion problem . . . . . . . . . . . . . . . . 854--864 David A. Edwards Steric hindrance effects in thin reaction zones: applications to BIAcore 865--893 Miccal T. Matthews and James M. Hill Micro/nano thermal boundary layer equations with slip--creep--jump boundary conditions . . . . . . . . . . 894--911 Mariya Ptashnyk Pseudoparabolic equations with convection . . . . . . . . . . . . . . . 912--922 Warren R. Smith Modulation equations and Reynolds averaging for finite-amplitude non-linear waves in an incompressible fluid . . . . . . . . . . . . . . . . . 923--945
D. J. Needham and J. Billingham Foreword: Andy King . . . . . . . . . . 1--3 J. Billingham Gravity-driven thin-film flow using a new contact line model . . . . . . . . . 4--36 S. P. Decent and A. C. King Surface-tension-driven flow in a slender cone . . . . . . . . . . . . . . . . . . 37--68 J. A. Fozard and J. R. King Population-scale modelling of cellular chemotaxis and aggregation . . . . . . . 69--106 G. J. Sharpe and S. A. E. G. Falle and J. Billingham Numerical solutions of a model for the propagation of a surface-catalysed flame in a tube . . . . . . . . . . . . . . . 107--122 N. H. Scott Thermoelasticity and generalized thermoelasticity viewed as wave hierarchies . . . . . . . . . . . . . . 123--136 Carina M. Edwards and S. D. Howison and H. Ockendon and J. R. Ockendon Non-classical shallow water flows . . . 137--157 D. J. Needham and J. A. Leach The evolution of travelling wave-fronts in a hyperbolic Fisher model. I. The travelling wave theory . . . . . . . . . 158--198 A. V. Lukyanov and Y. D. Shikhmurzaev and A. C. King A combined BIE-FE method for the Stokes equations . . . . . . . . . . . . . . . 199--224 S. A. E. G. Falle The role of thermal instability in star formation . . . . . . . . . . . . . . . 225--230 L. Mealey and J. H. Merkin Free convection boundary layers on a vertical surface in a heat-generating porous medium . . . . . . . . . . . . . 231--253 B. J. Binder and F. Dias and J.-M. Vanden-Broeck Influence of rapid changes in a channel bottom on free-surface flows . . . . . . 254--273 D. J. Needham and J. Billingham and R. M. S. M. Schulkes and A. C. King The development of slugging in two-layer hydraulic flows . . . . . . . . . . . . 274--322
Donal O'Regan and Mohamed El-Gebeily Existence, upper and lower solutions and quasilinearization for singular differential equations . . . . . . . . . 323--344 J. Adler and D. M. Herbert Transient diffusion-controlled smoulder propagation: a similarity solution approach . . . . . . . . . . . . . . . . 345--360 G. J. Sharpe and V. Gorchkov and M. Short Shock initiation of explosives: the idealized condensed-phase model . . . . 361--373 Mirela Kohr and G. P. Raja Sekhar and John R. Blake Green's function of the Brinkman equation in a $2$D anisotropic case . . 374--392 T. L. van Noorden and I. S. Pop A Stefan problem modelling crystal dissolution and precipitation . . . . . 393--411 Norbert Ortner and Peter Wagner The fundamental matrix of the system of linear elastodynamics in hexagonal media. Solution to the problem of conical refraction . . . . . . . . . . . 412--447
Bernold Fiedler and Andreas Schuppert Local identification of scalar hybrid models with tree structure . . . . . . . 449--476 Peixuan Weng and Jianhong Wu Wavefronts for a non-local reaction--diffusion population model with general distributive maturity . . . 477--495 I. Sedelnikov and A. Averbuch and Y. Shkolnisky The discrete diffraction transform . . . 496--538 M. Bostan Homogenization of the $1$D Vlasov--Maxwell equations . . . . . . . 539--555 Miles Wilson and John R. Blake and Peter M. Haese A potential multipole theory for the hydrodynamics of bubble clouds . . . . . 556--577
Alemdar Hasanov and Arzu Erdem Determination of unknown coefficient in a non-linear elliptic problem related to the elastoplastic torsion of a bar . . . 579--591 Cui-Ping Cheng and Wan-Tong Li and Zhi-Cheng Wang Spreading speeds and travelling waves in a delayed population model with stage structure on a $2$D spatial lattice . . 592--618 W. G. Litvinov Dynamics of electrorheological clutch and a problem for non-linear parabolic equation with non-local boundary conditions . . . . . . . . . . . . . . . 619--640 B. Tomas Johansson A procedure for the reconstruction of a stochastic stationary temperature field 641--650 H. Holmås and T. Sira and M. Nordsveen and H. P. Langtangen and R. Schulkes Analysis of a $1$D incompressible two-fluid model including artificial diffusion . . . . . . . . . . . . . . . 651--667 Christophe Hazard and Eric Lunéville An improved multimodal approach for non-uniform acoustic waveguides . . . . 668--690 F. C. Visser On the method of conformal mapping applied to the flow around thin cylindrically curved aerofoils . . . . . 691--697 J. O. Marston and S. P. Decent and M. J. H. Simmons Experimental evidence of non-unique solutions to a steady non-linear coating flow . . . . . . . . . . . . . . . . . . 698--702
W. D. Collins and R. Brown Synchronous running of shaded-pole permanent magnet motors . . . . . . . . 703--723 Lassaad Elasmi Singularity method for Stokes flow with slip boundary condition . . . . . . . . 724--739 Darren Crowdy Conducting drops subject to electric fields in 2D Stokes flows . . . . . . . 740--758 Jonathan A. Sherratt A comparison of periodic travelling wave generation by Robin and Dirichlet boundary conditions in oscillatory reaction--diffusion equations . . . . . 759--781 Peter Giesl Construction of a local and global Lyapunov function using radial basis functions . . . . . . . . . . . . . . . 782--802 M. G. Blyth and J.-M. Vanden-Broeck Free-surface flow over a trapped bubble 803--814 Mingxin Wang and Peter Y. H. Pang and Wenyan Chen Sharp spatial patterns of the diffusive Holling--Tanner prey--predator model in heterogeneous environment . . . . . . . 815--835
Marco L. Bittencourt and Thais G. Vazquez A nodal spectral stiffness matrix for the finite-element method . . . . . . . 837--849 S. Shen and F. Liu and V. Anh and I. Turner The fundamental solution and numerical solution of the Riesz fractional advection--dispersion equation . . . . . 850--872 P. G. Daniels and D. Ho and A. C. Skeldon Non-linear wavelength selection for pattern-forming systems in channels . . 873--901 D. J. Wollkind and F. J. Alvarado and D. E. Edmeade Non-linear stability analyses of optical pattern formation in an atomic sodium vapour ring cavity . . . . . . . . . . . 902--935 Anthony J. Mulholland and Nishal Ramadas and Richard L. O'Leary and Agnes C. S. Parr and Gordon Hayward and Alexandre Troge and Richard A. Pethrick Enhancing the performance of piezoelectric ultrasound transducers by the use of multiple matching layers . . 936--949 J. Postnova and R. V. Craster Trapped modes in $3$D topographically varying plates . . . . . . . . . . . . . 950--963
Alemdar Hasanov Simultaneous determination of the source terms in a linear hyperbolic problem from the final overdetermination: weak solution approach . . . . . . . . . . . 1--19 Euan Barlow and Anthony J. Mulholland and Anthony Gachagan and Alison Nordon and Kenneth MacPherson Analysis of the Rayleigh--Plesset equation with chirp excitation . . . . . 20--34 José L. López and Ester Pérez Sinusía A singular perturbation problem with discontinuous data in a cuboid . . . . . 35--45 Hai-Qiang Zhang and Bo Tian and Juan Li and Tao Xu and Ya-Xing Zhang Symbolic-computation study of integrable properties for the $ (2 + 1)$-dimensional Gardner equation with the two-singular manifold method . . . . 46--61 B. Tomas Johansson and Vladimir A. Kozlov An alternating method for Cauchy problems for Helmholtz-type operators in non-homogeneous medium . . . . . . . . . 62--73 Wan Chen and Brian Wetton The residual velocity method applied to a steady free boundary-value problem of vector Laplacian type . . . . . . . . . 74--84 Q. Qian and L. Wang Non-linear responses of a one-sided constrained beam with base excitation 85--96 N. Duruk and A. Erkip and H. A. Erbay A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity . . 97--106 Matthias Günther and Georg Prokert On travelling-wave solutions for a moving boundary problem of Hele--Shaw type . . . . . . . . . . . . . . . . . . 107--127 Sergei V. Utyuzhnikov Generalized Calderón--Ryaben'kii's potentials . . . . . . . . . . . . . . . 128--148 N. F. J. van Rensburg and L. Zietsman and A. J. van der Merwe Solvability of a Reissner--Mindlin--Timoshenko plate--beam vibration model . . . . . . 149--162
Ke Chen and Jin Cheng and Paul J. Harris A new study of the Burton and Miller method for the solution of a $3$D Helmholtz problem . . . . . . . . . . . 163--177 Chun-Hsien Li and Suh-Yuh Yang Synchronization in delayed Cohen--Grossberg neural networks with bounded external inputs . . . . . . . . 178--200 Q. Liu and F. Liu and I. Turner and V. Anh Numerical simulation for the $3$D seepage flow with fractional derivatives in porous media . . . . . . . . . . . . 201--229 Senay Pasinlioglu and Can F. Delale and Günter H. Schnerr On the temporal stability of steady-state quasi-$1$D bubbly cavitating nozzle flow solutions . . . . 230--249 Ts. P. Ivanov and R. Savova Thermoviscoelastic surface waves of an assigned frequency . . . . . . . . . . . 250--263 Hongyu Liu On recovering polyhedral scatterers with acoustic far-field measurements . . . . 264--272 Luke G. Bennetts and Nicholas R. T. Biggs and David Porter Wave scattering by an axisymmetric ice floe of varying thickness . . . . . . . 273--295 Henghui Zou Inhomogeneous spatial patterns for predator--prey models: bifurcation at a higher eigenvalue . . . . . . . . . . . 296--323
M. Hintermüller and V. A. Kovtunenko and K. Kunisch A Papkovich--Neuber-based numerical approach to cracks with contact in $3$D 325--343 Salim A. Messaoudi and Belkacem Said-Houari Energy decay in a transmission problem in thermoelasticity of type III . . . . 344--360 A. Halanay and I. Ursu Stability of equilibria of some switched non-linear systems with applications to control synthesis for electrohydraulic servomechanisms . . . . . . . . . . . . 361--373 Qiong Zhang Global solution for a quasi-linear plate system with boundary memory damping . . 374--391 Yanjin Wang Non-existence of global solutions of a class of coupled non-linear Klein--Gordon equations with non-negative potentials and arbitrary initial energy . . . . . . . . . . . . . 392--415 Carmine Trimarco An extended notion of enthalpy. Electromagnetic solids . . . . . . . . . 416--426 George Dassios The Kelvin transformation in potential theory and Stokes flow . . . . . . . . . 427--438 Scott W. McCue and Bisheng Wu and James M. Hill Micro/nanoparticle melting with spherical symmetry and surface tension 439--457 Octave Moutsinga Stability of sticky particle dynamics and related scalar conservation laws . . 458--467 Daomin Cao and Shuangjie Peng and Shusen Yan Asymptotic behaviour of ground state solutions for the Hénon equation . . . . 468--480
Mohamed Jaoua and Juliette Leblond and Moncef Mahjoub and Jonathan R. Partington Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains 481--506 Andrew J. Duncan and Tom G. Mackay and Akhlesh Lakhtakia On the homogenization of orthotropic elastic composites by the strong-property-fluctuation theory . . . 507--532 Dan Kucerovsky and Amir T. Payandeh Najafabadi An approximation for a subclass of the Riemann--Hilbert problems . . . . . . . 533--547 G. R. Thomson and C. Constanda Integral equation methods for the Robin problem in stationary oscillations of elastic plates . . . . . . . . . . . . . 548--558 Zhijun Liu and Jianhua Wu and Ronghua Tan Permanence and extinction of an impulsive delay competitive Lotka--Volterra model with periodic coefficients . . . . . . . . . . . . . . 559--573 Sanling Yuan and Yongli Song Bifurcation and stability analysis for a delayed Leslie--Gower predator--prey system . . . . . . . . . . . . . . . . . 574--603 Kun Li and Xiong Li Travelling wave solutions in diffusive and competition--cooperation systems with delays . . . . . . . . . . . . . . 604--621 J. H. Merkin Travelling waves in the Oregonator model for the BZ reaction . . . . . . . . . . 622--643
P. Zhuang and F. Liu and V. Anh and I. Turner Stability and convergence of an implicit numerical method for the non-linear fractional reaction--subdiffusion process . . . . . . . . . . . . . . . . 645--667 G. Baganis and M. Hadjinicolaou Analytic solution of an exterior Dirichlet problem in a non-convex domain 668--684 W. N. Everitt and B. T. Johansson and L. L. Littlejohn and C. Markett Quasi-separation of the biharmonic partial differential equation . . . . . 685--709 A. Eden and T. B. Gürel and E. Kuz Focusing and defocusing cases of the purely elliptic generalized Davey--Stewartson system . . . . . . . . 710--725 Shubin Wang and Meiling Li The Cauchy problem for coupled IMBq equations . . . . . . . . . . . . . . . 726--740 S. P. Decent Asymptotic solution of slender viscous jet break-up . . . . . . . . . . . . . . 741--781 Stephen M. Cox Voltage and current spectra for a single-phase voltage source inverter . . 782--805
Michael Shearer and Pierre Gremaud and Kristoph Kleiner Periodic motion of a mass--spring system 807--826 Wen-Wei Lin and Chen-Chang Peng and Yi-Qian Wang Chaotic synchronization in lattices of two-variable maps coupled with one variable . . . . . . . . . . . . . . . . 827--850 Yang Xu and Jing-jun Zhao Analysis of delay-dependent stability of linear $ \theta $-methods for linear delay-integro-differential equations . . 851--869 J. A. Leach and D. J. Needham The evolution of travelling wavefronts in a hyperbolic Fisher model. III. The initial-value problem when the initial data has exponential decay rates . . . . 870--903 P. Bouboulis Construction of orthogonal multi-wavelets using generalized-affine fractal interpolation functions . . . . 904--933 P. D'Ambrosio and D. De Tommasi and L. Granieri and F. Maddalena A surface energy approach to the mass reduction problem for elastic bodies . . 934--949 Juan C. Vila Bravo and Jaime E. Muñoz Rivera The transmission problem to thermoelastic plate of hyperbolic type 950--962
M. F. Ben Hassen and K. Erhard and R. Potthast The singular sources method for $3$D inverse acoustic obstacle scattering problems . . . . . . . . . . . . . . . . 1--16 Lina Ji and Changzheng Qu and Yaojun Ye Solutions and symmetry reductions of the $n$-dimensional non-linear convection--diffusion equations . . . . 17--55 William Layton and Leo Rebholz and Myron Sussman Energy and helicity dissipation rates of the NS-alpha and NS-alpha-deconvolution models . . . . . . . . . . . . . . . . . 56--74 Chandra N. Podder and Abba B. Gumel Qualitative dynamics of a vaccination model for HSV-2 . . . . . . . . . . . . 75--107 Luke G. Bennetts and Vernon A. Squire Linear wave forcing of an array of axisymmetric ice floes . . . . . . . . . 108--138 Mustapha El Jarroudi Asymptotic behaviour of thin linearly elastic layers of oscillating thickness 139--163
Lili Ma and Chengyu Cao and Naira Hovakimyan and Craig Woolsey and Warren E. Dixon Fast estimation for range identification in the presence of unknown motion parameters . . . . . . . . . . . . . . . 165--189 Antonio Mastroberardino and Brian J. Spencer Three-dimensional equilibrium crystal shapes with corner energy regularization 190--205 Peihu Shi and Mingxin Wang Long-time behaviour of solutions of a non-linear diffusion problem with non-local source term . . . . . . . . . 206--221 Xiaoying Han and Brian Spencer Composition evolution of quantum dots during the growth of solid films . . . . 222--239 Giovanni Cimatti A singular perturbation problem in magnetohydrodynamics . . . . . . . . . . 240--245 Lihui Tan and Lihua Yang and Daren Huang Construction of periodic analytic signals satisfying the circular Bedrosian identity . . . . . . . . . . . 246--256 Y. B. Fu and A. T. Il'ichev Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement . . . . . . . 257--268 J. A. Cuminato and A. D. Fitt and M. J. S. Mphaka and A. Nagamine A singular integro-differential equation model for dryout in LMFBR boiler tubes 269--290 Dinh Nho H\`ao and Nguyen Van Duc and D. Lesnic Regularization of parabolic equations backward in time by a non-local boundary value problem method . . . . . . . . . . 291--315
Fuke Wu and Yangzi Hu Existence and uniqueness of global positive solutions to the stochastic functional Kolmogorov-type system . . . 317--332 Manuel Núñez Two-dimensional MHD equilibria in cold gravitating plasmas . . . . . . . . . . 333--342 J. R. Blake and E. O. Tuck and P. W. Wakeley A note on the S-transform and slender body theory in Stokes flow . . . . . . . 343--355 Zhuangyi Liu and Ramón Quintanilla Analyticity of solutions in type III thermoelastic plates . . . . . . . . . . 356--365 Armin Lechleiter and Sebastian Ritterbusch A variational method for wave scattering from penetrable rough layers . . . . . . 366--391 Qintao Gan and Rui Xu and Pinghua Yang and Zheng Wu Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay . . . . . . . . . . . . . 392--417 C. Pozrikidis Computation of three-dimensional hydrostatic menisci . . . . . . . . . . 418--438 Lina Guo and Houbao Xu and Chao Gao and Guangtian Zhu Stability analysis of a new kind series system . . . . . . . . . . . . . . . . . 439--460 Ciprian D. Coman Localized elastic buckling: non-linearities versus inhomogeneities 461--474
Michel Destrade and Giuseppe Saccomandi Introduction to special issue on stability under finite deformation . . . 475--478 Paolo Biscari and Claudio Omati Stability of generalized Knowles solids 479--491 Edvige Pucci and Giuseppe Saccomandi Parametric resonance in non-linear viscoelasticity: solids of differential type . . . . . . . . . . . . . . . . . . 492--505 Fan-Fan Wang and Hui-Hui Dai Asymptotic bifurcation analysis and post-buckling for uniaxial compression of a thin incompressible hyperelastic rectangle . . . . . . . . . . . . . . . 506--524 S. Roccabianca and M. Gei and D. Bigoni Plane strain bifurcations of elastic layered structures subject to finite bending: theory versus experiments . . . 525--548 Alain Goriely and Rebecca Vandiver On the mechanical stability of growing arteries . . . . . . . . . . . . . . . . 549--570 Julien Dervaux and Martine Ben Amar Localized growth of layered tissues . . 571--580 S. P. Pearce and Y. B. Fu Characterization and stability of localized bulging/necking in inflated membrane tubes . . . . . . . . . . . . . 581--602 A. Dorfmann and R. W. Ogden Electroelastic waves in a finitely deformed electroactive material . . . . 603--636 Zhuangyi Liu and Ramón Quintanilla Analyticity of solutions in type III thermoelastic plates [republished article] . . . . . . . . . . . . . . . . 637--646
Kenta Kobayashi On the global uniqueness of Stokes' wave of extreme form . . . . . . . . . . . . 647--675 M. A. Lyalinov and N. Y. Zhu and V. P. Smyshlyaev Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls . . . . . . . . . 676--719 Johan C.-E. Sten and George Dassios Image distribution and surface potential of a dipole in a one-shell conducting sphere . . . . . . . . . . . . . . . . . 720--731 J. A. Leach The large-time development of the solution to an initial-value problem for the Korteweg--de Vries--Burgers equation: I. Initial data has a discontinuous compressive step . . . . . 732--776 Zhijun Liu and Jianhua Wu and Robert A. Cheke Coexistence and partial extinction in a delay competitive system subject to impulsive harvesting and stocking . . . 777--795 Alan J. Walker and Anthony J. Mulholland A theoretical model of an electrostatic ultrasonic transducer incorporating resonating conduits . . . . . . . . . . 796--810
Evgeny V. Semenko Flows in torus classification: schemes of two-dimensional flows past a pair of aerofoils . . . . . . . . . . . . . . . 811--832 Giovambattista Amendola and Mauro Fabrizio and John Murrough Golden Free energies for a rigid heat conductor with memory . . . . . . . . . . . . . . 833--856 Alice B. Thompson and John Billingham and Richard H. Tew Surface-tension-driven flow in a half-plane . . . . . . . . . . . . . . . 857--880 Luci Harue Fatori and Jaime E. Muñoz Rivera Rates of decay to weak thermoelastic Bresse system . . . . . . . . . . . . . 881--904 Ronald Begg and David J. N. Wall and Graeme C. Wake On a multicompartment age-distribution model of cell growth . . . . . . . . . . 905--931 C. Pozrikidis and Vikram Juneja Effect of surface viscosity on the capillary instability of an annular layer or viscous thread . . . . . . . . 932--950 G. A. Pavliotis Asymptotic analysis of the Green--Kubo formula . . . . . . . . . . . . . . . . 951--967 Gino Biondini and Danhua Wang Initial-boundary-value problems for discrete linear evolution equations . . 968--997
Chris Budd and Alan Champneys and Gabriel Lord and Lawrie Virgin Introduction to special issue on reflections in nonlinear mechanics . . . 1--1 Giles W. Hunt Reflections and symmetries in space and time . . . . . . . . . . . . . . . . . . 2--26 J. M. T. Thompson and Jan Sieber Climate tipping as a noisy bifurcation: a predictive technique . . . . . . . . . 27--46 P. L. Várkonyi and G. Domokos A general model for collision-based abrasion processes . . . . . . . . . . . 47--56 S. D. Guest The stiffness of tensegrity structures 57--66 S. R. Pring and C. J. Budd The dynamics of a simplified pinball machine . . . . . . . . . . . . . . . . 67--84 Arne Nordmark and Harry Dankowicz and Alan Champneys Friction-induced reverse chatter in rigid-body mechanisms with impacts . . . 85--119 M. Ahmer Wadee and Christina Völlmecke Semi-analytical modelling of buckling driven delamination in uniaxially compressed damaged plates . . . . . . . 120--145 Stylianos Yiatros and M. Ahmer Wadee Interactive buckling in sandwich beam-columns . . . . . . . . . . . . . . 146--168 R. Edmunds and B. J. Hicks and G. Mullineux Using constraint satisfaction as a means for modelling parallel folding evolution 169--192 Martin Kru\vzík and Johannes Zimmer A model of shape memory alloys taking into account plasticity . . . . . . . . 193--216 Chandra N. Podder and Abba B. Gumel Corrigendum to `Qualitative dynamics of a vaccination model for HSV-2, IMA J. Applied Mathematics, 75(1)(2010): 75--107' . . . . . . . . . . . . . . . . 217--218
E. Vondenhoff Large time behaviour of Hele--Shaw flow with injection or suction for perturbations of balls in $ {\mathbb R}^N $ . . . . . . . . . . . . . . . . . 219--241 Alexander Shermenev Two wave interaction in a cylinder . . . 242--250 Stéphane Junca and Bernard Rousselet The method of strained coordinates for vibrations with weak unilateral springs 251--276 Sanling Yuan and Weiguo Zhang and Yu Zhao Bifurcation analysis of a model of plasmid-bearing, plasmid-free competition in a pulsed chemostat with an internal inhibitor . . . . . . . . . 277--297 Jishan Fan and Song Jiang and Gen Nakamura On logarithmically improved regularity criteria for the Navier--Stokes equations in $ {\mathbb R}^n $ . . . . . 298--311 L. Berezansky and L. Idels and M. Kipnis Mathematical model of marine protected areas . . . . . . . . . . . . . . . . . 312--325 A. Kimiaeifar and O. T. Thomsen and E. Lund Evaluation of closed-form solutions based on the Hpm and Ham approaches for the steady flow of third grade fluids in a porous half space . . . . . . . . . . 326--339 Jin-Han Park and Jum-Ran Kang Energy decay of solutions for Timoshenko beam with a weak non-linear dissipation 340--350
Alan Champneys and Fordyce Davidson Special Issue: 2020 visions of applied mathematics . . . . . . . . . . . . . . 351--352 Christopher K. R. T. Jones Will climate change mathematics (?) . . 353--370 Mark A. J. Chaplain Multiscale mathematical modelling in biology and medicine . . . . . . . . . . 371--388 P. G. Kevrekidis Non-linear waves in lattices: past, present, future . . . . . . . . . . . . 389--423 G. R. Hunt and T. S. van den Bremer Classical plume theory: 1937--2010 and beyond . . . . . . . . . . . . . . . . . 424--448 Desmond J. Higham Stochastic ordinary differential equations in applied and computational mathematics . . . . . . . . . . . . . . 449--474 Peter Grindrod, CBE Mathematical modelling for the digital society . . . . . . . . . . . . . . . . 475--492
Zhi-Xian Yu and Rong Yuan Travelling wave solutions in non-local convolution diffusive competitive--cooperative systems . . . . 493--513 Q. X. Wang Analysis of small-aspect-ratio lifting surfaces in extreme curved-ground effect 514--523 P. G. Daniels and E. Jhugroo Pattern formation in square planform containers . . . . . . . . . . . . . . . 524--553 Jonatan Lenells An integrable generalization of the sine-Gordon equation on the half-line 554--572 Ivanka M. Stamova Lyapunov--Razumikhin method for impulsive differential equations with `supremum' . . . . . . . . . . . . . . . 573--581 Handan Borluk and Saadet Erbay Stability of solitary waves for three-coupled long wave--short wave interaction equations . . . . . . . . . 582--598 Yang Gao Decay conditions for $1$D quasicrystal beams . . . . . . . . . . . . . . . . . 599--609 Lina Ji and Changzheng Qu Conditional Lie--Bäcklund symmetries and invariant subspaces to non-linear diffusion equations . . . . . . . . . . 610--632 Roberto Ballarini and Piero Villaggio Elastic stress diffusion around a thin corrugated inclusion . . . . . . . . . . 633--641
Michael W. Collins and Duncan A. Lockerby Editorial introduction: modelling the mesoscale . . . . . . . . . . . . . . . 643--649 Xiaowen Shan Lattice Boltzmann in micro- and nano-flow simulations . . . . . . . . . 650--660 Marco Kalweit and Dimitris Drikakis Multiscale simulation strategies and mesoscale modelling of gas and liquid flows . . . . . . . . . . . . . . . . . 661--671 Henning Struchtrup and Peyman Taheri Macroscopic transport models for rarefied gas flows: a brief review . . . 672--697 Kun Xu and Juan-Chen Huang An improved unified gas-kinetic scheme and the study of shock structures . . . 698--711 G. Falcucci and S. Ubertini and D. Chiappini and S. Succi Modern lattice Boltzmann methods for multiphase microflows . . . . . . . . . 712--725 A. P. Hollis and T. J. Spencer and I. Halliday and C. M. Care Dynamic wetting boundary condition for continuum hydrodynamics with multi-component lattice Boltzmann equation simulation method . . . . . . . 726--742 Y. Q. Zu and Y. Y. Yan Lattice Boltzmann method for modelling droplets on chemically heterogeneous and microstructured surfaces with large liquid-gas density ratio . . . . . . . . 743--760 Christian Kunert and Jens Harting Lattice Boltzmann simulations of liquid film drainage between smooth surfaces 761--773 Li-Hsin Hung and Jaw-Yen Yang A coupled lattice Boltzmann model for thermal flows . . . . . . . . . . . . . 774--789 T. N. Phillips and G. W. Roberts Lattice Boltzmann models for non-Newtonian flows . . . . . . . . . . 790--816
J. Adler The spherical Liouville and associated differential equations . . . . . . . . . 817--833 Thomas Hagen and Michael Renardy Non-failure of filaments and global existence for the equations of fiber spinning . . . . . . . . . . . . . . . . 834--846 Shou-Jun Huang Impact-induced tensile waves in a kind of phase transforming materials . . . . 847--858 C. Pozrikidis and A. I. Hill Surfactant-induced instability of a sheared liquid layer . . . . . . . . . . 859--875 Yilei Tang and Deqing Huang and Weinian Zhang Direct parametric analysis of an enzyme-catalyzed reaction model . . . . 876--898 Zhimin He and Xiaowei Jiang Bifurcation and chaotic behaviour of a discrete-time variable-territory predator-prey model . . . . . . . . . . 899--918 Rui Xu and Zhien Ma Global dynamics of a vector disease model with saturation incidence and time delay . . . . . . . . . . . . . . . . . 919--937 Chokri Ben Amar and Christophe Hazard Time reversal and scattering theory for time-dependent acoustic waves in a homogeneous medium . . . . . . . . . . . 938--955
Mark Wilson and John Brindley and Michael Fairweather and Andy McIntosh and Gary Sharpe and Martin Braithwaite and Stephen Decent and David Youdan Special issue: fluid problems in process engineering . . . . . . . . . . . . . . 1--1 Donald W. Schwendeman and Ashwani K. Kapila and William D. Henshaw A comparative study of two macro-scale models of condensed-phase explosives . . 2--17 J. J. Sharples and H. S. Sidhu and A. C. McIntosh and J. Brindley and V. V. Gubernov Analysis of combustion waves arising in the presence of a competitive endothermic reaction . . . . . . . . . . 18--31 M. Kestel and P. Nikrityuk and O. Hennig and C. Hasse Numerical study of the partial oxidation of a coal particle in steam and dry air atmospheres . . . . . . . . . . . . . . 32--46 Mehmet Shala Simulation of nucleate boiling flow using a multiphase mixture modelling approach . . . . . . . . . . . . . . . . 47--58 E. M. Elmabrouk and Y. Wu Enhancing the heat transfer in a heat treatment furnace through improving the combustion process in the radiation tubes . . . . . . . . . . . . . . . . . 59--71 Alice B. Thompson and Joseph K.-W. Lam Water run-off in aircraft fuel tanks . . 72--85 Jamal Uddin and Stephen P. Decent Drop formation in rotating non-Newtonian jets with surfactants . . . . . . . . . 86--96 Muhammad Mohsin and Jamal Uddin and Stephen P. Decent and Mark J. H. Simmons Break-up and droplet formation in shear thinning compound liquid jets . . . . . 97--108
O. Sharomi and A. B. Gumel Mathematical study of in-host dynamics of \em Chlamydia trachomatis . . . . . . 109--139 Rinaldo M. Colombo and Graziano Guerra and Francesca Monti Modelling the dynamics of granular matter . . . . . . . . . . . . . . . . . 140--156 Bernard Brighi and Je-Chiang Tsai Similarity solutions for a model arising from high frequency excitation of liquid metal in an antisymmetric magnetic field 157--195 A. Hlod and A. C. T. Aarts and A. A. F. van de Ven and M. A. Peletier Three flow regimes of viscous jet falling onto a moving surface . . . . . 196--219 Valeriy V. Slastikov and Charles Sonnenberg Reduced models for ferromagnetic nanowires . . . . . . . . . . . . . . . 220--235 Y. C. Hon and Engui Fan Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations . . . . . . . . . . . . . . 236--251 Sean Lynch and Charles Knessl Singular perturbation analysis of drift-diffusion past a circle: shadow region . . . . . . . . . . . . . . . . . 252--278
Andrew Hone and Beatrice Pelloni and Demetrios Papageorgiou IMA Conference on Nonlinearity and Coherent Structures . . . . . . . . . . 279--281 Philippe Caillol Multiple vortices induced by a tridimensional critical layer in a rapidly rotating vortex . . . . . . . . 282--292 Adrian Constantin Particle trajectories in extreme Stokes waves . . . . . . . . . . . . . . . . . 293--307 Francesco Demontis and Cornelis van der Mee Closed form solutions to the matrix sine--Gordon equation . . . . . . . . . 308--315 Zhaosheng Feng and Jing Tian and Shenzhou Zheng and Hanfang Lu Travelling wave solutions of the Burgers--Huxley equation . . . . . . . . 316--325 Roger Grimshaw and Karl Helfrich The effect of rotation on internal solitary waves . . . . . . . . . . . . . 326--339 Henrik Kalisch and Darko Mitrovic Singular solutions for the shallow-water equations . . . . . . . . . . . . . . . 340--350 A. Kalogirou and D. T. Papageorgiou and Y.-S. Smyrlis Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers . . . . 351--360 K. R. Khusnutdinova and K. R. Moore Weakly non-linear extension of d'Alembert's formula . . . . . . . . . . 361--381 Anjan Kundu Non-holonomic deformation of the DNLS equation for controlling optical soliton in doped fibre media . . . . . . . . . . 382--390 Paul Manneville Coherent structures in transitional plane Couette flow . . . . . . . . . . . 391--398 Emilian I. Parau and Hugh C. Woolfenden Gap solitary waves in two-layer fluids 399--407 Marc Pradas and Serafim Kalliadasis and Dmitri Tseluiko Binary interactions of solitary pulses in falling liquid films . . . . . . . . 408--419 Jens Rottmann-Matthes Stability and freezing of waves in non-linear hyperbolic-parabolic systems 420--429 A. W. Wray and O. Matar and D. T. Papageorgiou Non-linear waves in electrified viscous film flow down a vertical cylinder . . . 430--440
Shuguang Li On the nature of periodic traction boundary conditions in micromechanical Fe analyses of unit cells . . . . . . . 441--450 D. J. Needham The initial development of a jet caused by fluid, body and free surface interaction. Part 4. The large-time structure . . . . . . . . . . . . . . . 451--472 De-Xing Kong Long-time behaviour of smooth solutions to the compressible Euler equations with damping in several space variables . . . 473--494 Philipp Jester and Christoph Menke and Karsten Urban Wavelet methods for the representation, analysis and simulation of optical surfaces . . . . . . . . . . . . . . . . 495--515 Dong Liang and Peixuan Weng and Jianhong Wu Travelling wave solutions in a delayed predator-prey diffusion PDE system point-to-periodic and point-to-point waves . . . . . . . . . . . . . . . . . 516--545 Gabriella Bognár On similarity solutions of boundary layer problems with upstream moving wall in non-Newtonian power-law fluids . . . 546--562 Jingjing Liu and Zhaoyang Yin On the blow-up phenomena for a modified periodic two-component Camassa--Holm equation . . . . . . . . . . . . . . . . 563--577 Norfifah Bachok and Anuar Ishak and Roslinda Nazar and Ioan Pop Ingham problem for free convection near a continuously moving vertical permeable plate . . . . . . . . . . . . . . . . . 578--589 Anthony D. Rawlins The method of finite-product extraction and an application to Wiener--Hopf theory . . . . . . . . . . . . . . . . . 590--602
Alan R. Champneys Editorial . . . . . . . . . . . . . . . 603--604 R. C. Assier and N. Peake Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane . . . . . . . . . . . . . 605--625 A. L. Stewart and P. J. Dellar Cross-equatorial channel flow with zero potential vorticity under the complete Coriolis force . . . . . . . . . . . . . 626--651 S. J. Lind and T. N. Phillips The effect of viscoelasticity on the dynamics of two gas bubbles near a rigid boundary . . . . . . . . . . . . . . . . 652--677 Alice B. Thompson and John Billingham Inviscid coalescence in the presence of a surrounding fluid . . . . . . . . . . 678--696 Igor L. Chernyavsky and Ian L. Dryden and Oliver E. Jensen Characterizing the multiscale structure of fluctuations of transported quantities in a disordered medium . . . 697--725
C. J. Van Duijn and M. A. Peletier and I. S. Pop and S. M. Hassanizadeh and A. Mikeli\'c and B. Schweizer Editorial . . . . . . . . . . . . . . . 727--728 Vincenzo Capasso and Daniela Morale and Giuseppe Facchetti The role of stochasticity in a model of retinal angiogenesis . . . . . . . . . . 729--747 Suncica Cani\'c and Josip Tambaca Cardiovascular stents as PDE nets: $1$D vs. $3$D . . . . . . . . . . . . . . . . 748--770 Maria T. Elenius and Jan M. Nordbotten and Henrik Kalisch Effects of a capillary transition zone on the stability of a diffusive boundary layer . . . . . . . . . . . . . . . . . 771--787 G. Allaire and H. Hutridurga Homogenization of reactive flows in porous media and competition between bulk and surface diffusion . . . . . . . 788--815 Andrea Braides and Andrea Causin and Margherita Solci Interfacial energies on quasicrystals 816--836 D. Cioranescu and G. Griso and A. Damlamian The periodic unfolding for a Fredholm alternative in perforated domains . . . 837--854 Anna Marciniak-Czochra Strong two-scale convergence and corrector result for a receptor-based model of intercellular communication . . 855--868 Augusto Visintin On the homogenization of visco-elastic processes . . . . . . . . . . . . . . . 869--886 Katherina Baber and Klaus Mosthaf and Bernd Flemisch and Rainer Helmig and Steffen Müthing and Barbara Wohlmuth Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow . . . 887--909
Zhi-Qiang Shao Asymptotic behaviour of global classical solutions to the mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems . . . . . 1--31 C. Pozrikidis and J. M. Davis Resistance and pressure coefficients for a periodic array of spherical, spheroidal, and cylindrical particles inside a circular tube . . . . . . . . . 32--58 M. D. Sharma Wave propagation in a dissipative poroelastic medium . . . . . . . . . . . 59--69 Yanling Tian and Peixuan Weng Asymptotic patterns of a reaction-diffusion equation with nonlinear-nonlocal functional response 70--101 Yue-Jun Peng and Jérémy Ruiz Riemann problem for the Born--Infeld system without differential constraints 102--131 Gavin R. Thomson and Christian Constanda The transmission problem for harmonic oscillations of thin plates . . . . . . 132--145 Linfeng Mei and Xiaoyan Zhang Existence of positive stationary solutions for a diffusive variable-territory predator-prey model 146--158
S. M. Cox and C. K. Lam and M. T. Tan A second-order PWM-in/PWM-out class-D audio amplifier . . . . . . . . . . . . 159--180 R. Mondal and S. K. Mohanty and T. Sahoo Expansion formulae for wave structure interaction problems in three dimensions 181--205 Lawrence K. Forbes and Graeme C. Hocking Unsteady plumes in planar flow of viscous and inviscid fluids . . . . . . 206--234 F. Liu and K. Burrage and N. A. Hamilton Some novel techniques of parameter estimation for dynamical models in biological systems . . . . . . . . . . . 235--260 Peter Berg and Paul Hanz and Ian Milton An energy-economic oil production model 261--286 Xin Li and Weihua Jiang and Junping Shi Hopf bifurcation and Turing instability in the reaction-diffusion Holling--Tanner predator-prey model . . 287--306 Q. X. Wang The aerodynamics of a slender body moving very close to a water wave surface . . . . . . . . . . . . . . . . 307--337 C. J. Budd and V. A. Galaktionov On self-similar blow-up in evolution equations of Monge--Amp\`ere type . . . 338--378 Sun-Chul Kim and Hisashi Okamoto The generalized Proudman--Johnson equation at large Reynolds numbers . . . 379--403
Tilo Arens and Kai Sandfort and Susanne Schmitt and Armin Lechleiter Analysing Ewald's method for the evaluation of Green's functions for periodic media . . . . . . . . . . . . . 405--431 M. Z. Dauhoo and B. S. N. Korimboccus and S. B. Issack On the dynamics of illicit drug consumption in a given population . . . 432--448 Dongshu Wang Four positive periodic solutions of a delayed plankton allelopathy system on time scales with multiple exploited (or harvesting) terms . . . . . . . . . . . 449--473 Bejoy K. Choudhury Diffusion of heat in multidimensional composite spherical body . . . . . . . . 474--493 Lina Wang and Hailei Shao and Yaping Wu Stability of travelling front solutions for a forest dynamical system with cross-diffusion . . . . . . . . . . . . 494--512 J. H. Merkin On wave trains arising in the two-variable Oregonator model for the BZ reaction . . . . . . . . . . . . . . . . 513--536 Lennon Ó Náraigh and Khalid Kamhawi Multiscale methods and modelling for chemical reactions on oscillating surfaces . . . . . . . . . . . . . . . . 537--565 Rui Peng Qualitative analysis on a diffusive and ratio-dependent predator-prey model . . 566--586 D. A. Fidler and A. A. Lacey Dynamics of vertical fire spread . . . . 587--613 Nikos I. Kavallaris and Takashi Suzuki Non-local reaction-diffusion system involved by reaction radius I . . . . . 614--632 Kun Li and Xiong Li Travelling wave solutions in integro-difference competition system 633--650
Paul Milewski and Demetrios Papageorgiou Editorial . . . . . . . . . . . . . . . 651--651 S. Agrawal and G. A. Kriegsmann A model for the microwave heating of a thin ceramic slab in a multimode cavity 652--664 M. G. Blyth and E. I. Parau Deformation of an elastic cell in a uniform stream and in a circulatory flow 665--684 Benjamin J. Binder and M. G. Blyth and Scott W. McCue Free-surface flow past arbitrary topography and an inverse approach for wave-free solutions . . . . . . . . . . 685--696 Christopher J. Lustri and Scott W. McCue and S. Jonathan Chapman Exponential asymptotics of free surface flow due to a line source . . . . . . . 697--713 Kamyar Malakuti and Russel E. Caflisch and Michael Siegel and Alex Virodov Detection of complex singularities for a function of several variables . . . . . 714--728 Marios Tziannaros and Stephen E. Glavin and Frank T. Smith Three-dimensional effects in the lower urinary tract . . . . . . . . . . . . . 729--749 Z. Wang and J-M. Vanden-Broeck and P. A. Milewski Two-dimensional flexural-gravity waves of finite amplitude in deep water . . . 750--761 Dmitri Tseluiko and Josh Baxter and Uwe Thiele A homotopy continuation approach for analysing finite-time singularities in thin liquid films . . . . . . . . . . . 762--776 John K. Hunter and Mihaela Ifrim A quasi-linear Schrödinger equation for large amplitude inertial oscillations in a rotating shallow fluid . . . . . . . . 777--796 Lane C. McConnell and Michael J. Miksis and Petia M. Vlahovska Vesicle electrohydrodynamics in DC electric fields . . . . . . . . . . . . 797--817 M. R. Moore and J. R. Ockendon and J. M. Oliver Air-cushioning in impact problems . . . 818--838 Joseph B. Keller Water wave production by oscillating bodies . . . . . . . . . . . . . . . . . 839--850 M. R. Booty and D. T. Papageorgiou and M. Siegel and Q. Wang Long-wave equations and direct simulations for the breakup of a viscous fluid thread surrounded by an immiscible viscous fluid . . . . . . . . . . . . . 851--867
M. A. Ebrahimi and Evelyn Lunasin The Navier--Stokes--Voight model for image inpainting . . . . . . . . . . . . 869--894 Cédric Bellis and Fioralba Cakoni and Bojan B. Guzina Nature of the transmission eigenvalue spectrum for elastic bodies . . . . . . 895--923 Chang-Ming Chen and F. Liu and K. Burrage and Y. Chen Numerical methods of the variable-order Rayleigh--Stokes problem for a heated generalized second grade fluid with fractional derivative . . . . . . . . . 924--944 Péter L. Simon and Istvan Z. Kiss From exact stochastic to mean-field ODE models: a new approach to prove convergence results . . . . . . . . . . 945--964 M. Destrade and R. W. Ogden On stress-dependent elastic moduli and wave speeds . . . . . . . . . . . . . . 965--997 Xu Wang and Peter Schiavone Extension of certain key results from classical elasticity to decagonal quasicrystalline composites . . . . . . 998--1014 Guowang Chen and Xianjun Han Global existence of solution of Cauchy problem for a non-linear wave equation 1015--1031 Julio R. Claeyssen and Teresa Tsukazan and Rosemaira D. Copetti Eigenanalysis of an Euler--Bernoulli model coupled with van der Waals forces for carbon nanotubes . . . . . . . . . . 1032--1050 Christian Kuehn and Stefan Siegmund and Thilo Gross Dynamical analysis of evolution equations in generalized models . . . . 1051--1077 Baris Erbas and Julius Kaplunov and Danila A. Prikazchikov The Rayleigh wave field in mixed problems for a half-plane . . . . . . . 1078--1086 S. Moutari and M. Herty and A. Klein and M. Oeser and B. Steinauer and V. Schleper Modelling road traffic accidents using macroscopic second-order models of traffic flow . . . . . . . . . . . . . . 1087--1108
P. N. Ivanshin and E. A. Shirokova Spline-interpolation solution of $3$D Dirichlet problem for a certain class of solids . . . . . . . . . . . . . . . . . 1109--1129 M. A. Jorge Silva and T. F. Ma On a viscoelastic plate equation with history setting and perturbation of $p$-Laplacian type . . . . . . . . . . . 1130--1146 Doobae Jun and Hyejin Ku Digital barrier option contract with exponential random time . . . . . . . . 1147--1155 R. Sakthivel and R. Raja and S. Marshal Anthoni Linear matrix inequality approach to stochastic stability of uncertain delayed BAM neural networks . . . . . . 1156--1178 F. Hegedüs and C. Hös and L. Kullmann Stable period $1$, $2$ and $3$ structures of the harmonically excited Rayleigh--Plesset equation applying low ambient pressure . . . . . . . . . . . . 1179--1195 J. A. Leach An initial-value problem for the modified Korteweg--de Vries equation . . 1196--1213 Anthony Kay A viscous buoyancy-driven flow exhibiting finite-time blow-up . . . . . 1214--1236 W. Wang and A. J. Roberts Macroscopic reduction for stochastic reaction-diffusion equations . . . . . . 1237--1264 Jianhua Wu and Cui Ma and Gaihui Guo The effect of interaction ratio in a chemical reaction . . . . . . . . . . . 1265--1289 Chufen Wu and Dongmei Xiao Travelling wave solutions in a non-local and time-delayed reaction-diffusion model . . . . . . . . . . . . . . . . . 1290--1317 Zhi-Qiang Shao Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws under small BV perturbations of the initial data: shocks and contact discontinuities . . . . . . . . . . . . 1318--1355
Nikos I. Kavallaris and Takashi Suzuki Non-local reaction-diffusion system involving reaction radius II: rate of convergence . . . . . . . . . . . . . . 1--21 Warren R. Smith and Jan G. Wissink Parameterization of travelling waves in plane Poiseuille flow . . . . . . . . . 22--32 Sam D'haeyer and B. Tomas Johansson and Marián Slodicka Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process . . . . . . . . . . . 33--53 Paolo Fernandes and Marina Ottonello and Mirco Raffetto Regularity of time-harmonic electromagnetic fields in the interior of bianisotropic materials and metamaterials . . . . . . . . . . . . . 54--93 W. D. Collins Synchronous running of a double-stator permanent magnet motor with a series capacitor . . . . . . . . . . . . . . . 94--108 Amir T. Payandeh Najafabadi and Dan Kucerovsky Exact solutions for a class of matrix Riemann--Hilbert problems . . . . . . . 109--123 Miles Wilson and David M. Leppinen and Peter M. Haese and John R. Blake Modelling of solid spheres and bubbles near a tip-vortex and a vortex ring . . 124--162 Rob H. De Staelen and Guillaume Crevecoeur A sensor sensitivity and correlation analysis through polynomial chaos in the EEG problem . . . . . . . . . . . . . . 163--174 H. Y. Alfifi and T. R. Marchant and M. I. Nelson Semi-analytical solutions for the $1$- and $2$-D diffusive Nicholson's blowflies equation . . . . . . . . . . . 175--199
Julio Rodriguez and Max-Olivier Hongler Networks of Self-Adaptive Dynamical Systems . . . . . . . . . . . . . . . . 201--240 To Fu Ma and Jaime Edilberto Muñoz Rivera and Higidio Portillo Oquendo and Fredy Maglorio Sobrado Suárez Polynomial stabilization of magnetoelastic plates . . . . . . . . . 241--253 B. Wirth and I. Sobey and A. Eisenträger Conditions for choking in a poroelastic flow model . . . . . . . . . . . . . . . 254--273 Dmitri Tseluiko and Serafim Kalliadasis Weak interaction of solitary pulses in active dispersive-dissipative nonlinear media . . . . . . . . . . . . . . . . . 274--299 Aleksandar Mijatovi\'c and Mikhail Urusov A note on delta hedging in markets with jumps . . . . . . . . . . . . . . . . . 300--312 Ning Ruan and D. Y. Gao Canonical duality approach for non-linear dynamical systems . . . . . . 313--325 Xiaoguang Li and Jian Zhang and Shaoyong Lai and Yonghong Wu On the blow-up phenomenon for a generalized Davey--Stewartson system . . 326--346 Xiaohong Tian and Rui Xu Global stability of a delayed HIV-1 infection model with absorption and CTL immune response . . . . . . . . . . . . 347--359 M. Shams and R. W. Ogden On Rayleigh-type surface waves in an initially stressed incompressible elastic solid . . . . . . . . . . . . . 360--376 B. Tomas Johansson and Vladimir A. Kozlov Solvability and asymptotics of the heat equation with mixed variable lateral conditions and applications in the opening of the exocytotic fusion pore in cells . . . . . . . . . . . . . . . . . 377--392
Mikhail A. Lyalinov Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves . . . . . . . . . . . 393--430 S. Shen and F. Liu and V. Anh and I. Turner and J. Chen A novel numerical approximation for the space fractional advection-dispersion equation . . . . . . . . . . . . . . . . 431--444 P. G. Siddheshwar and A. Chan and U. S. Mahabaleswar Suction-induced magnetohydrodynamics of a viscoelastic fluid over a stretching surface within a porous medium . . . . . 445--458 D. M. Leppinen and D. A. S. Rees Natural convection in shallow porous cavities near the density maximum: the conduction and intermediate regimes . . 459--493 Sakthivel Kasinathan Twofold rotation between kinematically compatible martensites . . . . . . . . . 494--501 Yi-Gang Cen and Rui-Zhen Zhao and Li-Hui Cen and Zhen-Jiang Miao and Xiao-Fang Chen Explicit construction of compactly supported biorthogonal multiwavelets via matrix extension . . . . . . . . . . . . 502--534 N. Y. Bailey and K. A. Cliffe and S. Hibberd and H. Power On the dynamics of a high-speed coned fluid-lubricated bearing . . . . . . . . 535--561 K. Balachandran and J. Kokila Controllability of non-linear implicit fractional dynamical systems . . . . . . 562--570 Xiaoqin P. Wu and Liancheng Wang A Krawiec--Szydlowski model of business cycles with a time delay in capital stock . . . . . . . . . . . . . . . . . 571--599
Yibin Fu Foreword to Special Issue for winners of the 2nd IMA Lighthill-Thwaites Prize . . 601--602 Laura S. Kimpton and Jonathan P. Whiteley and Sarah L. Waters and James M. Oliver The effect of membrane-regulated actin polymerization on a two-phase flow model for cell motility . . . . . . . . . . . 603--635 Thomas E. Woolley and Eamonn A. Gaffney and Sarah L. Waters and James M. Oliver and Ruth E. Baker and Alain Goriely Three mechanical models for blebbing and multi-blebbing . . . . . . . . . . . . . 636--660 M. R. Moore and J. M. Oliver On air cushioning in axisymmetric impacts . . . . . . . . . . . . . . . . 661--680 Matthew G. Hennessy and Andreas Münch Dynamics of a slowly evaporating solvent-polymer mixture with a deformable upper surface . . . . . . . . 681--720
Roger Bustamante and Jose Merodio and David Steigmann Foreword to Special Issue celebrating Professor Ray Ogden's 70th birthday . . 721--721 Jyothi Krishnan and David J. Steigmann A polyconvex formulation of isotropic elastoplasticity theory . . . . . . . . 722--738 A. P. S. Selvadurai Mechanics of contact between bi-material elastic solids perturbed by a flexible interface . . . . . . . . . . . . . . . 739--752 Thomas M. Michelitsch and Gérard A. Maugin and Shahram Derogar and Mujibur Rahman A regularized representation of the fractional Laplacian in $n$ dimensions and its relation to Weierstrass--Mandelbrot-type fractal functions . . . . . . . . . . . . . . . 753--777 R. Quintanilla and K. R. Rajagopal Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid . . . . . . . . 778--789 Xu Wang and Peter Schiavone Finite deformation of harmonic solids with cusp cracks . . . . . . . . . . . . 790--803 Pasquale Ciarletta and Michel Destrade Torsion instability of soft solid cylinders . . . . . . . . . . . . . . . 804--819 C. O. Horgan and J. G. Murphy Some unexpected behaviour in shear for elasticity models of arterial tissue that only use the $ I_1 $, $ I_4 $, $ I_6 $ invariants . . . . . . . . . . . . 820--829 Stephan Rudykh and Mary C. Boyce Analysis of elasmoid fish imbricated layered scale-tissue systems and their bio-inspired analogues at finite strains and bending . . . . . . . . . . . . . . 830--847 M. A. Dagher and K. P. Soldatos Pure azimuthal shear deformation of an incompressible tube reinforced by radial fibres resistant in bending . . . . . . 848--868 Stephen R. Rickaby and Nigel H. Scott Orthotropic cyclic stress-softening model for pure shear during repeated loading and unloading . . . . . . . . . 869--888 J. H. Adler and L. Dorfmann and D. Han and S. MacLachlan and C. Paetsch Mathematical and computational models of incompressible materials subject to shear . . . . . . . . . . . . . . . . . 889--914 Pham Chi Vinh and Jose Merodio and Trinh Thi Thanh Hue and Nguyen Thi Nam Non-principal Rayleigh waves in deformed transversely isotropic incompressible non-linearly elastic solids . . . . . . 915--928 Roberta Springhetti and Eliana Bortot and Gal deBotton and Massimiliano Gei Optimal energy-harvesting cycles for load-driven dielectric generators in plane strain . . . . . . . . . . . . . . 929--946 Heiko Topol and Hasan Demirkoparan and Thomas J. Pence and Alan Wineman A theory for deformation dependent evolution of continuous fibre distribution applicable to collagen remodelling . . . . . . . . . . . . . . 947--977 Hao Gao and David Carrick and Colin Berry and Boyce E. Griffith and Xiaoyu Luo Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method . . . . . 978--1010 David Roy and Gerhard A. Holzapfel and Claude Kauffmann and Gilles Soulez Finite element analysis of abdominal aortic aneurysms: geometrical and structural reconstruction with application of an anisotropic material model . . . . . . . . . . . . . . . . . 1011--1026 Aleksandar Tomic and Alfio Grillo and Salvatore Federico Poroelastic materials reinforced by statistically oriented fibres --- numerical implementation and application to articular cartilage . . . . . . . . . 1027--1059
David C. Moore and Milijana Odavic and Stephen M. Cox Dead-time effects on the voltage spectrum of a PWM inverter . . . . . . . 1061--1076 A. Kadem and M. Kirane and C. M. Kirk and W. E. Olmstead Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities . . . . . . . . . . . . 1077--1088 Melanie E. Roberts and Andrew P. Bassom Stability of a time-periodic flow incorporating a simple model for noise 1089--1106 Stephen R. Rickaby and Nigel H. Scott Multicyclic modelling of softening in biological tissue . . . . . . . . . . . 1107--1125 Sergey V. Utyuzhnikov Real-time active wave control with preservation of wanted field . . . . . . 1126--1138 Sara M.-A. S. Elsheikh and Kailash C. Patidar and Rachid Ouifki Analysis of a malaria model with a distributed delay . . . . . . . . . . . 1139--1160 Fábio Natali and Aloisio Neves Orbital stability of periodic waves . . 1161--1179 Mikael Barboteu and Flavius Patrulescu and Ahmad Ramadan and Mircea Sofonea History-dependent contact models for viscoplastic materials . . . . . . . . . 1180--1200
Pak-Wing Fok and Qunhui Han and Tom Chou Reconstruction of a persistent random walk from exit time distributions . . . 1--23 Dinh Nho H\`ao and Phan Xuan Thanh and D. Lesnic Determination of the ambient temperature in transient heat conduction . . . . . . 24--46 Chi-Sing Man and Gen Nakamura and Kazumi Tanuma and Shengzhang Wang Dispersion of Rayleigh waves in vertically-inhomogeneous prestressed elastic media . . . . . . . . . . . . . 47--84 Xiaodi Li and Donal O'Regan and Haydar Akca Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays . . . . 85--99 Chengjun Sun and Rudolf Leube and Reinhard Windoffer and Stéphanie Portet A mathematical model for the keratin cycle of assembly and disassembly . . . 100--114 Rongfang Gong and Xiaoliang Cheng An optimal finite element error estimate for an inverse problem in multispectral bioluminescence tomography . . . . . . . 115--134 Louis-Philippe Saumier and Martial Agueh and Boualem Khouider An efficient numerical algorithm for the $ L^2 $ optimal transport problem with periodic densities . . . . . . . . . . . 135--157 Timothy K. Gao Complete solutions to a class of eighth-order polynomial optimization problems . . . . . . . . . . . . . . . . 158--176 Donald W. Schwendeman and Colin P. Please and Burt S. Tilley and Ferdinand Hendriks A homogenization analysis of the compressible flow between a slider and a moving patterned rough surface . . . . . 177--211 Adriano De Cezaro and Jorge P. Zubelli The tangential cone condition for the iterative calibration of local volatility surfaces . . . . . . . . . . 212--232 Salvatore Federico and Alfio Grillo Erratum to: Poroelastic Materials Reinforced by Statistically Oriented Fibres --- Numerical Implementation and Application to Articular Cartilage . . . 233--234
J. E. Bunder and James M. Hill General model for diffusive growth of nanostructures . . . . . . . . . . . . . 235--254 A. M. Salem Entropy generation for magnetohydrodynamic heat transfer over a non-isothermal stretching sheet with variable viscosity . . . . . . . . . . . 255--272 M. Schmuck and M. Pradas and G. A. Pavliotis and S. Kalliadasis A new mode reduction strategy for the generalized Kuramoto--Sivashinsky equation . . . . . . . . . . . . . . . . 273--301 Cheng-Hsiung Hsu and Jian-Jhong Lin and Tzi-Sheng Yang Travelling wave solutions for delayed lattice reaction-diffusion systems . . . 302--323 Samuel P. Groth and David P. Hewett and Stephen Langdon Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons 324--353 Yulan Wang and Zhaoyin Xiang The interfaces of an inhomogeneous non-Newtonian polytropic filtration equation with convection . . . . . . . . 354--375 D. J. Knox and S. K. Wilson and B. R. Duffy and S. McKee Porous squeeze-film flow . . . . . . . . 376--409 Alain Miranville and Ramon Quintanilla A generalization of the Allen--Cahn equation . . . . . . . . . . . . . . . . 410--430 Natalia C. Rosca and Alin V. Rosca and John H. Merkin and Ioan Pop Mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order wall velocity condition and a constant surface heat flux . . . . . . 431--451 Ionel-Dumitrel Ghiba and Emilian Bulgariu On spatial evolution of the solution of a non-standard problem in the bending theory of elastic plates . . . . . . . . 452--473 Minoru Tabata and Nobuoki Eshima and Yuichi Kiyonari and Ichiro Takagi The existence and uniqueness of short-run equilibrium of the Dixit--Stiglitz--Krugman model in an urban-rural setting . . . . . . . . . . 474--493 Jacek Gulgowski and Jerzy Julian Michalski Topological attitude towards path following, applied to localization of complex dispersion characteristics for a lossy microwave, ferrite-coupled transmission line . . . . . . . . . . . 494--507 Guanghui Hu and Andreas Rathsfeld Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings . . . . 508--532 D. A. Edwards Sharp Fickian fronts in conjugated polymer films . . . . . . . . . . . . . 533--553 P. F. Easthope Examination of SGP4 along-track errors for initially circular orbits . . . . . 554--568 Chongyang Liu Optimal control of a switched autonomous system with time delay arising in fed-batch processes . . . . . . . . . . 569--584
B. A. van de Rotten and S. M. Verduyn Lunel A memory-efficient Broyden method to compute fixed points of non-linear maps arising in periodically forced processes 585--607 Yue Jia and Cosmin Anitescu and Seyed Shahram Ghorashi and Timon Rabczuk Extended isogeometric analysis for material interface problems . . . . . . 608--633 Anthony M. J. Davis and Darren G. Crowdy Matched asymptotics for a spherical low-Reynolds-number treadmilling swimmer near a rigid wall . . . . . . . . . . . 634--650 Ji-Hun Yoon and Jeong-Hoon Kim and Jinnam Jo Singularity of scattering and Dirichlet-to-Neumann operator symbols in elliptic wave propagation models . . . . 651--675 Alemdar Hasanov and Balgaisha Mukanova Relationship between representation formulas for unique regularized solutions of inverse source problems with final overdetermination and singular value decomposition of input-output operators . . . . . . . . . 676--696 Andreas Rätz A new diffuse-interface model for step flow in epitaxial growth . . . . . . . . 697--711 Ye-Ping Li and Wen-An Yong Quasi-neutral limit in a $3$D compressible Navier--Stokes--Poisson--Korteweg model 712--727 Zhi-Yong Zhang and Yu-Fu Chen Determination of approximate non-linear self-adjointness and approximate conservation law . . . . . . . . . . . . 728--746 A. Borrelli and G. Giantesio and M. C. Patria Influence of a non-uniform external magnetic field on the oblique stagnation-point flow of a micropolar fluid . . . . . . . . . . . . . . . . . 747--765 Ciprian Foias and Michael S. Jolly and Ruomeng Lan and Rishika Rupam and Yong Yang and Bingsheng Zhang Time analyticity with higher norm estimates for the $2$D Navier--Stokes equations . . . . . . . . . . . . . . . 766--810 Ivan Sudakov and Sergey A. Vakulenko A mathematical model for a positive permafrost carbon-climate feedback . . . 811--824 H. Ye and F. Liu and V. Anh and I. Turner Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains 825--838 Panayiotis Vafeas and Polycarpos K. Papadopoulos and Pavlos M. Hatzikonstantinou Analytical integro-differential representation of flow fields for the micropolar Stokes flow of a conducting ferrofluid . . . . . . . . . . . . . . . 839--864 Paul D. Ledger and William R. B. Lionheart The perturbation of electromagnetic fields at distances that are large compared with the object's size . . . . 865--892 Natanael Karjanto On the method of strained parameters for a KdV type of equation with exact dispersion property . . . . . . . . . . 893--905 Xinglong Wu and Boling Guo The Cauchy problem of the modified CH and DP equations . . . . . . . . . . . . 906--930
Hyeon Jeong Kim and Marco A. Fontelos and Hyung Ju Hwang Capillary oscillations at the exit of a nozzle . . . . . . . . . . . . . . . . . 931--962 G. Perrusson and P. Vafeas and I. K. Chatjigeorgiou and D. Lesselier Low-frequency on-site identification of a highly conductive body buried in earth from a model ellipsoid . . . . . . . . . 963--980 R. E. Caflisch and G. Gambino and M. Sammartino and C. Sgarra European option pricing with transaction costs and stochastic volatility: an asymptotic analysis . . . . . . . . . . 981--1008 Csaba H\Hos and Csaba Bazsó and Alan Champneys Model reduction of a direct spring-loaded pressure relief valve with upstream pipe . . . . . . . . . . . . . 1009--1024 Jinde Cao and Yi Wang and Abdulaziz Alofi and Abdullah Al-Mazrooei and Ahmed Elaiw Global stability of an epidemic model with carrier state in heterogeneous networks . . . . . . . . . . . . . . . . 1025--1048 Christophe Hazard On the absence of trapped modes in locally perturbed open waveguides . . . 1049--1062 Fioralba Cakoni and Nicolas Chaulet and Houssem Haddar Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media . . . . . . . . . . 1063--1098 Lyudmyla L. Barannyk and Alexander Panchenko Optimizing performance of the deconvolution model reduction for large ODE systems . . . . . . . . . . . . . . 1099--1123 Zhiting Xu and Yiyi Zhang Spatial dynamics of a time-delayed reaction and diffusion malaria model . . 1124--1154 Sandra M. Merchant and Wayne Nagata Selection and stability of wave trains behind predator invasions in a model with non-local prey competition . . . . 1155--1177 Tomoaki Sakurai and Toshiaki Murofushi Linear complementarity representation of piecewise linear functions . . . . . . . 1178--1198 Jun Guo and Qinghua Wu and Guozheng Yan The inverse scattering problem by a crack buried in a piecewise homogeneous medium . . . . . . . . . . . . . . . . . 1199--1218 Yangzi Hu and Fuke Wu Exponential extinction of a stochastic Lotka--Volterra model with expectations in coefficients . . . . . . . . . . . . 1219--1234 Hayk Nersisyan and Denys Dutykh and Enrique Zuazua Generation of $2$D water waves by moving bottom disturbances . . . . . . . . . . 1235--1253 Cui-Ping Cheng and Wan-Tong Li and Guo Lin Travelling wave solutions in periodic monostable equations on a two-dimensional spatial lattice . . . . 1254--1272 Junliang Wu and Jianguo Zhao A survey of the progress of locating methods of complex matrices' eigenvalues and some new location theorem and their applications . . . . . . . . . . . . . . 1273--1285
R. Bustamante and K. R. Rajagopal A note on some new classes of constitutive relations for elastic bodies . . . . . . . . . . . . . . . . . 1287--1299 Christian Stinner and Christina Surulescu and Gülnihal Meral A multiscale model for pH-tactic invasion with time-varying carrying capacities . . . . . . . . . . . . . . . 1300--1321 Mingru Zhou and Li Sun On the corner singularities in the classical and Reissner--Mindlin plate theories . . . . . . . . . . . . . . . . 1322--1335 Cheng-Hsiung Hsu and Jian-Jhong Lin and Ting-Hui Yang Travelling wave solutions for Kolmogorov-type delayed lattice reaction-diffusion systems . . . . . . . 1336--1367 Anthony G. Pakes Lambert's $W$ meets Kermack--McKendrick Epidemics . . . . . . . . . . . . . . . 1368--1386 Laurent Mertz and Alain Bensoussan Degenerate Dirichlet problems related to the ergodic property of an elasto-plastic oscillator excited by a filtered white noise . . . . . . . . . . 1387--1408 N. Y. Bailey and K. A. Cliffe and S. Hibberd and H. Power Dynamics of a parallel, high-speed, lubricated thrust bearing with Navier slip boundary conditions . . . . . . . . 1409--1430 Meng Liu Global asymptotic stability of stochastic Lotka--Volterra systems with infinite delays . . . . . . . . . . . . 1431--1453 Jake P. Taylor-King and Benjamin Franz and Christian A. Yates and Radek Erban Mathematical modelling of turning delays in swarm robotics . . . . . . . . . . . 1454--1474 M. Hadjinicolaou and E. Protopapas Spectral decomposition of the Stokes flow operators in the inverted prolate spheroidal coordinates . . . . . . . . . 1475--1491 A. J. Roberts Macroscale, slowly varying, models emerge from the microscale dynamics . . 1492--1518 Nazim B. Kerimov and Mansur I. Ismailov Direct and inverse problems for the heat equation with a dynamic-type boundary condition . . . . . . . . . . . . . . . 1519--1533 Hong-Bo Shi and Shigui Ruan Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference . . . . 1534--1568 Anastasia V. Kisil The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem . . . . . . . . 1569--1581 Lydia M. Rickett and Robert Penfold and Mark G. Blyth and Richard Purvis and Mark J. Cooker Incipient mixing by Marangoni effects in slow viscous flow of two immiscible fluid layers . . . . . . . . . . . . . . 1582--1618 Gani Stamov and Ivanka Stamova Second method of Lyapunov and almost periodic solutions for impulsive differential systems of fractional order 1619--1633
A. E. Lindsay and J. Lega and K. B. Glasner Regularized model of post-touchdown configurations in electrostatic MEMS: interface dynamics . . . . . . . . . . . 1635--1663 Karl Kunisch and Armin Rund Time optimal control of the monodomain model in cardiac electrophysiology . . . 1664--1683 Ebrahem A. Algehyne and Anthony J. Mulholland A finite element approach to modelling fractal ultrasonic transducers . . . . . 1684--1702 Jun Zhou and Junping Shi Pattern formation in a general glycolysis reaction-diffusion system . . 1703--1738 Priscila Leal da Silva and Igor Leite Freire Symmetry analysis of a class of autonomous even-order ordinary differential equations . . . . . . . . . 1739--1758 J. B. Bostwick and P. H. Steen Liquid-bridge shape stability by energy bounding . . . . . . . . . . . . . . . . 1759--1775 Paul D. Ledger and William R. B. Lionheart Characterizing the shape and material properties of hidden targets from magnetic induction data . . . . . . . . 1776--1798 Dongshuang Hou and Theo Driessen and Hao Sun The Shapley value and the nucleolus of service cost savings games as an application of $1$-convexity . . . . . . 1799--1807 Hua Chen and Gongwei Liu Well-posedness for a class of Kirchhoff equations with damping and memory terms 1808--1836 John A. Thornby and Robert S. MacKay and Mark A. Williams Mathematical principles for the design of isostatic mount systems for dynamic structures . . . . . . . . . . . . . . . 1837--1854 Qiao Liu On blow-up criteria for the $3$D nematic liquid crystal flows . . . . . . . . . . 1855--1870 Xinhong Zhang and Wenxue Li and Ke Wang Periodic solutions of coupled systems on networks with both time-delay and linear coupling . . . . . . . . . . . . . . . . 1871--1889 Luke A. Fullard and Graeme C. Wake An analytical series solution to the steady laminar flow of a Newtonian fluid in a partially filled pipe, including the velocity distribution and the dip phenomenon . . . . . . . . . . . . . . . 1890--1901 Darren Crowdy A transform method for Laplace's equation in multiply connected circular domains . . . . . . . . . . . . . . . . 1902--1931 Robert J. Whittaker A shear-relaxation boundary layer near the pinned ends of a buckled elastic-walled tube . . . . . . . . . . 1932--1967
Alan J. Walker and Anthony J. Mulholland A theoretical model of an ultrasonic transducer incorporating spherical resonators . . . . . . . . . . . . . . . 1--25 Jasmina Djordjevi\'c On a class of backward doubly stochastic differential equations with continuous coefficients . . . . . . . . . . . . . . 26--41 Josef Malík Spectral analysis connected with suspension bridge systems . . . . . . . 42--75 Chun Shen The Riemann problem for the pressureless Euler system with the Coulomb-like friction term . . . . . . . . . . . . . 76--99 Rodrigo Meneses and Oscar Orellana On a Sturm--Liouville problem with spectral and physical parameters in boundary conditions . . . . . . . . . . 100--131 Zhengdong Du and Weinian Zhang and Shengfu Deng Approximation to invariant manifolds under pseudo-hyperbolicity . . . . . . . 132--151 Peter Grindrod and Ebrahim L. Patel Phase locking to the $n$-torus . . . . . 152--164 Xie Li and Zhaoyin Xiang On an attraction-repulsion chemotaxis system with a logistic source . . . . . 165--198
V. I. Fabrikant Contact problem for a transversely isotropic half-space limited by a plane perpendicular to its planes of isotropy 199--227 Meng Cao and A. J. Roberts Multiscale modelling couples patches of non-linear wave-like simulations . . . . 228--254 Yonggang Zhao and Mingxin Wang Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients . . . . 255--280 Thomas W. Carr An SIRS epidemic model with a rapidly decreasing probability for immunity . . 281--307 J. D. Gibbon High-low frequency slaving and regularity issues in the $3$D Navier--Stokes equations . . . . . . . . 308--320 Jinliang Wang and Ran Zhang and Toshikazu Kuniya The dynamics of an SVIR epidemiological model with infection age . . . . . . . . 321--343 Rui M. P. Almeida and Stanislav N. Antontsev and José C. M. Duque and Jorge Ferreira A reaction-diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions . . 344--364 Sergei Rogosin and Gennady Mishuris Constructive methods for factorization of matrix-functions . . . . . . . . . . 365--391
Alan R. Champneys and Darren Crowdy and Demetrius Papageorgiou Some highlights from 50 years of the \booktitleIMA Journal of Applied Mathematics . . . . . . . . . . . . . . 393--408 Eric L. Lai and Daniel Moyer and Baichuan Yuan and Eric Fox and Blake Hunter and Andrea L. Bertozzi and P. Jeffrey Brantingham Topic time series analysis of microblogs 409--431 S. Feng and P. Holmes Will big data yield new mathematics? An evolving synergy with neuroscience . . . 432--456 E. Knobloch Localized structures and front propagation in systems with a conservation law . . . . . . . . . . . . 457--487 T. J. Pedley Spherical squirmers: models for swimming micro-organisms . . . . . . . . . . . . 488--521 Michael Renardy and Yuriko Renardy Thixotropy in yield stress fluids as a limit of viscoelasticity . . . . . . . . 522--537 Alan R. Champneys and Péter L. Várkonyi The Painlevé paradox in contact mechanics 538--588 D. G. Crowdy and E. H. Kropf and C. C. Green and M. M. S. Nasser The Schottky--Klein prime function: a theoretical and computational tool for applications . . . . . . . . . . . . . . 589--628
Alan Champneys and Mike Jeffrey and Mario di Bernardo and Yulia Kyrychko `Advances in applied nonlinear mathematics': a special issue in honour of John Hogan's 60th birthday . . . . . 629--630 Raphael Stuhlmeier and Michael Stiassnie Adapting Havelock's wave-maker theorem to acoustic-gravity waves . . . . . . . 631--646 D. R. G. Chillingworth Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals . . . . . . . . 647--661 Haibo Jiang and Marian Wiercigroch Geometrical insight into non-smooth bifurcations of a soft impact oscillator 662--678 J. R. Ockendon and J. R. Barber A model for thermoelastic contact oscillations . . . . . . . . . . . . . . 679--687 Niliana Carrero and Carles Batlle and Enric Fossas Averaged dynamics of a coupled-inductor boost converter under sliding mode control using a piecewise linear complementarity model . . . . . . . . . 688--698 Paul Glendinning Bifurcation from stable fixed point to $2$D attractor in the border collision normal form . . . . . . . . . . . . . . 699--710 Paul Glendinning and Piotr Kowalczyk and Arne B. Nordmark Multiple attractors in grazing-sliding bifurcations in Filippov-type flows . . 711--722
J. S. Marshall Exact solutions describing the injection-driven growth of a doubly-periodic fluid region in a Hele--Shaw cell . . . . . . . . . . . . 723--749 Amnah M. Alharbi and Nigel H. Scott Wave stability in anisotropic generalized temperature-rate-dependent thermoelasticity . . . . . . . . . . . . 750--778 Houssem Haddar and Jing Rebecca Li and Simona Schiavi Adapting the Kärger model to account for finite diffusion-encoding pulses in diffusion MRI . . . . . . . . . . . . . 779--794 Lin Zhao and Zhi-Cheng Wang Traveling wave fronts in a diffusive epidemic model with multiple parallel infectious stages . . . . . . . . . . . 795--823 Neelam Gupta and V. D. Sharma Diffraction of a weak shock by a wedge in a van der Waals gas . . . . . . . . . 824--841 Robert J. Elliott and Leunglung Chan and Tak Kuen Siu Pricing options in a Markov regime switching model with a random acceleration for the volatility . . . . 842--859 Tobias Black and Johannes Lankeit and Masaaki Mizukami On the weakly competitive case in a two-species chemotaxis model . . . . . . 860--876 K. Kumar and M. Neuss-Radu and I. S. Pop Homogenization of a pore scale model for precipitation and dissolution in porous media . . . . . . . . . . . . . . . . . 877--897 Magnus Redeker and Christian Rohde and Iuliu Sorin Pop Upscaling of a tri-phase phase-field model for precipitation in porous media 898--939 P. D. Towers and Z. Hussain and P. T. Griffiths and S. J. Garrett Viscous modes within the compressible boundary-layer flow due to a broad rotating cone . . . . . . . . . . . . . 940--960
Xavier Claeys Essential spectrum of local multi-trace boundary integral operators . . . . . . 961--983 G. C. Hocking and S. L. Mitchell A model of flow in a sugar diffuser . . 984--998 L. L. Hattam and S. R. Clarke Steady periodic solutions of a variable coefficient KS-KdV equation . . . . . . 999--1019 Fadhel Al-Musallam and Durga Prasad Challa and Mourad Sini The equivalent medium for the elastic scattering by many small rigid bodies and applications . . . . . . . . . . . . 1020--1050 Francesco Maddalena and Danilo Percivale and Franco Tomarelli Local and non-local energies in adhesive interaction . . . . . . . . . . . . . . 1051--1075 K. P. Soldatos and A. F. Farhat On Reissner's displacement field in modelling thin elastic plates with embedded fibres resistant in bending . . 1076--1095 Wei Luo and Zhaoyang Yin Global existence of weak solutions for a three-component Camassa--Holm system with $N$-peakon solutions . . . . . . . 1096--1111 Anna Y. Zemlyanova Curvilinear mode-I/mode-II interface fracture with a curvature-dependent surface tension on the boundary . . . . 1112--1136 Jia Gou and Wayne Nagata and Yue-Xian Li Interaction of in-phase and anti-phase synchronies in a coupled compartment-bulk diffusion model at a double Hopf bifurcation . . . . . . . . 1137--1162 Z. Navickas and R. Marcinkevicius and T. Telksnys and M. Ragulskis Existence of second order solitary solutions to Riccati differential equations coupled with a multiplicative term . . . . . . . . . . . . . . . . . . 1163--1190 B. Maling and R. V. Craster Asymptotic analysis of a Bragg fibre: a multiple scales approach . . . . . . . . 1191--1208
Nathaniel S. Barlow and Brian T. Helenbrook and Steven J. Weinstein Algorithm for spatio-temporal analysis of the signalling problem . . . . . . . 1--32 Qiang Zhen and Johan S. H. van Leeuwaarden and Charles Knessl On the sojourn time distribution in a finite population Markovian processor sharing queue . . . . . . . . . . . . . 33--59 J. L. Dunster and J. R. King Mathematical modelling of thrombin generation: asymptotic analysis and pathway characterization . . . . . . . . 60--96 Xianguo Geng and Hui Wang Algebro-geometric constructions of quasi-periodic flows of the Newell hierarchy and applications . . . . . . . 97--130 Monika Pichler and Gino Biondini On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles . . . . . . 131--151 Benjamin Armbruster and Ekkehard Beck An elementary proof of convergence to the mean-field equations for an epidemic model . . . . . . . . . . . . . . . . . 152--157 Susana N. Gomes and Demetrios T. Papageorgiou and Grigorios A. Pavliotis Stabilizing non-trivial solutions of the generalized Kuramoto--Sivashinsky equation using feedback and optimal control: Lighthill--Thwaites Prize . . . 158--194 A. Rachah and D. Noll and F. Espitalier and F. Baillon Mathematical modelling for solvated crystallization . . . . . . . . . . . . 195--223 Pietro Artale Harris and Emilio N. M. Cirillo and Adrian Muntean Weak solutions to Allen--Cahn-like equations modelling consolidation of porous media . . . . . . . . . . . . . . 224--250
Jonathan P. Black and Christopher J. W. Breward and Peter D. Howell Quantum mechanical effects in continuum charge flow models . . . . . . . . . . . 251--279 Lorna J. Ayton An analytic solution for gust--aerofoil interaction noise including effects of geometry . . . . . . . . . . . . . . . . 280--304 John Craske The properties of integral models for planar and axisymmetric unsteady jets 305--333 Andaluzia Matei and Mircea Sofonea A mixed variational formulation for a piezoelectric frictional contact problem 334--354 Stephen M. Cox and Jun Yu and Wang Ling Goh and Meng Tong Tan Analysis of a hysteresis-controlled self-oscillating class-D amplifier . . . 355--370 Ciprian S. Borcea and Ileana Streinu Deforming diamond . . . . . . . . . . . 371--383 Ming Dai and Cun-Fa Gao and Peter Schiavone Closed-form solution for a circular nano-inhomogeneity with interface effects in an elastic plane under uniform remote heat flux . . . . . . . . 384--395 Meng Liu and Meng Fan Stability in distribution of a three-species stochastic cascade predator-prey system with time delays 396--423 Bin Wu and Jun Yu Hölder stability of an inverse problem for a strongly coupled reaction--diffusion system . . . . . . . 424--444 Qiaoling Chen and Fengquan Li and Feng Wang A reaction--diffusion--advection competition model with two free boundaries in heterogeneous time-periodic environment . . . . . . . 445--470 D. R. J. Chillingworth Erratum to Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals . . . 471--471
Ellen A. Murphy and William T. Lee Mathematical modelling of contact lens moulding . . . . . . . . . . . . . . . . 473--495 Anna P. Chugainova and Andrey T. Il'ichev and Andrey G. Kulikovskii and Vladimir A. Shargatov Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution . . . . . . . . . . . . 496--525 Brendan J. Florio and Andrew P. Bassom and Konstantinos Sakellariou and Thomas Stemler Interacting convection modes in a saturated porous medium of nearly square planform: four modes . . . . . . . . . . 526--547 Thomas P. Wihler Animal population social structure models . . . . . . . . . . . . . . . . . 548--560 Tiago Carvalho and Rodrigo D. Euzébio and Marco Antonto Teixeira and Durval José Tonon Birth of limit cycles from a $3$D triangular center of a piecewise smooth vector field . . . . . . . . . . . . . . 561--578 Zhidong Zhang and Zhi Zhou Recovering the potential term in a fractional diffusion equation . . . . . 579--600 Yalin Zhang and Guoliang Shi The distributions of some transmission eigenvalues in one dimension . . . . . . 601--628 Junyuan Yang and Yuming Chen and Toshikazu Kuniya Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence . . . . . . . . . . 629--655 M. H. B. M. Shariff and R. Bustamante and J. Merodio On the spectral analysis of residual stress in finite elasticity . . . . . . 656--680 Jonathan A. D. Wattis Shape of transition layers in a differential-delay equation . . . . . . 681--696
C. Boldrighini and S. Frigio and P. Maponi On the blow-up of some complex solutions of the $3$D Navier--Stokes equations: theoretical predictions and computer simulations . . . . . . . . . . . . . . 697--716 J. A. Leach A note on the large-time development of the solution to an initial-value problem for a variable coefficient Korteweg--de Vries equation . . . . . . . . . . . . . 717--725 Isabell Konrad and Malte A. Peter and John M. Stockie A two-scale Stefan problem arising in a model for tree sap exudation . . . . . . 726--762 Dietmar Hömberg and Francesco Saverio Patacchini and Kenichi Sakamoto and Johannes Zimmer A revisited Johnson--Mehl--Avrami--Kolmogorov model and the evolution of grain-size distributions in steel . . . . . . . . . 763--780 James Cowley and Anthony J. Mulholland and Anthony Gachagan A nonlinear elasticity approach to modelling the collapse of a shelled microbubble . . . . . . . . . . . . . . 781--801 R. H. J. Grimshaw and K. R. Khusnutdinova and K. R. Moore Radiating solitary waves in coupled Boussinesq equations . . . . . . . . . . 802--820 Alex Doak and Jean-Marc Vanden-Broeck Solitary gravity waves and free surface flows past a point vortex . . . . . . . 821--835 Hui Zhao and Hongjiong Tian Finite difference methods of the spatial fractional Black--Scholes equation for a European call option . . . . . . . . . . 836--848 Denis de Carvalho Braga and Tiago Carvalho and Luis Fernando Mello Limit cycles bifurcating from discontinuous centres . . . . . . . . . 849--863 Shangjiang Guo Spatio-temporal patterns in a diffusive model with non-local delay effect . . . 864--908
Hengfei Ding and Changpin Li and Qian Yi A new second-order midpoint approximation formula for Riemann--Liouville derivative: algorithm and its application . . . . . . . . . . 909--944 Jinliang Wang and Min Guo and Shengqiang Liu SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse . . . . . . . . . . . . . . 945--970 A. J. Roberts and J. E. Bunder Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains . . . . . . . . . . . . . . . . 971--1012 Xiaofei Li and Jingzhi Li and Hongyu Liu and Yuliang Wang Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking . . . . . 1013--1042 Bin Liu and Hai Huyen Heidi Dam and Kok Lay Teo and David John Hill $ \mathcal {KL}_* $-stability for a class of hybrid dynamical systems . . . 1043--1060 C. Muriel and J. L. Romero and A. Ruiz $ \lambda $-Symmetries and integrability by quadratures . . . . . . . . . . . . . 1061--1087 Xu Wang and Peter Schiavone Surface instability of imperfectly bonded multi-layered curved films under van der Waals forces . . . . . . . . . . 1088--1103 Michael Pedneault and Catalin Turc and Yassine Boubendir Schur complement domain decomposition methods for the solution of multiple scattering problems . . . . . . . . . . 1104--1134
Alan J. Walker and Anthony J. Mulholland A pipe organ-inspired ultrasonic transducer . . . . . . . . . . . . . . . 1135--1150 Daniel J. Ratliff On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain 1151--1170 Yanjiao Wang and Feng Ding A filtering based multi-innovation gradient estimation algorithm and performance analysis for nonlinear dynamical systems . . . . . . . . . . . 1171--1191 Susana N. Gomes and Stephen James Tate On the numerical solution of a $T$-Sylvester type matrix equation arising in the control of stochastic partial differential equations . . . . . 1192--1208 Ranjit Kumar Upadhyay and Swati Mishra and Rana D. Parshad and Jingjing Lyu and Aladeen Al Basheer Investigation of an explosive food chain model with interference and inhibitory effects . . . . . . . . . . . . . . . . 1209--1237 Artur Sowa Riemann's zeta function and the broadband structure of pure harmonics 1238--1252 Lewis Roberts and Thom Griffith and Alan Champneys and Martina Piano and Janice Kiely and Richard Luxton Mathematical modelling of a magnetic immunoassay . . . . . . . . . . . . . . 1253--1282 Philippe Destuynder and Caroline Fabre On control strategies for avoiding loss of information in non-destructive testing . . . . . . . . . . . . . . . . 1283--1302
Alexander Khapalov and Sergey Lapin Dynamic discrete models for the granular matter formation process . . . . . . . . 1--23 Qiming Wang and Demetrios T. Papageorgiou Using electric fields to induce patterning in leaky dielectric fluids in a rod-annular geometry . . . . . . . . . 24--52 Mikhail A. Lyalinov Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions . . . . . . . . . . . . . . . 53--91 M. A. Bastos and P. A. Lopes and A. F. dos Santos Factorization of a class of $ 2 \times 2 $ matrix symbols by reduction to a scalar factorization . . . . . . . . . . 92--105 Ferran Brosa Planella and Colin P. Please and Robert A. Van Gorder Instability in the self-similar motion of a planar solidification front . . . . 106--130 Arman Rabieifar and Mehdi Pourseifi and Hesameldien Derili Transient analysis for torsional impact of multiple axisymmetric cracks in the functionally graded orthotropic medium 131--147 Huan Liu and Xianguo Geng The vector derivative nonlinear Schrödinger equation on the half-line . . 148--173 Abdullah Madhi Alsharif Drop formation and break-up of rotating viscoelastic liquid jets in the Giesekus model . . . . . . . . . . . . . . . . . 174--187 Michael A. Page and Stephen J. Cowley On the formation of small-time curvature singularities in vortex sheets . . . . . 188--203 A. Fernandez and E. A. Spence and A. S. Fokas Uniform asymptotics as a stationary point approaches an endpoint . . . . . . 204--242
Michael Doschoris and Foteini Kariotou Quantifying errors during the source localization process in electroencephalography for confocal systems . . . . . . . . . . . . . . . . 243--260 Olga Chugreeva and Christof Melcher Strong solvability of regularized stochastic Landau--Lifshitz--Gilbert equation . . . . . . . . . . . . . . . . 261--282 Yan Wang and Jun Guo and Guozheng Yan The factorization method for the inverse obstacle scattering problem with oblique derivative boundary condition . . . . . 283--301 Robert Denk and Felix Kammerlander Exponential stability for a coupled system of damped--undamped plate equations . . . . . . . . . . . . . . . 302--322 V. Bykov and Y. Cherkinsky and V. Gol'dshtein and N. Krapivnik and U. Maas Singularly perturbed profiles . . . . . 323--346
Chen Chen and A. J. Roberts and J. E. Bunder Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity . . . . . . . . . . . . . 347--379 Takashi Sakajo and Tomoo Yokoyama Tree representations of streamline topologies of structurally stable $2$D incompressible flows . . . . . . . . . . 380--411 Joanna Bara\'nska and Yuri Kozitsky The global evolution of states of a continuum Kawasaki model with repulsion 412--435 Tao Gao and Jean-Marc Vanden-Broeck and Zhan Wang Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth . . . . . . . . . . . . . . . . . 436--450 H. V. J. Le Meur Derivation of a viscous KP equation including surface tension, and related equations . . . . . . . . . . . . . . . 451--470 Ekin Deliktas and Mevlut Teymur Surface shear horizontal waves in a double-layered nonlinear elastic half space . . . . . . . . . . . . . . . . . 471--495 Avy Soffer and Xiaofei Zhao Modulation equations approach for solving vortex and radiation in nonlinear Schrödinger equation . . . . . 496--513 Andrew Lazowski and Stephen Shea The effects on monotonicity when combining alternative vote with plurality . . . . . . . . . . . . . . . 514--525 Raimund Bürger and Julio Careaga and Stefan Diehl Flux identification of scalar conservation laws from sedimentation in a cone . . . . . . . . . . . . . . . . . 526--552
David J. Smith and Timothy J. Pedley and Darren G. Crowdy Special issue in honour of Professor John Blake FIMA CMath . . . . . . . . . 553--555 Werner Lauterborn and Christiane Lechner and Max Koch and Robert Mettin Bubble models and real bubbles: Rayleigh and energy-deposit cases in a Tait-compressible liquid . . . . . . . . 556--589 Justas Dauparas and Eric Lauga Leading-order Stokes flows near a corner 590--633 Hermes Gadêlha The filament-bundle elastica . . . . . . 634--654 Kenta Ishimoto and Eamonn A. Gaffney An elastohydrodynamical simulation study of filament and spermatozoan swimming driven by internal couples . . . . . . . 655--679 Blaise Delmotte and Eric E. Keaveny and Eric Climent and Franck Plouraboué Simulations of Brownian tracer transport in squirmer suspensions . . . . . . . . 680--699 Julius B. Kirkegaard and Raymond E. Goldstein The role of tumbling frequency and persistence in optimal run-and-tumble chemotaxis . . . . . . . . . . . . . . . 700--719 Michael Gravatt and Vinod Suresh and Alys Clark and Richard Clarke Importance of irrotational components of swimming flows on the stability of a suspension of weakly-squirming microorganisms . . . . . . . . . . . . . 720--742 W. Clifton and R. N. Bearon and M. A. Bees Enhanced sedimentation of elongated plankton in simple flows . . . . . . . . 743--766 Daiki Matsunaga and Andreas Zöttl and Fanlong Meng and Ramin Golestanian and Julia M. Yeomans Far-field theory for trajectories of magnetic ellipsoids in rectangular and circular channels . . . . . . . . . . . 767--782 C. E. Brennen and G. Keady and J. Imberger A note on algal population dynamics . . 783--796
Alan R. Champneys Introduction . . . . . . . . . . . . . . 797--798 Doireann O'Kiely and Chris J. W. Breward and Ian M. Griffiths and Peter D. Howell and Ulrich Lange Glass sheet redraw through a long heater zone . . . . . . . . . . . . . . . . . . 799--820 Nabil T. Fadai and Zahra Akram and Fabien Guilmineau and John Melrose and Colin P. Please and Robert A. Van Gorder The influence of distributed chemical reaction groups in a multiphase coffee bean roasting model . . . . . . . . . . 821--848 Oliver Allanson and Sascha Troscheit and Thomas Neukirch On the inverse problem for Channell collisionless plasma equilibria . . . . 849--873 Z. M. Wilmott and C. J. W. Breward and S. J. Chapman Slip flow through channels with varying elliptic cross section . . . . . . . . . 874--893
Matt R. A. Maji\'c and Baptiste Auguié and Eric C. Le Ru Laplace's equation for a point source near a sphere: improved internal solution using spheroidal harmonics . . 895--907 Héctor M. Moya-Cessa and Francisco Soto-Eguibar Discrete fractional Fourier transform: Vandermonde approach . . . . . . . . . . 908--916 Elena Luca and Jonathan Marshall and Georgios Karamanis Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction . . 917--941 Elena Luca and Darren G. Crowdy A transform method for the biharmonic equation in multiply connected circular domains . . . . . . . . . . . . . . . . 942--976 Leonid Berlyand and Vladimir Mityushev and Shawn D. Ryan Multiple Ginzburg--Landau vortices pinned by randomly distributed small holes . . . . . . . . . . . . . . . . . 977--1006 Alessio Falocchi Torsional instability in a nonlinear isolated model for suspension bridges with fixed cables and extensible hangers 1007--1036 Dongxue Yan and Xianlong Fu Analysis of an age-structured HIV infection model with logistic target-cell growth and antiretroviral therapy . . . . . . . . . . . . . . . . 1037--1065 Liuyang Feng and Nan Qi and Hao Gao and Wei Sun and Mariano Vazquez and Boyce E. Griffith and Xiaoyu Luo On the chordae structure and dynamic behaviour of the mitral valve . . . . . 1066--1091 Stephen R. Rickaby and Nigel H. Scott On the complex singularities of the inverse Langevin function . . . . . . . 1092--1116
N. F. J. van Rensburg and B. Stapelberg Existence and uniqueness of solutions of a general linear second-order hyperbolic problem . . . . . . . . . . . . . . . . 1--22 Samit Bhattacharyya and Timothy Reluga Game dynamic model of social distancing while cost of infection varies with epidemic burden . . . . . . . . . . . . 23--43 William Tong and Holger R. Dullin Using the geometric phase to optimize planar somersaults . . . . . . . . . . . 44--62 María Anguiano and Francisco Javier Suárez-Grau Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary . . . . . . . . . . . . 63--95 Abdullah Madhi Alsharif and Stephen P. Decent and Emilian I. Parau and Mark J. H. Simmons and Jamal Uddin The trajectory of slender curved liquid jets for small Rossby number . . . . . . 96--117 Nobumasa Sugimoto Marginal conditions for the onset of thermoacoustic oscillations due to instability of heat flow . . . . . . . . 118--144 Qihuai Liu and Pedro J. Torres and Mingyan Xing Modulated amplitude waves with non-trivial phase of multi-component Bose--Einstein condensates in optical lattices . . . . . . . . . . . . . . . . 145--170 Yang Wang and Lingling Shi and Guirong Liu and Zhaohai Ma The uniqueness and stability of travelling fronts of competitive systems with different diffusive coefficients 171--196 Jingli Ren and Dandan Zhu On a reaction--advection--diffusion equation with double free boundaries and $m$ th-order Fisher non-linearity . . . 197--227
Jingzhi Li and Hongyu Liu and Hongpeng Sun On an inverse elastic wave imaging scheme for nearly incompressible materials . . . . . . . . . . . . . . . 229--257 Nguyen Huy Tuan and Daniel Lesnic and Tran Quoc Viet and Vo Van Au Regularization of the semilinear sideways heat equation . . . . . . . . . 258--291 Leonidas Mindrinos The electromagnetic scattering problem by a cylindrical doubly connected domain at oblique incidence: the direct problem 292--311 Cristina V. Sargent and A. J. Mestel Trapped modes of the Helmholtz equation in infinite waveguides with wall indentations and circular obstacles . . 312--344 V. B. Zelentsov and B. I. Mitrin and I. A. Lubyagin and I. I. Kudish Diagnostics of wear thermoelastic instability based on sliding contact parameter monitoring . . . . . . . . . . 345--365 Josef Adam Giddings and John Billingham The effect of inclination on the development of slugging in channel flow 366--384 Robert J. Whittaker and Simon Cox Stability of a twisted Plateau border with line tension and bending stiffness 385--415 B. Ambrosio and M. A. Aziz-Alaoui and V. L. E. Phan Large time behaviour and synchronization of complex networks of reaction-diffusion systems of FitzHugh--Nagumo type . . . . . . . . . 416--443 Charles Hagwood and George Mulholland Limiting dynamics for a rotating system 444--453
Nicholas F. Marshall and Ronald R. Coifman Manifold learning with bi-stochastic kernels . . . . . . . . . . . . . . . . 455--482 Gino I. Montecinos and Juan C. López-Ríos and Jaime H. Ortega and Rodrigo Lecaros A numerical procedure and coupled system formulation for the adjoint approach in hyperbolic PDE-constrained optimization problems . . . . . . . . . . . . . . . . 483--516 Anthony Kay The thermal boundary layer due to viscous dissipation in impulsively started Poiseuille flow . . . . . . . . 517--532 Michael Vynnycky and Sean McKee and Martin Meere and Christopher McCormick and Sean McGinty Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities . . . . . . . . . . . . . 533--554 Xu Wang and Liang Chen and Peter Schiavone An elastic harmonic inclusion near a rigid harmonic inclusion loaded by a couple . . . . . . . . . . . . . . . . . 555--566 Ho-Chul Shin Image conditions and addition theorems for prolate and oblate spheroidal-coordinate separation-of-variables acoustic multiple scattering models with perfectly-reflecting flat surfaces . . . 567--604 Ebrahem A. Algehyne and Anthony J. Mulholland Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales . . . . . . . . . . . . . 605--631 Nicola Y. Bailey and Stephen Hibberd and Michael V. Tretyakov and Henry Power Effect of random forcing on fluid-lubricated bearing . . . . . . . . 632--649 K. Gautam and P. A. L. Narayana and A. A. Hill Thermo-convective carbon sequestration in horizontal porous layers . . . . . . 650--668
Lennon Ó Náraigh and Khang Ee Pang A mathematical framework for determining the stability of steady states of reaction--diffusion equations with periodic source terms . . . . . . . . . 669--678 Linda S. L. Tan Explicit inverse of tridiagonal matrix with applications in autoregressive modelling . . . . . . . . . . . . . . . 679--695 Qianxi Wang and WenKe Liu and David M. Leppinen and A. D. Walmsley Microbubble dynamics in a viscous compressible liquid near a rigid boundary . . . . . . . . . . . . . . . . 696--711 JinRong Wang and Mengmeng Li and Donal O'Regan Lyapunov regularity and stability of linear non-instantaneous impulsive differential systems . . . . . . . . . . 712--747 Carlo Greco Uniqueness of director configuration states for liquid crystals in the case of weak anchoring . . . . . . . . . . . 748--762 D. S. Almeida Júnior and I. Elishakoff and A. J. A. Ramos and L. G. Rosário Miranda The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases 763--796 E. El Behi-Gornostaeva and K. Mitra and B. Schweizer Traveling wave solutions for the Richards equation with hysteresis . . . 797--812 Ory Schnitzer Geometric quantization of localized surface plasmons . . . . . . . . . . . . 813--832
Rinaldo M. Colombo and Elena Rossi Modelling crowd movements in domains with boundaries . . . . . . . . . . . . 833--853 Ozge Ozcakir and Philip Hall and Saleh Tanveer Centre modes in pipe flow . . . . . . . 854--872 Marianna A. Shubov and Laszlo P. Kindrat Asymptotics of the eigenmodes and stability of an elastic structure with general feedback matrix . . . . . . . . 873--911 P. A. Martin Two-dimensional Brinkman flows and their relation to analogous Stokes flows . . . 912--929 Raimund Bürger and Stefan Diehl and María del Carmen Martí A system of conservation laws with discontinuous flux modelling flotation with sedimentation . . . . . . . . . . . 930--973 Guillaume Cantin and M. A. Aziz-Alaoui and Nathalie Verdi\`ere Large-time dynamics in complex networks of reaction-diffusion systems applied to a panic model . . . . . . . . . . . . . 974--1000 Mustafa Sayli and Yi Ming Lai and Rüdiger Thul and Stephen Coombes Synchrony in networks of Franklin bells 1001--1021 D. A. Edwards and M. E. Mackay and Z. R. Swain and C. R. Banbury and D. D. Phan Maximal $3$D printing extrusion rates 1022--1043 Athanasios S. Fokas and Beatrice Pelloni and Baoqiang Xia Evolution equations on time-dependent intervals . . . . . . . . . . . . . . . 1044--1060
Antonio Di Crescenzo and Claudio Macci and Barbara Martinucci and Serena Spina Analysis of random walks on a hexagonal lattice . . . . . . . . . . . . . . . . 1061--1081 G. Baravdish and O. Svensson and M. Gulliksson and Y. Zhang Damped second order flow applied to image denoising . . . . . . . . . . . . 1082--1111 Ruben J. Tomlin and Susana N. Gomes Point-actuated feedback control of multidimensional interfaces . . . . . . 1112--1142 Etienne Emmrich and Robert Lasarzik Existence of weak solutions to a dynamic model for smectic-A liquid crystals under undulations . . . . . . . . . . . 1143--1176 V. Bouet and A. Y. Klimenko Graph clustering in industrial networks 1177--1202 Anthony Radjen and Gabriele Gradoni and Richard Tew Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries 1203--1219
Romulo Brito da Silva and I-Shih Liu and Mauro Antonio Rincon A theory of porous media and harmonic wave propagation in poroelastic body . . 1--26 Guillaume James and Kirill Vorotnikov and Bernard Brogliato Kuwabara--Kono numerical dissipation: a new method to simulate granular matter 27--66 V. Bykov and Y. Cherkinsky and V. Gol'dshtein and N. Krapivnik and U. Maas Fast--slow vector fields of reaction--diffusion systems . . . . . . 67--86 Mikhail A. Lyalinov Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions, II: the far-field asymptotics . . . . . . . . . . . . . . 87--112 Peter T. Wootton and Julius Kaplunov and Danila Prikazchikov A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane . . . . . . . . . . . . . . . 113--131 Anouk Nicolopoulos and Martin Campos Pinto and Bruno Després and Patrick Ciarlet, Jr. Degenerate elliptic equations for resonant wave problems . . . . . . . . . 132--159 V. Bouet and A. Y. Klimenko Erratum to: Graph clustering in industrial networks . . . . . . . . . . 160--160
Matthew J. Russell and Oliver E. Jensen Homogenization approximations for unidirectional transport past randomly distributed sinks . . . . . . . . . . . 231--262 Siew-Wan Ohl and Md Haiqal Haqim Bin Md. Rahim and Evert Klaseboer and Boo Cheong Khoo Blake, bubbles and boundary element methods . . . . . . . . . . . . . . . . 190--213 Naoki Masuda and Victor M. Preciado and Masaki Ogura Analysis of the susceptible-infected-susceptible epidemic dynamics in networks via the non-backtracking matrix . . . . . . . . 214--230 Mark Ainsworth and Zhiping Mao Fractional phase-field crystal modelling: analysis, approximation and pattern formation . . . . . . . . . . . 231--262 P. T. Griffiths Non-Newtonian channel flow-exact solutions . . . . . . . . . . . . . . . 263--279 Hongxia Guo and Changfeng Gui and Ping Lin and Mingfeng Zhao Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities 280--308 Colin Huber and Meaghan Hoitt and Nathaniel S. Barlow and Nicole Hill and Kimberlee Keithley and Steven J. Weinstein On the stability of waves in classically neutral flows . . . . . . . . . . . . . 309--340 Romulo Brito da Silva and I-Shih Liu and Mauro Antonio Rincon Erratum to: A theory of porous media and harmonic wave propagation in poroelastic body . . . . . . . . . . . . . . . . . . 341--341
Julien Dambrine and Evi Noviani and Morgan Pierre Rankine-type cylinders having zero wave resistance in infinitely deep flows . . 343--364 Mian Wang and Zhan Wang and Hennes Hajduk Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves . . . . . . . . . . . . . . . . . 365--384 K. M. Devine and M. Vynnycky and S. L. Mitchell and S. B. G. O'Brien Analysis of a model for the formation of fold-type oscillation marks in the continuous casting of steel . . . . . . 385--420 M. A. Nethercote and R. C. Assier and I. D. Abrahams High-contrast approximation for penetrable wedge diffraction . . . . . . 421--466 Lukasz P\lociniczak Asymptotic analysis of internal relaxation oscillations in a conceptual climate model . . . . . . . . . . . . . 467--494 Aaron Bardall and Shih-Yuan Chen and Karen E. Daniels and Michael Shearer Gradient-induced droplet motion over soft solids . . . . . . . . . . . . . . 495--512
Laurent Charette and Colin B. Macdonald and Wayne Nagata Pattern formation in a slowly flattening spherical cap: delayed bifurcation . . . 513--541 H. Y. Yu and Sanboh Lee Time-harmonic elastic singularities and oscillating indentation of layered solids . . . . . . . . . . . . . . . . . 542--563 Jakub Köry and Armin U. Krupp and Colin P. Please and Ian M. Griffiths The effect of compressibility on the behaviour of filter media . . . . . . . 564--583 Gopal Krishna Kamath and Krishna Jagannathan and Gaurav Raina Impact of delayed acceleration feedback on the classical car-following model . . 584--604 Theodore Kolokolnikov and Frédéric Paquin-Lefebvre and Michael J. Ward Stable asymmetric spike equilibria for the Gierer--Meinhardt model with a precursor field . . . . . . . . . . . . 605--634 Jui-Pin Tseng Global synchronization of coupled reaction--diffusion neural networks with general couplings via an iterative approach . . . . . . . . . . . . . . . . 635--669
Alan Champneys Introduction to the special issue for the IMA Lighthill--Thwaites Prize . . . 671--672 Matthew D. Butler and Dominic Vella Detachment in capillary adhesion: the relative roles of tilting and separation 673--702 J. G. Williams and L. Rouse and B. W. Turney and S. L. Waters and D. E. Moulton A lumped-parameter model for kidney pressure during stone removal . . . . . 703--723 Linnea C. Franssen and Mark A. J. Chaplain A mathematical multi-organ model for bidirectional epithelial-mesenchymal transitions in the metastatic spread of cancer . . . . . . . . . . . . . . . . . 724--761 Maximilian F. Eggl and Peter J. Schmid Shape optimization of stirring rods for mixing binary fluids . . . . . . . . . . 762--789 Matthew J. Colbrook and Matthew J. Priddin Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions) . . . . . . . . . . . . . . 790--821
Xiaoxu Xu and Bo Zhang and Haiwen Zhang Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency . . 823--839 Yu Jiang and Gen Nakamura and Haibing Wang Locating small inclusions in diffuse optical tomography by a direct imaging method . . . . . . . . . . . . . . . . . 840--864 Richard C. Barnard and Kai Huang and Cory Hauck A mathematical model of asynchronous data flow in parallel computers . . . . 865--891 Vincent Huang and James Unwin Markov chain models of refugee migration data . . . . . . . . . . . . . . . . . . 892--912 Chein-Shan Liu and Chih-Wen Chang Reducing the near boundary errors of nonhomogeneous heat equations by boundary consistent methods . . . . . . 913--932 Michele Di Cristo and Giacomo Milan Reconstruction of inclusions in electrical conductors . . . . . . . . . 933--950 Michele Coti Zelati and Grigorios A. Pavliotis Homogenization and hypocoercivity for Fokker--Planck equations driven by weakly compressible shear flows . . . . 951--979 Weifan Liu and Thomas P. Witelski Steady states of thin film droplets on chemically heterogeneous substrates . . 980--1020 Eleanor C. Johnstone and Philip Hall Free-stream coherent structures in the unsteady Rayleigh boundary layer . . . . 1021--1040
Jianli Xiang and Guozheng Yan The inverse elastic scattering by an impenetrable obstacle and a crack . . . 1--29 T. S. Jang A new solution approach to the Serre equations . . . . . . . . . . . . . . . 30--57 A. Alhushaybari and J. Uddin Convective and absolute instability of falling viscoelastic liquid jets surrounded by a gas . . . . . . . . . . 58--75 Kgomotso S. Morupisi and Chris Budd An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems . . . . . . 76--120 Penny J. Davies and Ingolf Sack A stacked frequency approach for inhomogeneous time-dependent MRE: an inverse problem for the elastic shear modulus . . . . . . . . . . . . . . . . 121--145 Junshan Lin and Sang-Hyun Oh and Hai Zhang Sensitivity of resonance frequency in the detection of thin layer using nano-slit structures . . . . . . . . . . 146--164 Ian Holloway and Sivaguru S. Sritharan Compressible Euler equations on a sphere and elliptic-hyperbolic property . . . . 165--187 Amy L. L. Middleton and Antal A. Járai and Jonathan H. P. Dawes and Keith Briggs How close is the nearest node in a wireless network? . . . . . . . . . . . 188--219
Lorenzo Baldassari and Andrea Scapin Reconstruction of a small acoustic inclusion via time-dependent polarization tensors . . . . . . . . . . 221--246 Jichen Yang and Jens D. M. Rademacher Reaction--subdiffusion systems and memory: spectra, Turing instability and decay estimates . . . . . . . . . . . . 247--293 Craig Gin and Prabir Daripa Stability results on radial porous media and Hele--Shaw flows with variable viscosity between two moving interfaces 294--319 Bo Yang and Jianke Yang General rogue waves in the three-wave resonant interaction systems . . . . . . 378--425 K. M. Devine and M. Vynnycky and S. L. Mitchell and S. B. G. O'Brien A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel . . . . . . . . . . . . . . . . . 349--377 Pu-Zhao Kow and Jenn-Nan Wang Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background . . . . . . . . . . . . . . . 320--348
Zhenya Yan An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval . . . . . . . . . . . . . . . . 427--489 Ehud Yariv and Toby L. Kirk Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles . . . . . . . . . . . . . . . . 490--501 Mimi X. Yang and Fuqian Yang and Sanboh Lee Dielectric breakdown sizes of conducting plates . . . . . . . . . . . . . . . . . 502--513 Raimund Bürger and Julio Careaga and Stefan Diehl A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area . . . . . . 514--546 Grant Keady Steady slip flow of Newtonian fluids through tangential polygonal microchannels . . . . . . . . . . . . . 547--564 R. Quintanilla and K. R. Rajagopal On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies . . . . . . . . . . . . . . . . . 565--576 Zhi-An Wang and Xin Xu Steady states and pattern formation of the density-suppressed motility model 577--603 Vanessa Markaki and Drosos Kourounis and Antonios Charalambopoulos A dual self-monitored reconstruction scheme on the TV-regularized inverse conductivity problem . . . . . . . . . . 604--630
Yijun Wang and Stephen Guzik and Milija Zupanski and Xinfeng Gao The maximum likelihood ensemble filter for computational flame and fluid dynamics . . . . . . . . . . . . . . . . 631--661 Jianli Xiang and Guozheng Yan The factorization method for the scattering by a mixed inhomogeneous medium . . . . . . . . . . . . . . . . . 662--687 Marvin Fritz and Christina Kuttler and Mabel L. Rajendran and Barbara Wohlmuth and Laura Scarabosio On a subdiffusive tumour growth model with fractional time derivative . . . . 688--729 Theodoros P. Horikis Integrable reduction and solitons of the Fokas--Lenells equation . . . . . . . . 730--738 Mostafa Fazly Critical domain sizes of a discrete-map hybrid and reaction-diffusion model on hostile exterior domains . . . . . . . . 739--760 Artur Prugger and Jens D. M. Rademacher Explicit superposed and forced plane wave generalized Beltrami flows . . . . 761--784 L. L. A. de Oliveira and M. V. Travaglia Optimizing the spring constants of forced, damped and circular spring-mass systems-characterization of the discrete and periodic bi-Laplacian operator . . . 785--807 Fahad Al Saadi and Alan Champneys and Annette Worthy and Ahmed Msmali Stationary and oscillatory localized patterns in ratio-dependent predator--prey systems . . . . . . . . . 808--827 Burhan Tiryakioglu and Ayse Tiryakioglu Radiation of sound waves from a coaxial duct with perforated screen . . . . . . 828--844
Alan Champneys Editorial to Homoclinic snaking at 21: in memory of Patrick Woods . . . . . . . 845--855 P. Parra-Rivas and E. Knobloch and L. Gelens and D. Gomila Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities . . . . . . 856--895 Max Philipp Holl and Andrew J. Archer and Svetlana V. Gurevich and Edgar Knobloch and Lukas Ophaus and Uwe Thiele Localized states in passive and active phase-field-crystal models . . . . . . . 896--923 Tobias Frohoff-Hülsmann and Uwe Thiele Localized states in coupled Cahn--Hilliard equations . . . . . . . . 924--943 David C. Bentley and Alastair M. Rucklidge Localized patterns in a generalized Swift--Hohenberg equation with a quartic marginal stability curve . . . . . . . . 944--983 Haifaa Alrihieli and Alastair M. Rucklidge and Priya Subramanian Spatial localization beyond steady states in the neighbourhood of the Takens--Bogdanov bifurcation . . . . . . 984--1009 Rainer M. J. Groh and Giles W. Hunt Localization and snaking in axially compressed and internally pressurized thin cylindrical shells . . . . . . . . 1010--1030 Fahad Al Saadi and Alan Champneys and Nicolas Verschueren Localized patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems . . . . . . . 1031--1065 Edgar Knobloch and Arik Yochelis Stationary peaks in a multivariable reaction--diffusion system: foliated snaking due to subcritical Turing instability . . . . . . . . . . . . . . 1066--1093 Dami\`a Gomila and Edgar Knobloch Curvature effects and radial homoclinic snaking . . . . . . . . . . . . . . . . 1094--1111 Moyi Tian and Jason J. Bramburger and Björn Sandstede Snaking bifurcations of localized patterns on ring lattices . . . . . . . 1112--1140 Cris R. Hasan and Hinke M. Osinga and Claire M. Postlethwaite and Alastair M. Rucklidge Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance . . . . . . . . . . . . . . . 1141--1163 Priya Subramanian and Andrew J. Archer and Edgar Knobloch and Alastair M. Rucklidge Snaking without subcriticality: grain boundaries as non-topological defects 1164--1180
Fredrik Berntsson and Jennifer Chepkorir and Vladimir Kozlov Accelerated Dirichlet--Robin alternating algorithms for solving the Cauchy problem for the Helmholtz equation . . . 1181--1203 Grant Keady Torsional rigidity for tangential polygons . . . . . . . . . . . . . . . . 1204--1211 Stéphane Balac and Monique Dauge and Zo\"\is Moitier Asymptotics for $2$D whispering gallery modes in optical micro-disks with radially varying index . . . . . . . . . 1212--1265 Enrique Ramé and Steven J. Weinstein and Nathaniel S. Barlow On the shape of air--liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers . . . . . . . . . . . . . . . 1266--1286 Jordan C. Hauge and Darren Crowdy A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow . . . . . . . . . . 1287--1326 Jeffrey R. Anderson and Keng Deng Blow up and global solvability for an absorptive porous medium equation with memory at the boundary . . . . . . . . . 1327--1348 Annie Millet and Svetlana Roudenko and Kai Yang Behaviour of solutions to the $1$D focusing stochastic $ L^2$-critical and supercritical nonlinear Schrödinger equation with space--time white noise 1349--1396
Sreethin Sreedharan Kallyadan and Priyanka Shukla Dynamical aspects of a restricted three-vortex problem . . . . . . . . . . 1--19 Suresh Eswarathasan and Theodore Kolokolnikov Laplace--Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory . . . . . . . . . . 20--49 Daomin Cao and Weicheng Zhan and Changjun Zou On desingularization of steady vortex for the lake equations . . . . . . . . . 50--79 B. D. Goddard and B. Gooding and H. Short and G. A. Pavliotis Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions . . . . 80--110 J. A. Leach and Andrew P. Bassom Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity . . . . . . . . . . . . . . 111--128 Pu-Zhao Kow and Jenn-Nan Wang Corrigendum to: Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background . . . . . . . . 129--130
Ryan Goh and Tasso J. Kaper and Theodore Vo Delayed Hopf Bifurcation and Space-Time Buffer Curves in the Complex Ginzburg--Landau Equation . . . . . . . 131--186 Darko Volkov A parallel sampling algorithm for some nonlinear inverse problems . . . . . . . 187--206 Chao Gao and Xing-Min Chen Stability analysis of a standby system with an unreliable server and switching failure . . . . . . . . . . . . . . . . 207--230 Simon J. A. Malham Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations . . . . 231--259 Jianguo Ye and Guozheng Yan The factorization method for inverse scattering by a two-layered cavity with conductive boundary condition . . . . . 260--290 D. A. Edwards Quasisteady models for weld temperatures in fused filament fabrication . . . . . 291--313
Dan J. Hill Existence of localized radial patterns in a model for dryland vegetation . . . 315--353 A. C. Fowler Non-equilibrium growth of a binary alloy 354--379 Abdullah M. Alsharif and Emilian I. Parau Temporal instability of curved viscous fibers with a radial electric field . . 380--406 Jianli Xiang and Guozheng Yan The factorization method for a mixed inverse elastic scattering problem . . . 407--437 Suraj Kumar and S. K. Tomar Lamb waves in elastic-plastic plate containing voids . . . . . . . . . . . . 438--461 Chris Budd and Kgomotso S. Morupisi Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle . . . . . . 462--491 Ellen K. Luckins and James M. Oliver and Colin P. Please and Benjamin M. Sloman and Aasgeir M. Valderhaug and Robert A. Van Gorder Modelling alternating current effects in a submerged arc furnace . . . . . . . . 492--520
Gregory Kozyreff Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold 521--536 H. L. Oliveira and S. McKee and G. C. Buscaglia and J. A. Cuminato and I. W. Stewart and D. J. Wheatley A generalized mathematical representation of the shape of the Wheatley heart valve and the associated static stress fields upon opening and closing . . . . . . . . . . . . . . . . 537--567 Joshua W. Moore and Trevor C. Dale and Thomas E. Woolley Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries . . . . . . . 568--606 Hanin Al Jebawy and Abdellatif El Badia On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed . . . . . . . 607--646 Víctor Domínguez and Catalin Turc Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems 647--706
Baris Erbas and Julius Kaplunov and Gökçe Kiliç Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation . . . . . . . . . . . . . . . 707--721 Ilya I. Kudish and Eugene Pashkovski and Reid Patterson Line contact lubricated by a fluid described by non-Newtonian Giesekus model . . . . . . . . . . . . . . . . . 722--756 Wancheng Sheng and Qinglong Zhang The Riemann problem for a traffic flow model on a road with variable widths . . 757--785 Liangqiang Zhou and Fangqi Chen Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field . . . . . . . . . . . 786--803 Boris P. Belinskiy and Don B. Hinton and Roger A. Nichols Singular fourth-order Sturm--Liouville operators and acoustic black holes . . . 804--851 Xianguo Geng and Kedong Wang and Mingming Chen The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics . . . 852--905 Josef Adam Giddings and John Billingham and Stephen Michael Cox Slugging in horizontal channel flow . . 906--933
Christopher Hurst and Milija Zupanski and Xinfeng Gao The maximum likelihood ensemble smoother for the Kuramoto--Sivashinsky equation 935--963 Demetrios T. Papageorgiou and Yiorgos-Sokratis Smyrlis and Ruben J. Tomlin Optimal analyticity estimates for non-linear active-dissipative evolution equations . . . . . . . . . . . . . . . 964--984 Raphaël Berthier and Mufan (Bill) Li Acceleration of gossip algorithms through the Euler--Poisson--Darboux Equation . . . . . . . . . . . . . . . . 985--1009 A. S. Fokas and K. Kalimeris Extensions of the d'Alembert formulae to the half line and the finite interval obtained via the unified transform . . . 1010--1042 Tyler Cassidy and Peter Gillich and Antony R. Humphries and Christiaan H. van Dorp Numerical methods and hypoexponential approximations for gamma distributed delay differential equations . . . . . . 1043--1089 Gage Bonner and Jean-Luc Thiffeault and Benedek Valkó On a random entanglement problem . . . . 1090--1120 Yusra Bibi Ruhomally and Muhammad Zaid Dauhoo and Laurent Dumas Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502) . . . . . . . . . . . . . . . . 1121--1150 Raimund Bürger and Stefan Diehl and M. Carmen Martí and Yolanda Vásquez A degenerating convection--diffusion system modelling froth flotation with drainage . . . . . . . . . . . . . . . . 1151--1190
Matthew J. Colbrook and Andrew Horning and Kyle Thicke and Alexander B. Watson Computing spectral properties of topological insulators without artificial truncation or supercell approximation . . . . . . . . . . . . . 1--42 Nastaran Naghshineh and W. Cade Reinberger and Nathaniel S. Barlow and Mohamed A. Samaha and Steven J. Weinstein On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs . . . 43--66 Andrea Zanoni Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces . . . . . . . . 67--101 Laurent Bourgeois and Sonia Fliss and Jean-François Fritsch and Christophe Hazard and Arnaud Recoquillay Scattering in a partially open waveguide: the forward problem . . . . . 102--151 Matthew Farkas and Jorge Cisneros and Bernard Deconinck The analytic extension of solutions to initial-boundary value problems outside their domain of definition . . . . . . . 152--212 Anonymous Correction to: A degenerating convection--diffusion system modelling froth flotation with drainage . . . . . 213--213
Camille Carvalho and Zo\"\is Moitier Scattering resonances in unbounded transmission problems with sign-changing coefficient . . . . . . . . . . . . . . 215--257 Tommi Brander and Daniel Lesnic and Kai Cao Inverse problems for a model of biofilm growth . . . . . . . . . . . . . . . . . 258--281 Grigor Nika On a hierarchy of effective models for the biomechanics of human compact bone tissue . . . . . . . . . . . . . . . . . 282--307 Yuan Yuan and Xianlong Fu Dynamics of an age-structured HIV model with general nonlinear infection rate 308--353 Kai Wang and Hao Wang and Hongyong Zhao Global threshold dynamics of a spatial chemotactic mosquito-borne disease model 354--377 G. Baravdish and B. T. Johansson and O. Svensson and W. Ssebunjo Identifying a response parameter in a model of brain tumour evolution under therapy . . . . . . . . . . . . . . . . 378--404 G. Breschi and M. A. Fontelos On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel . . . . . . . . . 405--428
Zofia Wróblewska and Piotr Kowalczyk and \Lukasz P\lociniczak Stability of fixed points in an approximate solution of the spring--mass running model . . . . . . . . . . . . . 429--454 Pipi Hu and Peng Xie and Yi Zhu Traveling edge states in massive Dirac equations along slowly varying edges . . 455--471 Hiroyuki Miyoshi and Darren G. Crowdy Estimating conformal capacity using asymptotic matching . . . . . . . . . . 472--497 Stanis\law W. Biber and Alan R. Champneys and Robert Szalai Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface . . . . . . 498--523
Dmitrii Chaikovskii and Ye Zhang Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions . . . . . . . . . 525--557 Jianli Xiang and Guozheng Yan Uniqueness of refractive indices and transmission coefficients by an inhomogeneous medium in acoustic scattering . . . . . . . . . . . . . . . 558--575 Wenjie Hu and Quanxin Zhu and Tomás Caraballo Random attractors for a stochastic nonlocal delayed reaction--diffusion equation on a semi-infinite interval . . 576--601 Larkspur Brudvik-Lindner and Dimitrios Mitsotakis and Athanasios E. Tzavaras Oscillatory and regularized shock waves for a dissipative Peregrine--Boussinesq system . . . . . . . . . . . . . . . . . 602--631 Y. Pérez Peña and J. Ortíz Sánchez and F. J. Ariza Hernández and M. P. Árciga Alejandre Initial-boundary value problem for a fractional heat equation on an interval 632--643 Anonymous Correction to: On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs . . . . . . . . . . . . . 644--644
Yucen Han and Baoming Shi and Lei Zhang and Apala Majumdar A reduced Landau--de Gennes study for nematic equilibria in three-dimensional prisms . . . . . . . . . . . . . . . . . 645--676 A. C. Fowler and Marian B. Holness Interfacial growth morphologies in dense eutectic crystal mushes . . . . . . . . 677--701 Oluwatosin Babasola and Chris Budd Mathematical analysis of a time-delayed model for cocoa yield . . . . . . . . . 702--734 Nastaran Naghshineh and W. Cade Reinberger and Nathaniel S. Barlow and Mohamed A. Samaha and Steven J. Weinstein The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation . . . . . . . . . . . . . 735--764 S. Murphy and M. Vynnycky and S. L. Mitchell and D. O'Kiely Reaction dynamics and early-time behaviour of chemical decontamination 765--804 Zilong Song and Robert Eisenberg and Shixin Xu and Huaxiong Huang A bubble model for the gating of K$_v$ channels . . . . . . . . . . . . . . . . 805--836 Hansen Pei and Pak-Wing Fok and Louis Rossi Stochastic modelling of Karlotoxin influence on prey . . . . . . . . . . . 837--866 Anonymous Correction to: Initial-boundary value problem for a fractional heat equation on an interval . . . . . . . . . . . . . 867--867
Lyndon Koens and Rohan Vernekar and Timm Krüger and Maciej Lisicki and David W. Inglis The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders . . . . . . . 869--887 Siiri Rautio and Rashmi Murthy and Tatiana A. Bubba and Matti Lassas and Samuli Siltanen Learning a microlocal prior for limited-angle tomography . . . . . . . . 888--916 Ingo Nitschke and Souhayl Sadik and Axel Voigt Tangential tensor fields on deformable surfaces-how to derive consistent $ L^2 $-gradient flows . . . . . . . . . . . . 917--958 Ekin Deliktas-Ozdemir The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves . . . . . . . . . 959--977 Chao Liu and Bin Liu Global existence and boundedness in a two-species chemotaxis-fluid system with indirect pursuit-evasion interaction . . 978--1008
D. Lesnic and M. J. Ehrhardt Editorial Forward to the Special Issue on ``The Applied Mathematics of Machine Learning'' . . . . . . . . . . . . . . . 1--1 Zhaofang Cui and Peter Grindrod Mappings, dimensionality and reversing out of deep neural networks . . . . . . 2--11 Martin Benning and Tatiana A. Bubba and Luca Ratti and Danilo Riccio Trust your source: quantifying source condition elements for variational regularisation methods . . . . . . . . . 12--43 Ivan Y. Tyukin and Desmond J. Higham and Alexander Bastounis and Eliyas Woldegeorgis and Alexander N. Gorban The feasibility and inevitability of stealth attacks . . . . . . . . . . . . 44--84 Juan Carlos De los Reyes and David Villacís Interpretable model learning in variational imaging: a bilevel optimization approach . . . . . . . . . 85--122 Dinh Nho H\`ao and Duong Xuan Hiep and Pham Quy Muoi Learning river water quality models by $ l^1$-weighted regularization . . . . . . 123--142 Tamara G. Grossmann and Urszula Julia Komorowska and Jonas Latz and Carola-Bibiane Schönlieb Can physics-informed neural networks beat the finite element method? . . . . 143--174 Lucas Beerens and Desmond J. Higham Adversarial ink: componentwise backward error attacks on deep learning . . . . . 175--196 Tan Bui-Thanh A unified and constructive framework for the universality of neural networks . . 197--230 Hyoung Suk Park and Chang Min Hyun and Jin Keun Seo Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography . . 231--253 Matthias J. Ehrhardt and Lindon Roberts Analyzing inexact hypergradients for bilevel learning . . . . . . . . . . . . 254--278
Anna Katsiavria and Demetrios T. Papageorgiou Stability analysis of viscous multi-layer shear flows with interfacial slip . . . . . . . . . . . . . . . . . . 279--317 Josh Shelton and Philippe H. Trinh A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples . . . . . . . . . . . 318--342 Clare R. Rees-Zimmerman and Alexander F. Routh Stratification in drying films: diffusiophoresis driven by nanoparticles and their counterions . . . . . . . . . 343--373 N. R. McDonald and Samuel J. Harris Exact and numerical solutions of a free boundary problem with a reciprocal growth law . . . . . . . . . . . . . . . 374--386 Cui Song and Zhi-Cheng Wang and Zhaosheng Feng Global existence and steady states of the density-suppressed motility model with strong Allee effect . . . . . . . . 387--425 R. Bustamante and P. Arrue and O. Orellana and R. Meneses An iteration method to study nonlinear wave propagation for a non-Green elastic 1D bar . . . . . . . . . . . . . . . . . 426--440 Volker W. Elling Convexity of shock polars . . . . . . . 441--462
Valentin D. Kunz and Raphael C. Assier Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics . . . . . . . . 463--497 Simon M. Finney and Matthew G. Hennessy and Andreas Münch and Sarah L. Waters The impact of confinement on the deformation of an elastic particle under axisymmetric tube flow . . . . . . . . . 498--532 Antônio Francisco Neto An explicit Maclaurin series solution to non-autonomous and non-homogeneous evolution equation, Omega Calculus and associated applications . . . . . . . . 533--573 Jesse J. Hulse and Loredana Lanzani and Stefan G. Llewellyn Smith and Elena Luca A transform-based technique for solving boundary value problems on convex planar domains . . . . . . . . . . . . . . . . 574--597 Takeo Kamizawa and Andrzej Jamio\lkowski and Takashi Matsuoka and Noboru Watanabe On the $p$-irreducibility of quintic positive polynomials . . . . . . . . . . 598--621