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B. 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 $Ji_v(t)$ . . . . . . . . . . . 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 $pnpn$
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 $EC'$
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
$1\colon1$-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 ... 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