Last update:
Fri May 31 10:37:04 MDT 2024
Bo Li Minimization of Electrostatic Free
Energy and the Poisson--Boltzmann
Equation for Molecular Solvation with
Implicit Solvent . . . . . . . . . . . . 2536--2566
Namkwon Kim Large Friction Limit and the Inviscid
Limit of $2$D Navier--Stokes Equations
Under Navier Friction Condition . . . . 1653--1663
Martin Hanke and
Nuutti Hyvönen and
Stefanie Reusswig An Inverse Backscatter Problem for
Electric Impedance Tomography . . . . . 1948--1966
Corrado Lattanzio and
Corrado Mascia and
Toan Nguyen and
Ramón G. Plaza and
Kevin Zumbrun Stability of Scalar Radiative Shock
Profiles . . . . . . . . . . . . . . . . 2165--2206
Tadahiro Oh Invariance of the Gibbs Measure for the
Schrödinger--Benjamin--Ono System . . . . 2207--2225
Ricardo Riaza Stability Loss in Quasilinear DAEs by
Divergence of a Pencil Eigenvalue . . . 2226--2245
Xiang Xu and
Liyun Zhao and
Chun Liu Axisymmetric Solutions to Coupled
Navier--Stokes/Allen--Cahn Equations . . 2246--2282
José A. Cañizo and
Stéphane Mischler and
Clément Mouhot Rate of Convergence to Self-Similarity
for Smoluchowski's Coagulation Equation
with Constant Coefficients . . . . . . . 2283--2314
Laurent Desvillettes and
Klemens Fellner Large Time Asymptotics for a Continuous
Coagulation-Fragmentation Model with
Degenerate Size-Dependent Diffusion . . 2315--2334
G. Yin and
Xuerong Mao and
Chenggui Yuan and
Dingzhou Cao Approximation Methods for Hybrid
Diffusion Systems with State-Dependent
Switching Processes: Numerical
Algorithms and Existence and Uniqueness
of Solutions . . . . . . . . . . . . . . 2335--2352
Renjun Duan and
Tong Yang Stability of the One-Species
Vlasov--Poisson--Boltzmann System . . . 2353--2387
Grégoire Nadin The Effect of the Schwarz Rearrangement
on the Periodic Principal Eigenvalue of
a Nonsymmetric Operator . . . . . . . . 2388--2406
Qinglan Xia and
Anna Vershynina On the Transport Dimension of Measures 2407--2430
Pablo Pedregal and
Baisheng Yan A Duality Method for Micromagnetics . . 2431--2452
Ting Zhang and
Daoyuan Fang Compressible Flows with a
Density-Dependent Viscosity Coefficient 2453--2488
Annegret Glitzky and
Klaus Gärtner Existence of Bounded Steady State
Solutions to Spin-Polarized
Drift-Diffusion Systems . . . . . . . . 2489--2513
Michel Bellieud Torsion Effects in Elastic Composites
with High Contrast . . . . . . . . . . . 2514--2553
G. Carlier and
A. Galichon and
F. Santambrogio From Knothe's Transport to Brenier's Map
and a Continuation Method for Optimal
Transport . . . . . . . . . . . . . . . 2554--2576
Ming Mei Best Asymptotic Profile for Hyperbolic
$p$-System with Damping . . . . . . . . 1--23
Taishan Yi and
Yuming Chen and
Jianhong Wu Periodic Solutions and the Global
Attractor in a System of Delay
Differential Equations . . . . . . . . . 24--63
D. Chiron and
F. Rousset The KdV/KP-I Limit of the Nonlinear
Schrödinger Equation . . . . . . . . . . 64--96
Stan Alama and
Lia Bronsard and
Bernardo Galvão-Sousa Thin Film Limits for Ginzburg--Landau
with Strong Applied Magnetic Fields . . 97--124
Grégoire Allaire and
Andro Mikeli\'c and
Andrey Piatnitski Homogenization Approach to the
Dispersion Theory for Reactive Transport
through Porous Media . . . . . . . . . . 125--144
Fioralba Cakoni and
David Colton and
Houssem Haddar The Interior Transmission Problem for
Regions with Cavities . . . . . . . . . 145--162
Tiziana Giorgi and
Robert G. Smits Gauge Uniqueness of Solutions to the
Ginzburg--Landau System for Small
Superconducting Domains . . . . . . . . 163--182
Michele Di Cristo and
Sergio Vessella Stable Determination of the
Discontinuous Conductivity Coefficient
of a Parabolic Equation . . . . . . . . 183--217
J. A. Carrillo and
M. Fornasier and
J. Rosado and
G. Toscani Asymptotic Flocking Dynamics for the
Kinetic Cucker--Smale Model . . . . . . 218--236
Fioralba Cakoni and
Drossos Gintides and
Houssem Haddar The Existence of an Infinite Discrete
Set of Transmission Eigenvalues . . . . 237--255
Tomá\vs Roubí\vcek Thermodynamics of Rate-independent
Processes in Viscous Solids at Small
Strains . . . . . . . . . . . . . . . . 256--297
Kewei Zhang On Universal Coercivity in Linear
Elasticity . . . . . . . . . . . . . . . 298--322
Shibin Dai On the Shortening Rate of Collections of
Plane Convex Curves by the
Area-Preserving Mean Curvature Flow . . 323--333
Murad Banaji and
David Angeli Convergence in Strongly Monotone Systems
with an Increasing First Integral . . . 334--353
Nathael Alibaud and
Cyril Imbert and
Grzegorz Karch Asymptotic Properties of Entropy
Solutions to Fractal Burgers Equation 354--376
Yihong Du and
Zhigui Lin Spreading-Vanishing Dichotomy in the
Diffusive Logistic Model with a Free
Boundary . . . . . . . . . . . . . . . . 377--405
Burak Aksoylu and
Horst R. Beyer Results on the Diffusion Equation with
Rough Coefficients . . . . . . . . . . . 406--426
R. Temam and
D. Wirosoetisno Stability of the Slow Manifold in the
Primitive Equations . . . . . . . . . . 427--458
Tong Yang and
Hongjun Yu Global Classical Solutions for the
Vlasov--Maxwell--Fokker--Planck System 459--488
Rémi Carles and
Eric Dumas and
Christof Sparber Multiphase Weakly Nonlinear Geometric
Optics for Schrödinger Equations . . . . 489--518
Christof Melcher Thin-Film Limits for
Landau--Lifshitz--Gilbert Equations . . 519--537
Linan Chen and
Daniel W. Stroock The Fundamental Solution to the
Wright--Fisher Equation . . . . . . . . 539--567
Charles L. Epstein and
Rafe Mazzeo Wright--Fisher Diffusion in One
Dimension . . . . . . . . . . . . . . . 568--608
N. V. Krylov On Divergence form SPDEs with Growing
Coefficients in $ W^1_2 $ Spaces Without
Weights . . . . . . . . . . . . . . . . 609--633
Guang-Tsai Lei Characterization of Electromagnetic
Cavity Resonators by Integral Identities 634--645
John A. D. Appleby and
Xuerong Mao and
Huizhong Wu On the Almost Sure Running Maxima of
Solutions of Affine Stochastic
Functional Differential Equations . . . 646--678
Guillaume Bal and
Alexandre Jollivet Stability for Time-Dependent Inverse
Transport . . . . . . . . . . . . . . . 679--700
Ralf Kaiser The Geomagnetic Direction Problem: The
Two-Dimensional and the
Three-Dimensional Axisymmetric Cases . . 701--728
Philipp Grohs A General Proximity Analysis of
Nonlinear Subdivision Schemes . . . . . 729--750
Chunjing Xie and
Zhouping Xin Existence of Global Steady Subsonic
Euler Flows Through Infinitely Long
Nozzles . . . . . . . . . . . . . . . . 751--784
Camille Laurent Global Controllability and Stabilization
for the Nonlinear Schrödinger Equation on
Some Compact Manifolds of Dimension $3$ 785--832
Shangbing Ai Traveling Waves for a Model of a Fungal
Disease over a Vineyard . . . . . . . . 833--856
Margaret Beck and
Hermen Jan Hupkes and
Björn Sandstede and
Kevin Zumbrun Nonlinear Stability of Semidiscrete
Shocks for Two-Sided Schemes . . . . . . 857--903
Helge Kristian Jenssen and
Trygve Klovning Karper One-Dimensional Compressible Flow with
Temperature Dependent Transport
Coefficients . . . . . . . . . . . . . . 904--930
V. Bonnaillie-Noël and
M. Dambrine and
F. Hérau and
G. Vial On Generalized Ventcel's Type Boundary
Conditions for Laplace Operator in a
Bounded Domain . . . . . . . . . . . . . 931--945
Clément Canc\`es Asymptotic Behavior of Two-Phase Flows
in Heterogeneous Porous Media for
Capillarity Depending Only on Space. I.
Convergence to the Optimal Entropy
Solution . . . . . . . . . . . . . . . . 946--971
Clément Canc\`es Asymptotic Behavior of Two-Phase Flows
in Heterogeneous Porous Media for
Capillarity Depending Only on Space. II.
Nonclassical Shocks to Model
Oil-Trapping . . . . . . . . . . . . . . 972--995
Patricio Felmer and
Alexander Quaas and
Boyan Sirakov Resonance Phenomena for Second-Order
Stochastic Control Equations . . . . . . 997--1024
Ansgar Jüngel Global Weak Solutions to Compressible
Navier--Stokes Equations for Quantum
Fluids . . . . . . . . . . . . . . . . . 1025--1045
Flavia Smarrazzo and
Alberto Tesei Long-Time Behavior of Solutions to a
Class of Forward-Backward Parabolic
Equations . . . . . . . . . . . . . . . 1046--1093
C. H. Arthur Cheng and
Steve Shkoller The Interaction of the $3$D
Navier--Stokes Equations with a Moving
Nonlinear Koiter Elastic Shell . . . . . 1094--1155
Toan Nguyen On Asymptotic Stability of
Noncharacteristic Viscous Boundary
Layers . . . . . . . . . . . . . . . . . 1156--1178
S. Bianchini and
A. Brancolini Estimates on Path Functionals over
Wasserstein Spaces . . . . . . . . . . . 1179--1217
M. N. Benbourhim and
A. Bouhamidi Meshless Pseudo-Polyharmonic
Divergence-Free and Curl-Free Vector
Fields Approximation . . . . . . . . . . 1218--1245
Jean-François Aujol and
Sa\"\id Ladjal and
Simon Masnou Exemplar-Based Inpainting from a
Variational Point of View . . . . . . . 1246--1285
Marcus Wunsch The Generalized Hunter--Saxton System 1286--1304
Yihong Du and
Sze-Bi Hsu On a Nonlocal Reaction--Diffusion
Problem Arising from the Modeling of
Phytoplankton Growth . . . . . . . . . . 1305--1333
Rustum Choksi and
Mark A. Peletier Small Volume Fraction Limit of the
Diblock Copolymer Problem: I.
Sharp-Interface Functional . . . . . . . 1334--1370
Ville Kolehmainen and
Matti Lassas and
Petri Ola Calderón's Inverse Problem with an
Imperfectly Known Boundary and
Reconstruction Up to a Conformal
Deformation . . . . . . . . . . . . . . 1371--1381
Jeremy L. Marzuola A Class of Stable Perturbations for a
Minimal Mass Soliton in
Three-Dimensional Saturated Nonlinear
Schrödinger Equations . . . . . . . . . . 1382--1403
Misha Perepelitsa Asymptotics Toward Rarefaction Waves and
Vacuum for $1$-D Compressible
Navier--Stokes Equations . . . . . . . . 1404--1412
Uwe Günther and
Heinz Langer and
Christiane Tretter On the Spectrum of the
Magnetohydrodynamic Mean-Field $
\alpha^2$-Dynamo Operator . . . . . . . 1413--1447
Yves Achdou and
Nicoletta Tchou Trace Theorems for a Class of Ramified
Domains with Self-Similar Fractal
Boundaries . . . . . . . . . . . . . . . 1449--1482
Michael Herrmann and
Jens D. M. Rademacher Heteroclinic Travelling Waves in Convex
FPU-Type Chains . . . . . . . . . . . . 1483--1504
Bastian Harrach and
Jin Keun Seo Exact Shape-Reconstruction by One-Step
Linearization in Electrical Impedance
Tomography . . . . . . . . . . . . . . . 1505--1518
Petr Klou\vcek and
Michel V. Romerio Tracking Free Boundaries in Fluids Using
a Variational Principle . . . . . . . . 1519--1538
Maria Rosaria Lancia and
Paola Vernole Irregular Heat Flow Problems . . . . . . 1539--1567
Robert M. Strain Global Newtonian Limit for the
Relativistic Boltzmann Equation near
Vacuum . . . . . . . . . . . . . . . . . 1568--1601
Nam Q. Le On the Convergence of the Ohta--Kawasaki
Equation to Motion by Nonlocal
Mullins--Sekerka Law . . . . . . . . . . 1602--1638
Wang Zhan and
Yin Huicheng Local Structural Stability of a
Multidimensional Centered Rarefaction
Wave for the Three-Dimensional Steady
Supersonic Euler Flow around a Sharp
Corner . . . . . . . . . . . . . . . . . 1639--1687
Yan Guo and
Ian Tice Linear Rayleigh--Taylor Instability for
Viscous, Compressible Fluids . . . . . . 1688--1720
V. Girault and
L. Ridgway Scott On a Time-Dependent Transport Equation
in a Lipschitz Domain . . . . . . . . . 1721--1731
T. Hangelbroek and
F. J. Narcowich and
J. D. Ward Kernel Approximation on Manifolds I:
Bounding the Lebesgue Constant . . . . . 1732--1760
G. M. Coclite and
M. Garavello Vanishing Viscosity for Traffic on
Networks . . . . . . . . . . . . . . . . 1761--1783
Janet Dyson and
Stephen A. Gourley and
Rosanna Villella-Bressan and
Glenn F. Webb Existence and Asymptotic Properties of
Solutions of a Nonlocal Evolution
Equation Modeling Cell--Cell Adhesion 1784--1804
Mark A. Peletier and
Giuseppe Savaré and
Marco Veneroni From Diffusion to Reaction via $ {\Gamma
} $-Convergence . . . . . . . . . . . . 1805--1825
Marina Chugunova and
M. C. Pugh and
R. M. Taranets Nonnegative Solutions for a Long-Wave
Unstable Thin Film Equation with
Convection . . . . . . . . . . . . . . . 1826--1853
Anne Boutet de Monvel and
Alexander Its and
Dmitry Shepelsky Painlevé-Type Asymptotics for the
Camassa--Holm Equation . . . . . . . . . 1854--1873
Lei Yao and
Ting Zhang and
Changjiang Zhu Existence and Asymptotic Behavior of
Global Weak Solutions to a $2$D Viscous
Liquid-Gas Two-Phase Flow Model . . . . 1874--1897
W. Garrett Mitchener Mean-Field and Measure-Valued
Differential Equation Models for
Language Variation and Change in a
Spatially Distributed Population . . . . 1899--1933
Herbert Egger and
Matthias Schlottbom Analysis and Regularization of Problems
in Diffuse Optical Tomography . . . . . 1934--1948
Craig Cowan and
Nassif Ghoussoub Estimates on Pull-In Distances in
Microelectromechanical Systems Models
and Other Nonlinear Eigenvalue Problems 1949--1966
Yue Liu and
Dmitry Pelinovsky and
Anton Sakovich Wave Breaking in the Ostrovsky--Hunter
Equation . . . . . . . . . . . . . . . . 1967--1985
Milena Chermisi and
Sergio Conti Multiwell Rigidity in Nonlinear
Elasticity . . . . . . . . . . . . . . . 1986--2012
Avner Friedman and
Bei Hu and
Chuan Xue Analysis of a Mathematical Model of
Ischemic Cutaneous Wounds . . . . . . . 2013--2040
Liviu I. Ignat Strichartz Estimates for the Schrödinger
Equation on a Tree and Applications . . 2041--2057
Juan J. Manfredi and
Mikko Parviainen and
Julio D. Rossi An Asymptotic Mean Value
Characterization for a Class of
Nonlinear Parabolic Equations Related to
Tug-of-War Games . . . . . . . . . . . . 2058--2081
Etienne Bernard and
Emanuele Caglioti and
François Golse Homogenization of the Linear Boltzmann
Equation in a Domain with a Periodic
Distribution of Holes . . . . . . . . . 2082--2113
R. E. Showalter Nonlinear Degenerate Evolution Equations
in Mixed Formulation . . . . . . . . . . 2114--2131
Tom Claeys and
Tamara Grava Solitonic Asymptotics for the
Korteweg--de Vries Equation in the Small
Dispersion Limit . . . . . . . . . . . . 2132--2154
H. Ibrahim and
R. Monneau On the Rate of Convergence in Periodic
Homogenization of Scalar First-Order
Ordinary Differential Equations . . . . 2155--2176
Thierry Goudon and
Lingbing He and
Ayman Moussa and
Ping Zhang The
Navier--Stokes--Vlasov--Fokker--Planck
System near Equilibrium . . . . . . . . 2177--2202
Monique Dauge and
Rob Stevenson Sparse Tensor Product Wavelet
Approximation of Singular Functions . . 2203--2228
Vincent Duchêne Asymptotic Shallow Water Models for
Internal Waves in a Two-Fluid System
with a Free Surface . . . . . . . . . . 2229--2260
Evans M. Harrell II and
Joachim Stubbe Universal Bounds and Semiclassical
Estimates for Eigenvalues of Abstract
Schrödinger Operators . . . . . . . . . . 2261--2274
István Gyöngy and
Nicolai Krylov Accelerated Finite Difference Schemes
for Linear Stochastic Partial
Differential Equations in the Whole
Space . . . . . . . . . . . . . . . . . 2275--2296
Bin Han and
Xiaosheng Zhuang Matrix Extension with Symmetry and Its
Application to Symmetric Orthonormal
Multiwavelets . . . . . . . . . . . . . 2297--2317
Ching-Lung Lin and
Gen Nakamura Unique Continuation Property for a
Coupled Second-Fourth Order Dynamical
System and Its Application . . . . . . . 2318--2336
Daniel Han-Kwan On The Confinement of a Tokamak Plasma 2337--2367
Qiang Du and
Juncheng Wei and
Chunyi Zhao Vortex Solutions of the High-$ \kappa $
High-Field Ginzburg--Landau Model with
an Applied Current . . . . . . . . . . . 2368--2401
Giovanni Bellettini and
Luca Mugnai Approximation of Helfrich's Functional
via Diffuse Interfaces . . . . . . . . . 2402--2433
Anna Ghazaryan and
Yuri Latushkin and
Stephen Schecter Stability of Traveling Waves for a Class
of Reaction--Diffusion Systems That
Arise in Chemical Reaction Models . . . 2434--2472
Ryo Takada Counterexamples of Commutator Estimates
in the Besov and the Triebel--Lizorkin
Spaces Related to the Euler Equations 2473--2483
Gautam Iyer and
Alexei Novikov and
Lenya Ryzhik and
Andrej Zlato\vs Exit Times of Diffusions with
Incompressible Drift . . . . . . . . . . 2484--2498
Ricardo J. Alonso and
Bertrand Lods Free Cooling and High-Energy Tails of
Granular Gases with Variable Restitution
Coefficient . . . . . . . . . . . . . . 2499--2538
Song Jiang and
Qiangchang Ju and
Fucai Li Incompressible Limit of the Compressible
Magnetohydrodynamic Equations with
Vanishing Viscosity Coefficients . . . . 2539--2553
Simon N. Chandler-Wilde and
Johannes Elschner Variational Approach in Weighted Sobolev
Spaces to Scattering by Unbounded Rough
Surfaces . . . . . . . . . . . . . . . . 2554--2580
G. Cardone and
T. Durante and
S. A. Nazarov The Localization Effect for
Eigenfunctions of the Mixed Boundary
Value Problem in a Thin Cylinder with
Distorted Ends . . . . . . . . . . . . . 2581--2609
Lingbing He and
Li Xu Global Well-Posedness for Viscoelastic
Fluid System in Bounded Domains . . . . 2610--2625
Alain Bourgeat and
Andrey L. Piatnitski Averaging of a Singular Random Source
Term in a Diffusion Convection Equation 2626--2651
Russell W. Schwab Periodic Homogenization for Nonlinear
Integro-Differential Equations . . . . . 2652--2680
Mathew A. Johnson and
Kevin Zumbrun Transverse Instability of Periodic
Traveling Waves in the Generalized
Kadomtsev--Petviashvili Equation . . . . 2681--2702
M. I. Belishev and
A. F. Vakulenko $s$-Points in Three-Dimensional
Acoustical Scattering . . . . . . . . . 2703--2720
Shengfu Deng and
Shu-Ming Sun Exact Theory of Three-Dimensional Water
Waves at the Critical Speed . . . . . . 2721--2761
Ming Mei and
Chunhua Ou and
Xiao-Qiang Zhao Global Stability of Monostable Traveling
Waves For Nonlocal Time-Delayed
Reaction--Diffusion Equations . . . . . 2762--2790
Lorenzo Giacomelli and
Salvador Moll Rotationally Symmetric $1$-Harmonic
Flows From $ D^2$ to $ S^2$: Local
Well-Posedness and Finite Time Blowup 2791--2817
Juncheng Wei and
Matthias Winter Stability of Spiky Solutions in a
Reaction--Diffusion System with Four
Morphogens on the Real Line . . . . . . 2818--2841
Martin Burger and
Marco Di Francesco and
Jan-Frederik Pietschmann and
Bärbel Schlake Nonlinear Cross-Diffusion with Size
Exclusion . . . . . . . . . . . . . . . 2842--2871
François Hamel and
Yannick Sire Spreading Speeds for Some
Reaction--Diffusion Equations with
General Initial Conditions . . . . . . . 2872--2911
Fioralba Cakoni and
David Colton and
Drossos Gintides The Interior Transmission Eigenvalue
Problem . . . . . . . . . . . . . . . . 2912--2921
Eva Sincich Stability for the Determination of
Unknown Boundary and Impedance with a
Robin Boundary Condition . . . . . . . . 2922--2943
Alexander Komech and
Andrew Komech Global Attraction to Solitary Waves for
a Nonlinear Dirac Equation with Mean
Field Interaction . . . . . . . . . . . 2944--2964
Michael Hitrik and
Katsiaryna Krupchyk and
Petri Ola and
Lassi Päivärinta Transmission Eigenvalues for Operators
with Constant Coefficients . . . . . . . 2965--2986
W. M. Greenlee and
L. Hermi Quadratic Interpolation and
Rayleigh--Ritz Methods for Bifurcation
Coefficients . . . . . . . . . . . . . . 2987--3019
A. Campbell and
S. A. Nazarov and
G. H. Sweers Spectra of Two-Dimensional Models for
Thin Plates with Sharp Edges . . . . . . 3020--3044
Thomas H. Otway Unique Solutions to Boundary Value
Problems in the Cold Plasma Model . . . 3045--3053
Paul W. Y. Lee New Computable Necessary Conditions for
the Regularity Theory of Optimal
Transportation . . . . . . . . . . . . . 3054--3075
Buyang Li and
Weiwei Sun Global Existence of Weak Solution for
Nonisothermal Multicomponent Flow in
Porous Textile Media . . . . . . . . . . 3076--3102
David Henry Analyticity of the Streamlines for
Periodic Travelling Free Surface
Capillary-Gravity Water Waves with
Vorticity . . . . . . . . . . . . . . . 3103--3111
Virginia De Cicco and
Chiara Leone and
Anna Verde Lower Semicontinuity in SBV for
Integrals with Variable Growth . . . . . 3112--3128
Blake Temple and
Robin Young Time-Periodic Linearized Solutions of
the Compressible Euler Equations and a
Problem of Small Divisors . . . . . . . 1--49
Corrado Lattanzio and
Amelio Maurizi and
Benedetto Piccoli Moving Bottlenecks in Car Traffic Flow:
a PDE--ODE Coupled Model . . . . . . . . 50--67
Athanasios N. Yannacopoulos and
Nikolaos E. Frangos and
Ioannis Karatzas Wiener Chaos Solutions for Linear
Backward Stochastic Evolution Equations 68--113
Yann Brenier and
Felix Otto and
Christian Seis Upper Bounds on Coarsening Rates in
Demixing Binary Viscous Liquids . . . . 114--134
A. Kawano and
A. Zine Uniqueness and Nonuniqueness Results for
a Certain Class of Almost Periodic
Distributions . . . . . . . . . . . . . 135--152
James Nolen An Invariance Principle for Random
Traveling Waves in One Dimension . . . . 153--188
Sei Nagayasu and
Gunther Uhlmann and
Jenn-Nan Wang Reconstruction of Penetrable Obstacles
in Acoustic Scattering . . . . . . . . . 189--211
Guy Barles and
Annalisa Cesaroni and
Matteo Novaga Homogenization of Fronts in Highly
Heterogeneous Media . . . . . . . . . . 212--227
Andrea Terracina Qualitative Behavior of the Two-Phase
Entropy Solution of a Forward-Backward
Parabolic Problem . . . . . . . . . . . 228--252
Yanjin Wang The Diffusive Limit of the
Vlasov--Boltzmann System for Binary
Fluids . . . . . . . . . . . . . . . . . 253--301
Jie Ren and
Xicheng Zhang Limit Theorems for Stochastic
Differential Equations with
Discontinuous Coefficients . . . . . . . 302--321
Yongsheng Li and
Yifei Wu and
Guixiang Xu Low Regularity Global Solutions for the
Focusing Mass-Critical NLS in $ \mathbb
{R} $ . . . . . . . . . . . . . . . . . 322--340
Xiaohong Qin and
Yi Wang Large-Time Behavior of Solutions to the
Inflow Problem of Full Compressible
Navier--Stokes Equations . . . . . . . . 341--366
Almut Burchard and
Marina Chugunova On Computing the Instability Index of a
Non-Self-Adjoint Differential Operator
Associated with Coating and Rimming
Flows . . . . . . . . . . . . . . . . . 367--388
Julien Lequeurre Existence of Strong Solutions to a
Fluid-Structure System . . . . . . . . . 389--410
Feimin Huang and
Ming Mei and
Yong Wang and
Huimin Yu Asymptotic Convergence to Stationary
Waves for Unipolar Hydrodynamic Model of
Semiconductors . . . . . . . . . . . . . 411--429
Graziano Crasta and
Virginia De Cicco A Chain Rule Formula in the Space BV and
Applications to Conservation Laws . . . 430--456
J. Ye and
S. Tanveer Global Existence for a Translating
Near-Circular Hele--Shaw Bubble with
Surface Tension . . . . . . . . . . . . 457--506
Dong Li and
José L. Rodrigo On a One-Dimensional Nonlocal Flux with
Fractional Dissipation . . . . . . . . . 507--526
M. A. Fontelos and
G. Grün and
S. Jörres On a Phase-Field Model for
Electrowetting and Other Electrokinetic
Phenomena . . . . . . . . . . . . . . . 527--563
Florian M. Sebert and
Yi Ming Zou Factoring Pseudoidentity Matrix Pairs 565--576
Mathew A. Johnson and
Kevin Zumbrun and
Pascal Noble Nonlinear Stability of Viscous Roll
Waves . . . . . . . . . . . . . . . . . 577--611
Richard Kollár Homotopy Method for Nonlinear Eigenvalue
Pencils with Applications . . . . . . . 612--633
Jean F. Barros and
Eduardo S. G. Leandro The Set of Degenerate Central
Configurations in the Planar Restricted
Four-Body Problem . . . . . . . . . . . 634--661
T. Hangelbroek and
F. J. Narcowich and
X. Sun and
J. D. Ward Kernel Approximation on Manifolds II:
The $ L_\infty $ Norm of the $ L_2 $
Projector . . . . . . . . . . . . . . . 662--684
Youshan Tao and
Michael Winkler A Chemotaxis-Haptotaxis Model: The Roles
of Nonlinear Diffusion and Logistic
Source . . . . . . . . . . . . . . . . . 685--704
Paul Deuring and
Stanislav Kracmar and
Sárka Necasová On Pointwise Decay of Linearized
Stationary Incompressible Viscous Flow
around Rotating and Translating Bodies 705--738
Rustum Choksi and
Mark A. Peletier Small Volume-Fraction Limit of the
Diblock Copolymer Problem: II.
Diffuse-Interface Functional . . . . . . 739--763
João Paulo Dias and
Hermano Frid Short Wave-Long Wave Interactions for
Compressible Navier--Stokes Equations 764--787
M. Lichtner and
M. Wolfrum and
S. Yanchuk The Spectrum of Delay Differential
Equations with Large Delay . . . . . . . 788--802
Jared C. Bronski and
Zoi Rapti Counting Defect Modes in Periodic
Eigenvalue Problems . . . . . . . . . . 803--827
A. M. Shapiro and
M. I. Weinstein Radiative Decay of Bubble Oscillations
in a Compressible Fluid . . . . . . . . 828--876
Magali Lécureux-Mercier Global Smooth Solutions of Euler
Equations for van der Waals Gases . . . 877--903
Martial Agueh and
Guillaume Carlier Barycenters in the Wasserstein Space . . 904--924
Shintaro Kondo and
Atusi Tani Initial Boundary Value Problem for Model
Equations of Resistive Drift Wave
Turbulence . . . . . . . . . . . . . . . 925--943
Yue-Jun Peng and
Shu Wang and
Qilong Gu Relaxation Limit and Global Existence of
Smooth Solutions of Compressible
Euler--Maxwell Equations . . . . . . . . 944--970
M. A. Hoefer and
M. I. Weinstein Defect Modes and Homogenization of
Periodic Schrödinger Operators . . . . . 971--996
Sabine Hittmeir and
Ansgar Jüngel Cross Diffusion Preventing Blow-Up in
the Two-Dimensional Keller--Segel Model 997--1022
L. Brasco and
G. Buttazzo and
F. Santambrogio A Benamou--Brenier Approach to Branched
Transport . . . . . . . . . . . . . . . 1023--1040
J. J. Bevan Austenite as a Local Minimizer in a
Model of Material Microstructure with a
Surface Energy Term . . . . . . . . . . 1041--1073
Hongjie Dong and
Doyoon Kim Parabolic and Elliptic Systems in
Divergence Form with Variably Partially
BMO Coefficients . . . . . . . . . . . . 1075--1098
Matthias Kurzke and
Christof Melcher and
Roger Moser Vortex Motion for the
Landau--Lifshitz--Gilbert Equation with
Spin-Transfer Torque . . . . . . . . . . 1099--1121
Rinko Miyazaki and
Toshiki Naito and
Jong Son Shin Delayed Feedback Control by Commutative
Gain Matrices . . . . . . . . . . . . . 1122--1144
Raluca Felea and
Eric Todd Quinto The Microlocal Properties of the Local
$3$-D SPECT Operator . . . . . . . . . . 1145--1157
Antonín Novotný and
Milan Pokorný Weak and Variational Solutions to Steady
Equations for Compressible Heat
Conducting Fluids . . . . . . . . . . . 1158--1188
Jing Wang and
Feng Xie Singular Limit to Strong Contact
Discontinuity for a $1$D Compressible
Radiation Hydrodynamics Model . . . . . 1189--1204
Peijun Li and
Haijun Wu and
Weiying Zheng Electromagnetic Scattering by Unbounded
Rough Surfaces . . . . . . . . . . . . . 1205--1231
Patrick Gérard and
Florian Méhats The Schrödinger--Poisson System on the
Sphere . . . . . . . . . . . . . . . . . 1232--1268
Felix Krahmer and
Rachel Ward New and Improved Johnson--Lindenstrauss
Embeddings via the Restricted Isometry
Property . . . . . . . . . . . . . . . . 1269--1281
Evgeni Y. Ovcharov Strichartz Estimates for the Kinetic
Transport Equation . . . . . . . . . . . 1282--1310
Nicolas Privault and
Giovanni Luca Torrisi Density Estimation of Functionals of
Spatial Point Processes with Application
to Wireless Networks . . . . . . . . . . 1311--1344
Gianni Dal Maso and
Antonio DeSimone and
Marco Morandotti An Existence and Uniqueness Result for
the Motion of Self-Propelled
Microswimmers . . . . . . . . . . . . . 1345--1368
Masato Iida and
Roger Lui and
Hirokazu Ninomiya Stacked Fronts for Cooperative Systems
with Equal Diffusion Coefficients . . . 1369--1389
Willi Jäger and
Andro Mikeli\'c and
Maria Neuss-Radu Homogenization Limit of a Model System
for Interaction of Flow, Chemical
Reactions, and Mechanics in Cell Tissues 1390--1435
Mats Ehrnström and
Joachim Escher and
Erik Wahlén Steady Water Waves with Multiple
Critical Layers . . . . . . . . . . . . 1436--1456
Peter Binev and
Albert Cohen and
Wolfgang Dahmen and
Ronald DeVore and
Guergana Petrova and
Przemyslaw Wojtaszczyk Convergence Rates for Greedy Algorithms
in Reduced Basis Methods . . . . . . . . 1457--1472
Arnaud Debussche and
Ludovic Gouden\`ege Stochastic Cahn--Hilliard Equation with
Double Singular Nonlinearities and Two
Reflections . . . . . . . . . . . . . . 1473--1494
Martin Hanke and
Nuutti Hyvönen and
Stefanie Reusswig Erratum: An Inverse Backscatter Problem
for Electric Impedance Tomography . . . 1495--1497
Juan Luis Vázquez and
Michael Winkler The Evolution of Singularities in Fast
Diffusion Equations: Infinite-Time
Blow-Down . . . . . . . . . . . . . . . 1499--1535
J. Calder and
A. Mansouri Anisotropic Image Sharpening via
Well-Posed Sobolev Gradient Flows . . . 1536--1556
Jan Bouwe van den Berg and
Jason D. Mireles-James and
Jean-Philippe Lessard and
Konstantin Mischaikow Rigorous Numerics for Symmetric
Connecting Orbits: Even Homoclinics of
the Gray--Scott Equation . . . . . . . . 1557--1594
Feimin Huang and
Ming Mei and
Yong Wang Large Time Behavior of Solutions to
$n$-Dimensional Bipolar Hydrodynamic
Models for Semiconductors . . . . . . . 1595--1630
Shitao Liu and
Roberto Triggiani Global Uniqueness and Stability in
Determining the Damping Coefficient of
an Inverse Hyperbolic Problem with
NonHomogeneous Neumann B.C. through an
Additional Dirichlet Boundary Trace . . 1631--1666
Chih-Wen Shih and
Jui-Pin Tseng Global Synchronization and Asymptotic
Phases for a Ring of Identical Cells
with Delayed Coupling . . . . . . . . . 1667--1697
Anne Cossonni\`ere and
Houssem Haddar The Electromagnetic Interior
Transmission Problem for Regions with
Cavities . . . . . . . . . . . . . . . . 1698--1715
Stephen Gustafson and
Tuoc Van Phan Stable Directions for Degenerate Excited
States of Nonlinear Schrödinger Equations 1716--1758
Abbas Moameni Stability under $ \Gamma $-Convergence
of Least Energy Solutions for Semilinear
Problems in the Whole $ R^N $ . . . . . 1759--1786
Guillaume van Baalen and
Peter Wittwer Time Periodic Solutions of the
Navier--Stokes Equations with Nonzero
Constant Boundary Conditions at Infinity 1787--1809
Michiaki Onodera Stability of the Interface of a
Hele--Shaw Flow with Two Injection
Points . . . . . . . . . . . . . . . . . 1810--1834
Ravi Srinivasan Rates of Convergence for Smoluchowski's
Coagulation Equations . . . . . . . . . 1835--1854
R. J. McCann and
M. Sosio Hölder Continuity for Optimal Multivalued
Mappings . . . . . . . . . . . . . . . . 1855--1871
Xiangdi Huang and
Jing Li and
Zhouping Xin Serrin-Type Criterion for the
Three-Dimensional Viscous Compressible
Flows . . . . . . . . . . . . . . . . . 1872--1886
Steinar Evje Weak Solutions for a Gas-Liquid Model
Relevant for Describing Gas-Kick in Oil
Wells . . . . . . . . . . . . . . . . . 1887--1922
Y. Charles Li and
Zhiwu Lin A Resolution of the Sommerfeld Paradox 1923--1954
Jimmy Garnier Accelerating Solutions in
Integro-Differential Equations . . . . . 1955--1974
Jaywan Chung and
Yong Jung Kim Relative Newtonian Potentials of Radial
Functions and Asymptotics in Nonlinear
Diffusion . . . . . . . . . . . . . . . 1975--1994
Hongjie Dong On Similarity Solutions to the
Multidimensional Aggregation Equation 1995--2008
Marius Paicu and
Arghir Zarnescu Global Existence and Regularity for the
Full Coupled Navier--Stokes and
$Q$-Tensor System . . . . . . . . . . . 2009--2049
Sun-Ho Choi and
Seung-Yeal Ha Asymptotic Behavior of the Nonlinear
Vlasov Equation with a Self-Consistent
Force . . . . . . . . . . . . . . . . . 2050--2077
Gaurav Thakur and
Hau-Tieng Wu Synchrosqueezing-Based Recovery of
Instantaneous Frequency from Nonuniform
Samples . . . . . . . . . . . . . . . . 2078--2095
Katsiaryna Krupchyk and
Matti Lassas and
Samuli Siltanen Determining Electrical and Heat Transfer
Parameters Using Coupled Boundary
Measurements . . . . . . . . . . . . . . 2096--2115
Agissilaos Athanassoulis and
Thierry Paul Strong Phase-Space Semiclassical
Asymptotics . . . . . . . . . . . . . . 2116--2149
Lucas Chesnel and
Patrick Ciarlet, Jr. Compact Imbeddings in Electromagnetism
with Interfaces between Classical
Materials and Metamaterials . . . . . . 2150--2169
Tetsu Mizumachi $N$-Soliton States of the
Fermi--Pasta--Ulam Lattices . . . . . . 2170--2210
Rajesh Mahadevan and
T. Muthukumar Homogenization of Some Cheap Control
Problems . . . . . . . . . . . . . . . . 2211--2229
A. A. Mailybaev and
D. Marchesin and
J. Bruining Resonance in Low-Temperature Oxidation
Waves for Porous Media . . . . . . . . . 2230--2252
Hermano Frid and
Helge Holden and
Kenneth H. Karlsen $ L^\infty $ Solutions for a Model of
Nonisothermal Polytropic Gas Flow . . . 2253--2274
Slim Ibrahim and
Sahbi Keraani Global Small Solutions for the
Navier--Stokes--Maxwell System . . . . . 2275--2295
Alexandre Eremenko and
Sergei Ivanov Spectra of the Gurtin--Pipkin Type
Equations . . . . . . . . . . . . . . . 2296--2306
Cleopatra Christoforou and
Konstantina Trivisa Rate of Convergence for Vanishing
Viscosity Approximations to Hyperbolic
Balance Laws . . . . . . . . . . . . . . 2307--2336
Sergio Conti and
Georg Dolzmann and
Carolin Kreisbeck Asymptotic Behavior of Crystal
Plasticity with One Slip System in the
Limit of Rigid Elasticity . . . . . . . 2337--2353
Pierluigi Cesana Nematic Elastomers: Gamma-Limits for
Large Bodies and Small Particles . . . . 2354--2383
Alberto Bressan and
Ke Han Optima and Equilibria for a Model of
Traffic Flow . . . . . . . . . . . . . . 2384--2417
Houssem Haddar and
Armin Lechleiter Electromagnetic Wave Scattering from
Rough Penetrable Layers . . . . . . . . 2418--2443
Antonio Segatti and
Hao Wu Finite Dimensional Reduction and
Convergence to Equilibrium for
Incompressible Smectic-A Liquid Crystal
Flows . . . . . . . . . . . . . . . . . 2445--2481
Sandra Cerrai Averaging Principle for Systems of
Reaction--Diffusion Equations with
Polynomial Nonlinearities Perturbed by
Multiplicative Noise . . . . . . . . . . 2482--2518
Weiwei Ao and
Monica Musso and
Juncheng Wei Triple Junction Solutions for a
Singularly Perturbed Neumann Problem . . 2519--2541
Xinfu Chen and
Avner Friedman Asymptotic Analysis for the Narrow
Escape Problem . . . . . . . . . . . . . 2542--2563
Maria Colombo and
Massimo Gobbino Slow Time Behavior of the Semidiscrete
Perona--Malik Scheme in One Dimension 2564--2600
F. Cagnetti and
D. Gomes and
H. V. Tran Aubry--Mather Measures in the Nonconvex
Setting . . . . . . . . . . . . . . . . 2601--2629
Michael Hitrik and
Katsiaryna Krupchyk and
Petri Ola and
Lassi Päivärinta Transmission Eigenvalues for Elliptic
Operators . . . . . . . . . . . . . . . 2630--2639
Marzia Bisi and
José A. Cañizo and
Bertrand Lods Uniqueness in the Weakly Inelastic
Regime of the Equilibrium State to the
Boltzmann Equation Driven by a Particle
Bath . . . . . . . . . . . . . . . . . . 2640--2674
Ovidiu Savin and
Enrico Valdinoci Density Estimates for a Nonlocal
Variational Model via the Sobolev
Inequality . . . . . . . . . . . . . . . 2675--2687
Jiang Xu Global Classical Solutions to the
Compressible Euler--Maxwell Equations 2688--2718
Satoshi Masaki Energy Solution to a Schrödinger--Poisson
System in the Two-Dimensional Whole
Space . . . . . . . . . . . . . . . . . 2719--2731
Renjun Duan Dissipative Property of the
Vlasov--Maxwell--Boltzmann System with a
Uniform Ionic Background . . . . . . . . 2732--2757
Brendan Pass Uniqueness and Monge Solutions in the
Multimarginal Optimal Transportation
Problem . . . . . . . . . . . . . . . . 2758--2775
Bo Li Erratum: ``Minimization of Electrostatic
Free Energy and the Poisson--Boltzmann
Equation for Molecular Solvation with
Implicit Solvent'' . . . . . . . . . . . 2776--2777
Claudio Muñoz Dynamics of Soliton-like Solutions for
Slowly Varying, Generalized KdV
Equations: Refraction versus Reflection 1--60
Paul W. Y. Lee and
Jiayong Li New Examples Satisfying
Ma--Trudinger--Wang Conditions . . . . . 61--73
Matthias Kotschote Dynamics of Compressible Non-isothermal
Fluids of Non-Newtonian Korteweg Type 74--101
Renjun Duan and
Qingqing Liu and
Changjiang Zhu The Cauchy Problem on the Compressible
Two-fluids Euler--Maxwell Equations . . 102--133
Guillaume Bal and
François Monard Inverse Transport with Isotropic
Time-harmonic Sources . . . . . . . . . 134--161
Andreas Weinmann Interpolatory Multiscale Representation
for Functions between Manifolds . . . . 162--191
Eduard Feireisl and
Isabelle Gallagher and
Antonín Novotný A Singular Limit for Compressible
Rotating Fluids . . . . . . . . . . . . 192--205
Mathieu Colin and
Masahito Ohta Bifurcation from Semitrivial Standing
Waves and Ground States for a System of
Nonlinear Schrödinger Equations . . . . . 206--223
Abdelhadi Es-Sarhir and
Max-K. von Renesse Ergodicity of Stochastic Curve
Shortening Flow in the Plane . . . . . . 224--244
J.-F. Babadjian and
G. A. Francfort and
M. G. Mora Quasi-static Evolution in Nonassociative
Plasticity: The Cap Model . . . . . . . 245--292
C. B. Muratov and
M. Novaga Global Exponential Convergence to
Variational Traveling Waves in Cylinders 293--315
Helmut Abels Strong Well-posedness of a Diffuse
Interface Model for a Viscous,
Quasi-incompressible Two-phase Flow . . 316--340
John Sylvester Discreteness of Transmission Eigenvalues
via Upper Triangular Compact Operators 341--354
Victor Kalvin Limiting Absorption Principle and
Perfectly Matched Layer Method for
Dirichlet Laplacians in
Quasi-cylindrical Domains . . . . . . . 355--382
Gang Bao and
KiHyun Yun and
Zhengfang Zhou Stability of the Scattering from a Large
Electromagnetic Cavity in Two Dimensions 383--404
Haitao Fan and
Xiao-Biao Lin Standing Waves for Phase Transitions in
a Spherically Symmetric Nozzle . . . . . 405--436
A. I. Nazarov A Centennial of the
Zaremba--Hopf--Oleinik Lemma . . . . . . 437--453
Fabio Cavalletti Optimal Transport with Branching
Distance Costs and the Obstacle Problem 454--482
Guy Bouchitté and
Ilaria Fragal\`a and
Ilaria Lucardesi and
Pierre Seppecher Optimal Thin Torsion Rods and Cheeger
Sets . . . . . . . . . . . . . . . . . . 483--512
Evgeniy Panov On Weak Completeness of the Set of
Entropy Solutions to a Degenerate
Nonlinear Parabolic Equation . . . . . . 513--535
Murad Banaji and
David Angeli Addendum to ``Convergence in Strongly
Monotone Systems with an Increasing
First Integral'' . . . . . . . . . . . . 536--537
Ming Mei and
Chunhua Ou and
Xiao-Qiang Zhao Erratum: ``Global Stability of
Monostable Traveling Waves For Nonlocal
Time-delayed Reaction-diffusion
Equations'' . . . . . . . . . . . . . . 538--540
Ben Duan and
Zhen Luo and
Yuxi Zheng Local Existence of Classical Solutions
to Shallow Water Equations with Cauchy
Data Containing Vacuum . . . . . . . . . 541--567
Inwon Kim and
Yao Yao The Patlak--Keller--Segel Model and Its
Variations: Properties of Solutions via
Maximum Principle . . . . . . . . . . . 568--602
Nathaël Alibaud and
Simone Cifani and
Espen R. Jakobsen Continuous Dependence Estimates for
Nonlinear Fractional
Convection-diffusion Equations . . . . . 603--632
David Hoff Local Solutions of a Compressible Flow
Problem with Navier Boundary Conditions
in General Three-Dimensional Domains . . 633--650
Andrea L. Bertozzi and
John B. Garnett and
Thomas Laurent Characterization of Radially Symmetric
Finite Time Blowup in Multidimensional
Aggregation Equations . . . . . . . . . 651--681
Lorenzo Bertini and
Marcello Ponsiglione A Variational Approach to the Stationary
Solutions of the Burgers Equation . . . 682--698
Shu Wang and
Ke Wang The Mixed Layer Problem and
Quasi-Neutral Limit of the
Drift-Diffusion Model for Semiconductors 699--717
D. Cioranescu and
A. Damlamian and
P. Donato and
G. Griso and
R. Zaki The Periodic Unfolding Method in Domains
with Holes . . . . . . . . . . . . . . . 718--760
Shinya Nishibata and
Masashi Ohnawa and
Masahiro Suzuki Asymptotic Stability of Boundary Layers
to the Euler--Poisson Equations Arising
in Plasma Physics . . . . . . . . . . . 761--790
Amic Frouvelle and
Jian-Guo Liu Dynamics in a Kinetic Model of Oriented
Particles with Phase Transition . . . . 791--826
G. Furioli and
A. Pulvirenti and
E. Terraneo and
G. Toscani The Grazing Collision Limit of the
Inelastic Kac Model around a Lévy-type
Equilibrium . . . . . . . . . . . . . . 827--850
Kanghui Guo and
Demetrio Labate Optimally Sparse Representations of $3$D
Data with $ C^2$ Surface Singularities
Using Parseval Frames of Shearlets . . . 851--886
R. Decker and
V. W. Noonburg A Periodically Forced Wilson--Cowan
System with Multiple Attractors . . . . 887--905
Carlo Marinelli and
Lluís Quer-Sardanyons Existence of Weak Solutions for a Class
of Semilinear Stochastic Wave Equations 906--925
Lorenzo Bertini and
Paolo Butt\`a and
Adriana Garroni Boundary Effects in the Gradient Theory
of Phase Transitions . . . . . . . . . . 926--945
Rafael López Bifurcation of Cylinders for Wetting and
Dewetting Models with Striped Geometry 946--965
Clément Canc\`es and
Michel Pierre An Existence Result for Multidimensional
Immiscible Two-Phase Flows with
Discontinuous Capillary Pressure Field 966--992
J.-M. Bernard Steady Transport Equation in the Case
Where the Normal Component of the
Velocity Does Not Vanish on the Boundary 993--1018
F. Andreu and
V. Caselles and
J. M. Mazón and
J. Soler and
M. Verbeni Radially Symmetric Solutions of a
Tempered Diffusion Equation. A Porous
Media, Flux-Limited Case . . . . . . . . 1019--1049
Bin Cheng Singular Limits and Convergence Rates of
Compressible Euler and Rotating Shallow
Water Equations . . . . . . . . . . . . 1050--1076
Li Chen and
Jian-Guo Liu and
Jinhuan Wang Multidimensional Degenerate
Keller--Segel System with Critical
Diffusion Exponent $ 2 n / (n + 2) $ . . 1077--1102
Piotr Gwiazda and
Grzegorz Jamróz and
Anna Marciniak-Czochra Models of Discrete and Continuous Cell
Differentiation in the Framework of
Transport Equation . . . . . . . . . . . 1103--1133
Feimin Huang and
Ming Mei and
Yong Wang and
Tong Yang Long-time Behavior of Solutions to the
Bipolar Hydrodynamic Model of
Semiconductors with Boundary Effect . . 1134--1164
E. Lakshtanov and
B. Vainberg Ellipticity in the Interior Transmission
Problem in Anisotropic Media . . . . . . 1165--1174
K. Nakanishi and
W. Schlag Invariant Manifolds Around Soliton
Manifolds for the Nonlinear
Klein--Gordon Equation . . . . . . . . . 1175--1210
Mahdi Boukrouche and
Laetitia Paoli Asymptotic Analysis of a Micropolar
Fluid Flow in a Thin Domain with a Free
and Rough Boundary . . . . . . . . . . . 1211--1256
Shijin Ding and
Huanyao Wen and
Lei Yao and
Changjiang Zhu Global Spherically Symmetric Classical
Solution to Compressible Navier--Stokes
Equations with Large Initial Data and
Vacuum . . . . . . . . . . . . . . . . . 1257--1278
János Karátson Characterizing Mesh Independent
Quadratic Convergence of Newton's Method
for a Class of Elliptic Problems . . . . 1279--1303
Chengchun Hao and
Hai-Liang Li Well-Posedness for a Multidimensional
Viscous Liquid-Gas Two-Phase Flow Model 1304--1332
O. Yu. Imanuvilov and
M. Yamamoto Inverse Boundary Value Problem for
Schrödinger Equation in Two Dimensions 1333--1339
Robert Stephen Cantrell and
Chris Cosner and
Raúl Manásevich Global Bifurcation of Solutions for
Crime Modeling Equations . . . . . . . . 1340--1358
Sebastian Helmensdorfer A Model for the Behavior of Fluid
Droplets Based on Mean Curvature Flow 1359--1371
Jan van Neerven and
Mark Veraar and
Lutz Weis Maximal $ L^p $-Regularity for
Stochastic Evolution Equations . . . . . 1372--1414
Mihai Bostan Transport of Charged Particles Under
Fast Oscillating Magnetic Fields . . . . 1415--1447
Buyang Li and
Weiwei Sun Global Weak Solution for a Heat and
Sweat Transport System in
Three-Dimensional Fibrous Porous Media
with Condensation/Evaporation and
Absorption . . . . . . . . . . . . . . . 1448--1473
Yi Li and
Yaping Wu Stability of Traveling Front Solutions
with Algebraic Spatial Decay for Some
Autocatalytic Chemical Reaction Systems 1474--1521
Jin-Cheng Jiang Smoothing Property of the Gain Term of
the Boltzmann Collision Operator . . . . 1522--1543
Thomas Rey Blow Up Analysis for Anomalous Granular
Gases . . . . . . . . . . . . . . . . . 1544--1561
Stefano Bonaccorsi and
Giuseppe Da Prato and
Luciano Tubaro Asymptotic Behavior of a Class of
Nonlinear Stochastic Heat Equations with
Memory Effects . . . . . . . . . . . . . 1562--1587
C. M. Cuesta and
J. J. L. Velázquez Analysis of Oscillations in a Drainage
Equation . . . . . . . . . . . . . . . . 1588--1616
Nadia Ansini and
Caterina Ida Zeppieri Asymptotic Analysis of Nonsymmetric
Linear Operators via $ \Gamma
$-Convergence . . . . . . . . . . . . . 1617--1635
Casian Pantea On the Persistence and Global Stability
of Mass-Action Systems . . . . . . . . . 1636--1673
Thomas Lepoutre and
Michel Pierre and
Guillaume Rolland Global Well-Posedness of a Conservative
Relaxed Cross Diffusion System . . . . . 1674--1693
Sergiy Nesenenko and
Patrizio Neff Well-Posedness for Dislocation Based
Gradient Viscoplasticity I:
Subdifferential Case . . . . . . . . . . 1694--1712
Weizhu Bao and
Naoufel Ben Abdallah and
Yongyong Cai Gross--Pitaevskii--Poisson Equations for
Dipolar Bose--Einstein Condensate with
Anisotropic Confinement . . . . . . . . 1713--1741
Feimin Huang and
Mingjie Li and
Yi Wang Zero Dissipation Limit to Rarefaction
Wave with Vacuum for One-Dimensional
Compressible Navier--Stokes Equations 1742--1759
C. David Levermore and
Weiran Sun and
Konstantina Trivisa A Low Mach Number Limit of a Dispersive
Navier--Stokes System . . . . . . . . . 1760--1807
King-Yeung Lam Limiting Profiles of Semilinear Elliptic
Equations with Large Advection in
Population Dynamics II . . . . . . . . . 1808--1830
Luisa Consiglieri Thermal Expansion on Stokes--Fourier
Systems . . . . . . . . . . . . . . . . 1831--1860
Hakima Bessaih and
Annie Millet Large Deviations and the Zero Viscosity
Limit for $2$D Stochastic Navier--Stokes
Equations with Free Boundary . . . . . . 1861--1893
Hoai-Minh Nguyen and
Michael S. Vogelius Approximate Cloaking for the Full Wave
Equation via Change of Variables . . . . 1894--1924
Matthias Eller On Symmetric Hyperbolic Boundary
Problems with Nonhomogeneous
Conservative Boundary Conditions . . . . 1925--1949
Noureddine Igbida A Partial Integrodifferential Equation
in Granular Matter and Its Connection
with a Stochastic Model . . . . . . . . 1950--1975
Priyanjana M. N. Dharmawardane and
Tohru Nakamura and
Shuichi Kawashima Decay Estimates of Solutions for
Quasi-Linear Hyperbolic Systems of
Viscoelasticity . . . . . . . . . . . . 1976--2001
Yoshihiro Ueda and
Shu Wang and
Shuichi Kawashima Dissipative Structure of the
Regularity-Loss Type and Time Asymptotic
Decay of Solutions for the
Euler--Maxwell System . . . . . . . . . 2002--2017
Jean-Marie Bernard Problem of Second Grade Fluids in Convex
Polyhedrons . . . . . . . . . . . . . . 2018--2038
John K. Hunter and
Mihaela Ifrim Enhanced Life Span of Smooth Solutions
of a Burgers--Hilbert Equation . . . . . 2039--2052
Rita Ferreira and
Irene Fonseca Reiterated Homogenization in $ B V $ via
Multiscale Convergence . . . . . . . . . 2053--2098
Alexander Elbert and
Grigory Panasenko Asymptotic Analysis of the
One-Dimensional Diffusion-Absorption
Equation with Rapidly and Strongly
Oscillating Absorption Coefficient . . . 2099--2119
Brian M. Haines and
Anna L. Mazzucato A Proof of Einstein's Effective
Viscosity for a Dilute Suspension of
Spheres . . . . . . . . . . . . . . . . 2120--2145
Shuxing Chen and
Aifang Qu Two-Dimensional Riemann Problems for
Chaplygin Gas . . . . . . . . . . . . . 2146--2178
Stefano Bianchini and
Daniela Tonon SBV Regularity for Hamilton--Jacobi
Equations with Hamiltonian Depending on
$ (t, x) $ . . . . . . . . . . . . . . . 2179--2203
Antonino Morassi and
Edi Rosset and
Sergio Vessella Stable Determination of a Rigid
Inclusion in an Anisotropic Elastic
Plate . . . . . . . . . . . . . . . . . 2204--2235
Youngmi Hur and
Amos Ron High-Performance Very Local Riesz
Wavelet Bases of $ L_2 ({\mathbb {R}^n})
$ . . . . . . . . . . . . . . . . . . . 2237--2265
Ting Zhang and
Daoyuan Fang Global Existence of Strong Solution for
Equations Related to the Incompressible
Viscoelastic Fluids in the Critical $
L^p $ Framework . . . . . . . . . . . . 2266--2288
Francis Ribaud and
Stéphane Vento Well-Posedness Results for the
Three-Dimensional Zakharov--Kuznetsov
Equation . . . . . . . . . . . . . . . . 2289--2304
R. Mikulevicius and
H. Pragarauskas On $ L_p $-Estimates of Some Singular
Integrals Related to Jump Processes . . 2305--2328
Vladimir Andrievskii Approximation of Functions by
Reciprocals of Polynomials on a
Quasi-Smooth Arc . . . . . . . . . . . . 2329--2343
Volker Elling and
Joseph Roberts Steady and Self-Similar Inviscid Flow 2344--2371
Lucia Scardia and
Caterina Ida Zeppieri Line-Tension Model for Plasticity as the
$ \Gamma $-Limit of a Nonlinear
Dislocation Energy . . . . . . . . . . . 2372--2400
Qingwen Hu and
Jianhong Wu and
Xingfu Zou Estimates of Periods and Global Continua
of Periodic Solutions for
State-Dependent Delay Equations . . . . 2401--2427
Nicola Guglielmi and
Ernst Hairer Asymptotic Expansions for Regularized
State-Dependent Neutral Delay Equations 2428--2458
Andreas D. Ioannidis and
Gerhard Kristensson and
Ioannis G. Stratis On the Well-Posedness of the Maxwell
System for Linear Bianisotropic Media 2459--2473
Mikko Salo and
Xiao Zhong An Inverse Problem for the
$p$-Laplacian: Boundary Determination 2474--2495
Ugo Bessi Chaotic Motions for a Version of the
Vlasov Equation . . . . . . . . . . . . 2496--2525
Akitaka Matsumura and
Natsumi Yoshida Asymptotic Behavior of Solutions to the
Cauchy Problem for the Scalar Viscous
Conservation Law with Partially Linearly
Degenerate Flux . . . . . . . . . . . . 2526--2544
Pavol Quittner and
Philippe Souplet Symmetry of Components for Semilinear
Elliptic Systems . . . . . . . . . . . . 2545--2559
Chanwoo Kim and
Seok-Bae Yun The Boltzmann Equation Near a Rotational
Local Maxwellian . . . . . . . . . . . . 2560--2598
Jens Markus Melenk Mapping Properties of Combined Field
Helmholtz Boundary Integral Operators 2599--2636
Juan Galvis and
Marcus Sarkis Regularity Results for the Ordinary
Product Stochastic Pressure Equation . . 2637--2665
Carlos Jerez-Hanckes and
Jean-Claude Nédélec Explicit Variational Forms for the
Inverses of Integral Logarithmic
Operators Over an Interval . . . . . . . 2666--2694
Shijin Deng and
Weike Wang and
Shih-Hsien Yu Viscous Conservation Laws with Boundary 2695--2755
Miroslav Bulícek and
Piotr Gwiazda and
Josef Málek and
Agnieszka \'Swierczewska-Gwiazda On Unsteady Flows of Implicitly
Constituted Incompressible Fluids . . . 2756--2801
Yang Wang and
Zhiqiang Xu The Performance of PCM Quantization
Under Tight Frame Representations . . . 2802--2823
Juan Antonio Barceló and
Magali Folch-Gabayet and
Salvador Pérez-Esteva and
Alberto Ruiz and
Mari Cruz Vilela A Born Approximation for Live Loads in
Navier Elasticity . . . . . . . . . . . 2824--2846
Hiroaki Niikuni On the Degenerate Spectral Gaps of the
One-Dimensional Schrödinger Operators
with Periodic Point Interactions . . . . 2847--2870
Jun Kitagawa and
Micah Warren Regularity for the Optimal
Transportation Problem with Euclidean
Distance Squared Cost on the Embedded
Sphere . . . . . . . . . . . . . . . . . 2871--2887
Gui-Qiang G. Chen and
Xuemei Deng and
Wei Xiang Global Steady Subsonic Flows through
Infinitely Long Nozzles for the Full
Euler Equations . . . . . . . . . . . . 2888--2919
Mei Ming and
Ping Zhang and
Zhifei Zhang Long-Wave Approximation to the $3$-D
Capillary-Gravity Waves . . . . . . . . 2920--2948
R. G. Salakhudinov Refined Inequalities for Euclidean
Moments of a Domain with Respect to Its
Boundary . . . . . . . . . . . . . . . . 2949--2961
Gitta Kutyniok and
Jakob Lemvig and
Wang-Q Lim Optimally Sparse Approximations of $3$D
Functions by Compactly Supported
Shearlet Frames . . . . . . . . . . . . 2962--3017
Corentin Audiard Dispersive Smoothing for the
Euler--Korteweg Model . . . . . . . . . 3018--3040
Laurent Chupin and
Sébastien Martin Rigorous Derivation of the Thin Film
Approximation with Roughness-Induced
Correctors . . . . . . . . . . . . . . . 3041--3070
Cristina Brändle and
Emmanuel Chasseigne and
Fernando Quirós Phase Transitions with Midrange
Interactions: a Nonlocal Stefan Model 3071--3100
Olivier Glass and
Franck Sueur On the Motion of a Rigid Body in a
Two-Dimensional Irregular Ideal Flow . . 3101--3126
Jae Ryong Kweon Corner Singularity Dynamics and
Regularity of Compressible Viscous
Navier--Stokes Flows . . . . . . . . . . 3127--3161
Eric Joseph Hall Accelerated Spatial Approximations for
Time Discretized Stochastic Partial
Differential Equations . . . . . . . . . 3162--3185
Jean Dolbeault and
Bruno Nazaret and
Giuseppe Savaré From Poincaré to Logarithmic Sobolev
Inequalities: a Gradient Flow Approach 3186--3216
Duvan Henao and
Apala Majumdar Symmetry of Uniaxial Global Landau--de
Gennes Minimizers in the Theory of
Nematic Liquid Crystals . . . . . . . . 3217--3241
D. C. Antonopoulou and
D. Blömker and
G. D. Karali Front Motion in the One-Dimensional
Stochastic Cahn--Hilliard Equation . . . 3242--3280
Yanjin Wang Global Solution and Time Decay of the
Vlasov--Poisson--Landau System in $
\mathbb {R}^3 $ . . . . . . . . . . . . 3281--3323
Lei Yao and
Changjiang Zhu and
Ruizhao Zi Incompressible Limit of Viscous
Liquid-Gas Two-Phase Flow Model . . . . 3324--3345
Christoph Boeckle and
Peter Wittwer Decay Estimates for Steady Solutions of
the Navier--Stokes Equations in Two
Dimensions in the Presence of a Wall . . 3346--3368
M. D. Korzec and
P. Nayar and
P. Rybka Global Weak Solutions to a Sixth Order
Cahn--Hilliard Type Equation . . . . . . 3369--3387
Masashi Aiki and
Tatsuo Iguchi Solvability of an Initial-Boundary Value
Problem for a Second Order Parabolic
System with a Third Order Dispersion
Term . . . . . . . . . . . . . . . . . . 3388--3411
Kotaro Tsugawa Local Well-Posedness of the KdV Equation
with Quasi-Periodic Initial Data . . . . 3412--3428
Shu Wang and
Yuehong Feng and
Xin Li The Asymptotic Behavior of Globally
Smooth Solutions of Bipolar
Nonisentropic Compressible
Euler--Maxwell System for Plasma . . . . 3429--3457
Giovanni Bellettini and
Lorenzo Bertini and
Mauro Mariani and
Matteo Novaga Convergence of the One-Dimensional
Cahn--Hilliard Equation . . . . . . . . 3458--3480
Nicolas Burq and
Semyon Dyatlov and
Rachel Ward and
Maciej Zworski Weighted Eigenfunction Estimates with
Applications to Compressed Sensing . . . 3481--3501
Zhi-An Wang and
Michael Winkler and
Dariusz Wrzosek Global Regularity versus Infinite-Time
Singularity Formation in a Chemotaxis
Model with Volume-Filling Effect and
Degenerate Diffusion . . . . . . . . . . 3502--3525
Nuutti Hyvönen and
Petteri Piiroinen and
Otto Seiskari Point Measurements for a
Neumann-to--Dirichlet Map and the
Calderón Problem in the Plane . . . . . . 3526--3536
Alberto Bressan and
Feimin Huang and
Yong Wang and
Tong Yang On the Convergence Rate of Vanishing
Viscosity Approximations for Nonlinear
Hyperbolic Systems . . . . . . . . . . . 3537--3563
Chiun-Chuan Chen and
Theodore Kolokolnikov Simple PDE Model of Spot Replication in
Any Dimension . . . . . . . . . . . . . 3564--3593
L. Diening and
D. Lengeler and
B. Stroffolini and
A. Verde Partial Regularity for Minimizers of
Quasi-convex Functionals with General
Growth . . . . . . . . . . . . . . . . . 3594--3616
Hailiang Liu and
Jaemin Shin The Cauchy--Dirichlet Problem for the
Finitely Extensible Nonlinear Elastic
Dumbbell Model of Polymeric Fluids . . . 3617--3648
Juhi Jang and
Nader Masmoudi Derivation of Ohm's Law from the Kinetic
Equations . . . . . . . . . . . . . . . 3649--3669
Yaniv Almog and
Bernard Helffer and
Xing-Bin Pan Superconductivity near the Normal State
in a Half-Plane under the Action of a
Perpendicular Electric Current and an
Induced Magnetic Field, Part II: The
Large Conductivity Limit . . . . . . . . 3671--3733
Pierluigi Colli and
Philippe Laurençot A Phase-Field Approximation of the
Willmore Flow with Volume and Area
Constraints . . . . . . . . . . . . . . 3734--3754
Yanheng Ding and
Bernhard Ruf Existence and Concentration of
Semiclassical Solutions for Dirac
Equations with Critical Nonlinearities 3755--3785
Masakazu Yamamoto Asymptotic Expansion of Solutions to the
Dissipative Equation with Fractional
Laplacian . . . . . . . . . . . . . . . 3786--3805
Pierre-Henri Cocquet and
Pierre-Alain Mazet and
Vincent Mouysset On the Existence and Uniqueness of a
Solution for Some Frequency-Dependent
Partial Differential Equations Coming
from the Modeling of Metamaterials . . . 3806--3833
Ray Treinen On the Symmetry of Solutions to Some
Floating Drop Problems . . . . . . . . . 3834--3847
Guillaume Bal and
Naoufel Ben Abdallah and
Marjolaine Puel A Corrector Theory for
Diffusion-Homogenization Limits of
Linear Transport Equations . . . . . . . 3848--3873
Annegret Glitzky An Electronic Model for Solar Cells
Including Active Interfaces and Energy
Resolved Defect Densities . . . . . . . 3874--3900
Xifeng Su and
Rafael de la Llave KAM Theory for Quasi-periodic Equilibria
in One-Dimensional Quasi-periodic Media 3901--3927
Mohammed Lemou and
Florian Méhats and
Cyril Rigault Stable Ground States and Self-Similar
Blow-Up Solutions for the Gravitational
Vlasov--Manev System . . . . . . . . . . 3928--3968
Amir Moradifam and
Adrian Nachman and
Alexandru Tamasan Conductivity Imaging from One Interior
Measurement in the Presence of Perfectly
Conducting and Insulating Inclusions . . 3969--3990
Juncheng Wei and
Jun Yang Vortex Ring Pinning for the
Gross--Pitaevskii Equation in
Three-Dimensional Space . . . . . . . . 3991--4047
Antonin Chambolle and
Massimiliano Morini and
Marcello Ponsiglione A Nonlocal Mean Curvature Flow and Its
Semi-implicit Time-Discrete
Approximation . . . . . . . . . . . . . 4048--4077
Mei Ming and
Jean Claude Saut and
Ping Zhang Long-Time Existence of Solutions to
Boussinesq Systems . . . . . . . . . . . 4078--4100
Johannes Elschner and
Guanghui Hu Elastic Scattering by Unbounded Rough
Surfaces . . . . . . . . . . . . . . . . 4101--4127
Carlota M. Cuesta and
Sabine Hittmeir and
Christian Schmeiser Traveling Waves of a Kinetic Transport
Model for the KPP-Fisher Equation . . . 4128--4146
M. B. Erdogan and
N. Tzirakis and
V. Zharnitsky High Frequency Perturbation of Cnoidal
Waves in KdV . . . . . . . . . . . . . . 4147--4164
Giambattista Giacomin and
Khashayar Pakdaman and
Xavier Pellegrin and
Christophe Poquet Transitions in Active Rotator Systems:
Invariant Hyperbolic Manifold Approach 4165--4194
Felipe Linares and
Didier Pilod and
Jean-Claude Saut Well-Posedness of Strongly Dispersive
Two-Dimensional Surface Wave Boussinesq
Systems . . . . . . . . . . . . . . . . 4195--4221
I. V. Kamotski and
V. G. Maz'ya On the Linear Water Wave Problem in the
Presence of a Critically Submerged Body 4222--4249
Karthik S. Gurumoorthy and
Anand Rangarajan Distance Transform Gradient Density
Estimation Using the Stationary Phase
Approximation . . . . . . . . . . . . . 4250--4273
Chang-Yeol Jung and
Roger Temam Singular Perturbations and Boundary
Layer Theory for Convection-Diffusion
Equations in a Circle: The Generic
Noncompatible Case . . . . . . . . . . . 4274--4296
Sepideh Mirrahimi and
Guy Barles and
Beno\^\it Perthame and
Panagiotis E. Souganidis A Singular Hamilton--Jacobi Equation
Modeling the Tail Problem . . . . . . . 4297--4319
D. A. Mitsoudis and
Ch. Makridakis and
M. Plexousakis Helmholtz Equation with Artificial
Boundary Conditions in a Two-Dimensional
Waveguide . . . . . . . . . . . . . . . 4320--4344
Karsten Matthies and
Florian Theil A Semigroup Approach to the
Justification of Kinetic Theory . . . . 4345--4379
Martin Kolb and
Mladen Savov and
Achim Wübker (Non-)Ergodicity of a Degenerate
Diffusion Modeling the Fiber Lay Down
Process . . . . . . . . . . . . . . . . 1--13
Wael W. Mohammed and
Dirk Blömker and
Konrad Klepel Modulation Equation for Stochastic
Swift--Hohenberg Equation . . . . . . . 14--30
Giulio Schimperna and
Irena Pawlow On a Class of Cahn--Hilliard Models with
Nonlinear Diffusion . . . . . . . . . . 31--63
Nicolas Bonnotte From Knothe's Rearrangement to Brenier's
Optimal Transport Map . . . . . . . . . 64--87
M. Di Cristo and
C.-L. Lin and
S. Vessella and
J.-N. Wang Size Estimates of the Inverse Inclusion
Problem for the Shallow Shell Equation 88--100
Tomás Roubícek Adhesive Contact of Visco-elastic Bodies
and Defect Measures Arising by Vanishing
Viscosity . . . . . . . . . . . . . . . 101--126
Zuowei Shen and
Zhiqiang Xu On B-Spline Framelets Derived from the
Unitary Extension Principle . . . . . . 127--151
Helge Holden and
Kenneth H. Karlsen and
Trygve K. Karper Operator Splitting for Well-Posed Active
Scalar Equations . . . . . . . . . . . . 152--180
Hao Wu and
Xiang Xu Strong Solutions, Global Regularity, and
Stability of a Hydrodynamic System
Modeling Vesicle and Fluid Interactions 181--214
Trygve K. Karper and
Antoine Mellet and
Konstantina Trivisa Existence of Weak Solutions to Kinetic
Flocking Models . . . . . . . . . . . . 215--243
Thierry Cazenave and
Flávio Dickstein and
Fred B. Weissler Finite-Time Blowup for a Complex
Ginzburg--Landau Equation . . . . . . . 244--266
Pierre Germain and
Nader Masmoudi and
Benoit Pausader Nonneutral Global Solutions for the
Electron Euler--Poisson System in Three
Dimensions . . . . . . . . . . . . . . . 267--278
Naoyuki Ichihara and
Shuenn-Jyi Sheu Large Time Behavior of Solutions of
Hamilton--Jacobi--Bellman Equations with
Quadratic Nonlinearity in Gradients . . 279--306
Ismaël Bouya Instability of the Forced
Magnetohydrodynamics System at Small
Reynolds Number . . . . . . . . . . . . 307--323
Luca Mugnai and
Christian Seis On the Coarsening Rates for
Attachment-Limited Kinetics . . . . . . 324--344
Christophe Prange Asymptotic Analysis of Boundary Layer
Correctors in Periodic Homogenization 345--387
Yutian Lei Qualitative Analysis for the Static
Hartree-Type Equations . . . . . . . . . 388--406
Christof Melcher and
Mariya Ptashnyk Landau--Lifshitz--Slonczewski Equations:
Global Weak and Classical Solutions . . 407--429
Huanyao Wen and
Changjiang Zhu Global Classical Large Solutions to
Navier--Stokes Equations for Viscous
Compressible and Heat-Conducting Fluids
with Vacuum . . . . . . . . . . . . . . 431--468
Frédéric Charve and
Boris Haspot Existence of a Global Strong Solution
and Vanishing Capillarity-Viscosity
Limit in One Dimension for the Korteweg
System . . . . . . . . . . . . . . . . . 469--494
Ryan Hynd Partial Regularity of Weak Solutions of
the Viscoelastic Navier--Stokes
Equations with Damping . . . . . . . . . 495--517
Steinar Evje A Compressible Two-Phase Model with
Pressure-Dependent Well-Reservoir
Interaction . . . . . . . . . . . . . . 518--546
Zhong Tan and
Tong Yang and
Huijiang Zhao and
Qingyang Zou Global Solutions to the One-Dimensional
Compressible Navier--Stokes--Poisson
Equations with Large Data . . . . . . . 547--571
Valérie Le Blanc Persistence of Generalized Roll-Waves
under Viscous Perturbation . . . . . . . 572--599
A. N. Carvalho and
J. W. Cholewa and
G. Lozada-Cruz and
M. R. T. Primo Reduction of Infinite Dimensional
Systems to Finite Dimensions: Compact
Convergence Approach . . . . . . . . . . 600--638
András Kroó and
Allan Pinkus On Stability of the Metric Projection
Operator . . . . . . . . . . . . . . . . 639--661
Patricio Felmer and
Miguel Yangari Fast Propagation for Fractional KPP
Equations with Slowly Decaying Initial
Conditions . . . . . . . . . . . . . . . 662--678
Elena Beretta and
Maarten V. de Hoop and
Lingyun Qiu Lipschitz Stability of an Inverse
Boundary Value Problem for a
Schrödinger-Type Equation . . . . . . . . 679--699
J. Hulshof and
R. Nolet and
G. Prokert Existence of Solutions to the Diffusive
VSC Model . . . . . . . . . . . . . . . 700--727
Jaywan Chung and
Yong Jung Kim Addendum to ``Relative Newtonian
Potentials of Radial Functions and
Asymptotics in Nonlinear Diffusion'' . . 728--731
Friedrich Littmann Quadrature and Extremal Bandlimited
Functions . . . . . . . . . . . . . . . 732--747
Cristiana Di Russo and
Alice Sepe Existence and Asymptotic Behavior of
Solutions to a Quasi-linear
Hyperbolic-Parabolic Model of
Vasculogenesis . . . . . . . . . . . . . 748--776
Toan T. Nguyen and
Walter A. Strauss Stability Analysis of Collisionless
Plasmas with Specularly Reflecting
Boundary . . . . . . . . . . . . . . . . 777--808
Frederic Frank Weller and
Maria Neuss-Radu and
Willi Jäger Analysis of a Free Boundary Problem
Modeling Thrombus Growth . . . . . . . . 809--833
Xueke Pu Dispersive Limit of the Euler--Poisson
System in Higher Dimensions . . . . . . 834--878
Nicola Gigli and
Jan Maas Gromov--Hausdorff Convergence of
Discrete Transportation Metrics . . . . 879--899
Tobias Ramming and
Gerhard Rein Spherically Symmetric Equilibria for
Self-Gravitating Kinetic or Fluid Models
in the Nonrelativistic and Relativistic
Case --- A Simple Proof for Finite
Extension . . . . . . . . . . . . . . . 900--914
Li Chen and
Donatella Donatelli and
Pierangelo Marcati Incompressible Type Limit Analysis of a
Hydrodynamic Model for Charge-Carrier
Transport . . . . . . . . . . . . . . . 915--933
Jacob Bedrossian and
Inwon C. Kim Global Existence and Finite Time Blow-Up
for Critical Patlak--Keller--Segel
Models with Inhomogeneous Diffusion . . 934--964
Maurizio Grasselli and
Hao Wu Long-Time Behavior for a Hydrodynamic
Model on Nematic Liquid Crystal Flows
with Asymptotic Stabilizing Boundary
Condition and External Force . . . . . . 965--1002
Lucio Damascelli and
Filomena Pacella Symmetry Results for Cooperative
Elliptic Systems via Linearization . . . 1003--1026
Rupert L. Frank and
Hynek Kovarík Heat Kernels of Metric Trees and
Applications . . . . . . . . . . . . . . 1027--1046
Adina Ciomaga and
Jean-Michel Morel A Proof of Equivalence between Level
Lines Shortening and Curvature Motion in
Image Processing . . . . . . . . . . . . 1047--1067
H. J. Hupkes and
E. S. Van Vleck Negative Diffusion and Traveling Waves
in High Dimensional Lattice Systems . . 1068--1135
Grégoire Allaire and
Zakaria Habibi Homogenization of a Conductive,
Convective, and Radiative Heat Transfer
Problem in a Heterogeneous Domain . . . 1136--1178
Xiuqing Chen and
Jian-Guo Liu Analysis of Polymeric Flow Models and
Related Compactness Theorems in Weighted
Spaces . . . . . . . . . . . . . . . . . 1179--1215
Yu Hou and
Peng Zhao and
Engui Fan and
Zhijun Qiao Algebro-geometric Solutions for the
Degasperis--Procesi Hierarchy . . . . . 1216--1266
Mathieu Lewin and
Nicolas Rougerie Derivation of Pekar's Polarons from a
Microscopic Model of Quantum Crystal . . 1267--1301
V. Chiad\`o Piat and
I. Pankratova and
A. Piatnitski Localization Effect for a Spectral
Problem in a Perforated Domain with
Fourier Boundary Conditions . . . . . . 1302--1327
Pavel Gurevich and
Roman Shamin and
Sergey Tikhomirov Reaction--Diffusion Equations with
Spatially Distributed Hysteresis . . . . 1328--1355
Hai-Liang Li and
Xinying Xu and
Jianwen Zhang Global Classical Solutions to $3$D
Compressible Magnetohydrodynamic
Equations with Large Oscillations and
Vacuum . . . . . . . . . . . . . . . . . 1356--1387
Paul Deuring Spatial Decay of Time-Dependent
Incompressible Navier--Stokes Flows with
Nonzero Velocity at Infinity . . . . . . 1388--1421
Jiang Xu and
Jun Xiong and
Shuichi Kawashima Global Well-Posedness in Critical Besov
Spaces for Two-Fluid Euler--Maxwell
Equations . . . . . . . . . . . . . . . 1422--1447
Hao Jia and
Vladimír Sverák Minimal $ L^3 $-Initial Data for
Potential Navier--Stokes Singularities 1448--1459
Agnes Lamacz and
Ben Schweizer Effective Maxwell Equations in a
Geometry with Flat Rings of Arbitrary
Shape . . . . . . . . . . . . . . . . . 1460--1494
M. I. Isaev and
R. G. Novikov New Global Stability Estimates for
Monochromatic Inverse Acoustic
Scattering . . . . . . . . . . . . . . . 1495--1504
Zheng Han and
Daoyuan Fang On the Unconditional Uniqueness for NLS
in $ \dot {H}^s $ . . . . . . . . . . . 1505--1526
Romain Veltz and
Olivier Faugeras A Center Manifold Result for Delayed
Neural Fields Equations . . . . . . . . 1527--1562
Corrado Lattanzio and
Athanasios E. Tzavaras Relative Entropy in Diffusive Relaxation 1563--1584
Julian Fischer Advection-Driven Support Shrinking in a
Chemotaxis Model with Degenerate
Mobility . . . . . . . . . . . . . . . . 1585--1615
Mikhail Feldman and
Adrian Tudorascu On Lagrangian Solutions for the
Semi-geostrophic System with Singular
Initial Data . . . . . . . . . . . . . . 1616--1640
J. Casado-Díaz and
M. Luna-Laynez and
F. J. Suárez-Grau Asymptotic Behavior of the
Navier--Stokes System in a Thin Domain
with Navier Condition on a Slightly
Rough Boundary . . . . . . . . . . . . . 1641--1674
P. Gaitan and
H. Isozaki and
O. Poisson and
S. Siltanen and
J. P. Tamminen Inverse Problems for Time-Dependent
Singular Heat Conductivities ---
One-Dimensional Case . . . . . . . . . . 1675--1690
Yuzhao Wang Periodic Nonlinear Schrödinger Equation
in Critical $ H^s(\mathbb {T}^n) $
Spaces . . . . . . . . . . . . . . . . . 1691--1703
Habib Ammari and
Josselin Garnier and
Knut Sòlna Partial Data Resolving Power of
Conductivity Imaging from Boundary
Measurements . . . . . . . . . . . . . . 1704--1722
Lorenzo Giacomelli and
José M. Mazón and
Salvador Moll The $1$-Harmonic Flow with Values into $
\mathbb S^1 $ . . . . . . . . . . . . . 1723--1740
Feimin Huang and
Yi Wang and
Yong Wang and
Tong Yang The Limit of the Boltzmann Equation to
the Euler Equations for Riemann Problems 1741--1811
Guido De Philippis and
Alessio Figalli Sobolev Regularity for Monge--Amp\`ere
Type Equations . . . . . . . . . . . . . 1812--1824
Paolo Acquistapace and
Francesca Bucci and
Irena Lasiecka A Theory of the Infinite Horizon
LQ-Problem for Composite Systems of PDEs
with Boundary Control . . . . . . . . . 1825--1870
C. Bardos and
M. C. Lopes Filho and
Dongjuan Niu and
H. J. Nussenzveig Lopes and
E. S. Titi Stability of Two-Dimensional Viscous
Incompressible Flows under
Three-Dimensional Perturbations and
Inviscid Symmetry Breaking . . . . . . . 1871--1885
Marina Ghisi Asymptotic Limits for Mildly Degenerate
Kirchhoff Equations . . . . . . . . . . 1886--1906
Didier Jesslé and
Bum Ja Jin and
Antonín Novotný Navier--Stokes--Fourier System on
Unbounded Domains: Weak Solutions,
Relative Entropies, Weak-Strong
Uniqueness . . . . . . . . . . . . . . . 1907--1951
Giuseppe Maria Capriani and
Vesa Julin and
Giovanni Pisante A Quantitative Second Order Minimality
Criterion for Cavities in Elastic Bodies 1952--1991
Namkwon Kim Corrigendum: Large Friction Limit and
the Inviscid Limit of $2$D
Navier--Stokes Equations under Navier
Friction Condition . . . . . . . . . . . 1992--1994
Yihong Du and
Zhigui Lin Erratum: Spreading-Vanishing Dichotomy
in the Diffusive Logistic Model with a
Free Boundary . . . . . . . . . . . . . 1995--1996
Irena Pawlow and
Wojciech M. Zaj\kaczkowski Global Regular Solutions to a
Kelvin--Voigt Type Thermoviscoelastic
System . . . . . . . . . . . . . . . . . 1997--2045
Eric Baer and
Alexis Vasseur A Bound from Below on the Temperature
for the Navier--Stokes--Fourier System 2046--2063
Constantine M. Dafermos Long Time Behavior of Periodic Solutions
to Scalar Conservation Laws in Several
Space Dimensions . . . . . . . . . . . . 2064--2070
Eric Joseph Hall Higher Order Spatial Approximations for
Degenerate Parabolic Stochastic Partial
Differential Equations . . . . . . . . . 2071--2098
Julien Sabin Charge Renormalization and Static
Electron/Positron Pair Production for a
Nonlinear Dirac Model with Weak
Interactions . . . . . . . . . . . . . . 2099--2147
Michela Procesi and
Xindong Xu Quasi-Töplitz Functions in KAM Theorem 2148--2181
Samuel Walsh and
Oliver Bühler and
Jalal Shatah Steady Water Waves in the Presence of
Wind . . . . . . . . . . . . . . . . . . 2182--2227
Jiaxing Hong and
Ge Yang On the Regularity of Solutions to FENE
Models . . . . . . . . . . . . . . . . . 2228--2252
Jun Chen and
Xing-Bin Pan Functionals with Operator Curl in an
Extended Magnetostatic Born--Infeld
Model . . . . . . . . . . . . . . . . . 2253--2284
Avner Friedman and
Bei Hu and
James P. Keener The Diffusion Approximation for Linear
Nonautonomous Reaction-Hyperbolic
Equations . . . . . . . . . . . . . . . 2285--2298
Mingwen Fei and
Huicheng Yin Bound States of $2$-D Nonlinear
Schrödinger Equations with Potentials
Tending to Zero at Infinity . . . . . . 2299--2331
Roberto Gianni and
Fabio Rosso Modeling Degradating Dispersions in a
Three-Dimensional Finite Container under
General Boundary Conditions . . . . . . 2332--2353
Nicolas Popoff and
Nicolas Raymond When the $3$D Magnetic Laplacian Meets a
Curved Edge in the Semiclassical Limit 2354--2395
Salah-Eldin A. Mohammed and
Tusheng Zhang Stochastic Burgers Equation with Random
Initial Velocities: a Malliavin Calculus
Approach . . . . . . . . . . . . . . . . 2396--2420
Ansgar Jüngel and
Ines Viktoria Stelzer Existence Analysis of Maxwell--Stefan
Systems for Multicomponent Mixtures . . 2421--2440
Benjamin J. Fehrman Stochastic Homogenization of Monotone
Systems of Viscous Hamilton--Jacobi
Equations with Convex Nonlinearities . . 2441--2476
Chun Fang and
Mats Gyllenberg and
Yi Wang Floquet Bundles for Tridiagonal
Competitive-Cooperative Systems and the
Dynamics of Time-Recurrent Systems . . . 2477--2498
N. Agram and
S. Haadem and
B. Òksendal and
F. Proske A Maximum Principle for Infinite Horizon
Delay Equations . . . . . . . . . . . . 2499--2522
Sergey A. Nazarov and
Jari Taskinen Localization Estimates for
Eigenfrequencies of Waves Trapped by a
Freely Floating Body in a Channel . . . 2523--2545
Asuka Takatsu Behaviors of $ \varphi $-Exponential
Distributions in Wasserstein Geometry
and an Evolution Equation . . . . . . . 2546--2556
Brendan Pass On a Class of Optimal Transportation
Problems with Infinitely Many Marginals 2557--2575
Lucas C. F. Ferreira and
Gabriela Planas and
Elder J. Villamizar-Roa On the Nonhomogeneous Navier--Stokes
System with Navier Friction Boundary
Conditions . . . . . . . . . . . . . . . 2576--2595
Qiangchang Ju and
Fucai Li and
Yong Li Asymptotic Limits of the Full
Compressible Magnetohydrodynamic
Equations . . . . . . . . . . . . . . . 2597--2624
Michael Herrmann and
Karsten Matthies and
Hartmut Schwetlick and
Johannes Zimmer Subsonic Phase Transition Waves in
Bistable Lattice Models with Small
Spinodal Region . . . . . . . . . . . . 2625--2645
Jean-Michel Coron and
Zhiqiang Wang Output Feedback Stabilization for a
Scalar Conservation Law with a Nonlocal
Velocity . . . . . . . . . . . . . . . . 2646--2665
Wendong Wang and
Zhifei Zhang On the Interior Regularity Criteria for
Suitable Weak Solutions of the
Magnetohydrodynamics Equations . . . . . 2666--2677
Xianpeng Hu and
Hao Wu Global Solution to the Three-Dimensional
Compressible Flow of Liquid Crystals . . 2678--2699
Sungwhan Kim and
Alexandru Tamasan On a Calderón Problem in Frequency
Differential Electrical Impedance
Tomography . . . . . . . . . . . . . . . 2700--2709
Qingshan Chen and
Max Gunzburger and
Mauro Perego Well-Posedness Results for a Nonlinear
Stokes Problem Arising in Glaciology . . 2710--2733
Benjamin Gess Finite Speed of Propagation for
Stochastic Porous Media Equations . . . 2734--2766
Raluca Felea and
Romina Gaburro and
Clifford J. Nolan Microlocal Analysis of SAR Imaging of a
Dynamic Reflectivity Function . . . . . 2767--2789
Guanggan Chen and
Jinqiao Duan and
Jian Zhang Approximating Dynamics of a Singularly
Perturbed Stochastic Wave Equation with
a Random Dynamical Boundary Condition 2790--2814
Xianpeng Hu and
Guochun Wu Global Existence and Optimal Decay Rates
for Three-Dimensional Compressible
Viscoelastic Flows . . . . . . . . . . . 2815--2833
Jeremy LeCrone and
Gieri Simonett On Well-Posedness, Stability, and
Bifurcation for the Axisymmetric Surface
Diffusion Flow . . . . . . . . . . . . . 2834--2869
Shangbin Cui Asymptotic Stability of the Stationary
Solution for a Parabolic-Hyperbolic Free
Boundary Problem Modeling Tumor Growth 2870--2893
Steinar Evje Genuine Two-Phase Flow Dynamics with a
Free Interface Separating Gas-Liquid
Mixture from Gas . . . . . . . . . . . . 2894--2923
O. Costin and
S. Tanveer and
M. I. Weinstein The Lifetime of Shape Oscillations of a
Bubble in an Unbounded, Inviscid, and
Compressible Fluid with Surface Tension 2924--2936
Miles H. Wheeler Large-Amplitude Solitary Water Waves
with Vorticity . . . . . . . . . . . . . 2937--2994
Lincoln Chayes and
Inwon Kim and
Yao Yao An Aggregation Equation with Degenerate
Diffusion: Qualitative Property of
Solutions . . . . . . . . . . . . . . . 2995--3018
Xiaodong Li and
Vladislav Voroninski Sparse Signal Recovery from Quadratic
Measurements via Convex Programming . . 3019--3033
Hoai-Minh Nguyen On a Regularized Scheme for Approximate
Acoustic Cloaking Using Transformation
Optics . . . . . . . . . . . . . . . . . 3034--3049
Viet Ha Hoang and
Christoph Schwab Sparse Tensor Galerkin Discretization of
Parametric and Random Parabolic PDEs ---
Analytic Regularity and Generalized
Polynomial Chaos Approximation . . . . . 3050--3083
Corrado Mascia and
Marta Strani Metastability for Nonlinear Parabolic
Equations with Application to Scalar
Viscous Conservation Laws . . . . . . . 3084--3113
Xin Yang Lu and
Dejan Slepcev Properties of Minimizers of
Average-Distance Problem via Discrete
Approximation of Measures . . . . . . . 3114--3131
Ben Adcock and
Anders C. Hansen and
Clarice Poon Beyond Consistent Reconstructions:
Optimality and Sharp Bounds for
Generalized Sampling, and Application to
the Uniform Resampling Problem . . . . . 3132--3167
Mathew A. Johnson Stability of Small Periodic Waves in
Fractional KdV-Type Equations . . . . . 3168--3193
Quansen Jiu and
Yi Wang and
Zhouping Xin Vacuum Behaviors around Rarefaction
Waves to $1$D Compressible
Navier--Stokes Equations with
Density-Dependent Viscosity . . . . . . 3194--3228
H. Berninger and
E. Frénod and
M. Gander and
M. Liebendörfer and
J. Michaud Derivation of the Isotropic Diffusion
Source Approximation (IDSA) for
Supernova Neutrino Transport by
Asymptotic Expansions . . . . . . . . . 3229--3265
Paolo Tilli and
Davide Zucco Asymptotics of the First Laplace
Eigenvalue with Dirichlet Regions of
Prescribed Length . . . . . . . . . . . 3266--3282
Verena Bögelein and
Frank Duzaar and
Ugo Gianazza Porous Medium Type Equations with
Measure Data and Potential Estimates . . 3283--3330
N. V. Krylov An Ersatz Existence Theorem for Fully
Nonlinear Parabolic Equations without
Convexity Assumptions . . . . . . . . . 3331--3359
Alexander Y. Khapalov Micromotions of a Swimmer in the $3$-D
Incompressible Fluid Governed by the
Nonstationary Stokes Equation . . . . . 3360--3381
Bastian Harrach and
Marcel Ullrich Monotonicity-Based Shape Reconstruction
in Electrical Impedance Tomography . . . 3382--3403
Brigitte Bidégaray-Fesquet and
Eric Dumas and
Guillaume James From Newton's Cradle to the Discrete
$p$-Schrödinger Equation . . . . . . . . 3404--3430
Andrea R. Nahmod and
Natasa Pavlovi\'c and
Gigliola Staffilani Almost Sure Existence of Global Weak
Solutions for Supercritical
Navier--Stokes Equations . . . . . . . . 3431--3452
Tatiana Suslina Homogenization of the Neumann Problem
for Elliptic Systems with Periodic
Coefficients . . . . . . . . . . . . . . 3453--3493
J. A. Barceló and
Daniel Faraco and
Alberto Ruiz and
Ana Vargas Reconstruction of Discontinuities from
Backscattering Data in Two Dimensions 3494--3513
Jan Brezina Asymptotic Behavior of Solutions to the
Compressible Navier--Stokes Equation
Around a Time-Periodic Parallel Flow . . 3514--3574
A. C. L. Ashton The Spectral Dirichlet--Neumann Map for
Laplace's Equation in a Convex Polygon 3575--3591
Yun-Guang Lu Existence of Global Weak Entropy
Solutions to Some Nonstrictly Hyperbolic
Systems . . . . . . . . . . . . . . . . 3592--3610
Atsushi Anma and
Kunimochi Sakamoto Turing Type Mechanisms for Linear
Diffusion Systems under Nondiagonal
Robin Boundary Conditions . . . . . . . 3611--3628
Alfredo Bermúdez and
Rafael Munñoz-Sola and
Carlos Reales and
Rodolfo Rodríguez and
Pilar Salgado A Transient Eddy Current Problem on a
Moving Domain. Mathematical Analysis . . 3629--3650
Jiansheng Geng and
Zhiyan Zhao Quasi-periodic Solutions for
One-Dimensional Nonlinear Lattice
Schrödinger Equation with Tangent
Potential . . . . . . . . . . . . . . . 3651--3689
Daniel Coutand and
Jason Hole and
Steve Shkoller Well-Posedness of the Free-Boundary
Compressible $3$-D Euler Equations with
Surface Tension and the Zero Surface
Tension Limit . . . . . . . . . . . . . 3690--3767
Dieter Bothe and
Matthias Köhne and
Jan Prüss On a Class of Energy Preserving Boundary
Conditions for Incompressible Newtonian
Flows . . . . . . . . . . . . . . . . . 3768--3822
Nicholas D. Alikakos and
Panagiotis Antonopoulos and
Apostolos Damialis Plateau Angle Conditions for the
Vector-Valued Allen--Cahn Equation . . . 3823--3837
Yi Du and
Keyan Wang Space-Time Regularity of the Koch and
Tataru Solutions to the Liquid Crystal
Equations . . . . . . . . . . . . . . . 3838--3853
Zihua Guo and
Nakao Hayashi and
Yiquan Lin and
Pavel I. Naumkin Modified Scattering Operator for the
Derivative Nonlinear Schrödinger Equation 3854--3871
Duvan Henao and
Apala Majumdar Corrigendum: Symmetry of Uniaxial Global
Landau--de Gennes Minimizers in the
Theory of Nematic Liquid Crystals . . . 3872--3874
M. Goldman and
B. Zwicknagl Scaling Law and Reduced Models for
Epitaxially Strained Crystalline Films 1--24
Stefan Müller and
Heiner Olbermann Almost Conical Deformations of Thin
Sheets with Rotational Symmetry . . . . 25--44
Gilles Carbou Metastability of Wall Configurations in
Ferromagnetic Nanowires . . . . . . . . 45--95
André de Laire Minimal Energy for the Traveling Waves
of the Landau--Lifshitz Equation . . . . 96--132
Silvia Caprino and
Guido Cavallaro and
Carlo Marchioro On a Magnetically Confined Plasma with
Infinite Charge . . . . . . . . . . . . 133--164
Seung-Yeal Ha and
Qinghua Xiao Uniform Stability and the Propagation of
Regularity for the Relativistic
Boltzmann Equation . . . . . . . . . . . 165--191
Reema Al-Aifari and
Alexander Katsevich Spectral Analysis of the Truncated
Hilbert Transform with Overlap . . . . . 192--213
Markus Haltmeier Universal Inversion Formulas for
Recovering a Function from Spherical
Means . . . . . . . . . . . . . . . . . 214--232
José M. Mazón and
Julio D. Rossi and
Julián Toledo An Optimal Matching Problem for the
Euclidean Distance . . . . . . . . . . . 233--255
Cheng-Jie Liu and
Ya-Guang Wang Stability of Boundary Layers for the
Nonisentropic Compressible Circularly
Symmetric $2$D Flow . . . . . . . . . . 256--309
Nils Berglund and
Barbara Gentz On the Noise-Induced Passage through an
Unstable Periodic Orbit II: General Case 310--352
A. Cheskidov and
R. Shvydkoy Euler Equations and Turbulence:
Analytical Approach to Intermittency . . 353--374
Yihong Du and
Hiroshi Matsuzawa and
Maolin Zhou Sharp Estimate of the Spreading Speed
Determined by Nonlinear Free Boundary
Problems . . . . . . . . . . . . . . . . 375--396
Matt Holzer and
Arnd Scheel Accelerated Fronts in a Two-Stage
Invasion Process . . . . . . . . . . . . 397--427
Manuel Nesensohn Generalized Viscoelastic Fluids with a
Free Boundary without Surface Tension 428--458
G. Manjunath and
H. Jaeger The Dynamics of Random Difference
Equations Is Remodeled by Closed
Relations . . . . . . . . . . . . . . . 459--483
Yisong Yang and
Ruifeng Zhang Existence of Optical Vortices . . . . . 484--498
Pablo Álvarez-Caudevilla and
Yihong Du and
Rui Peng Qualitative Analysis of a Cooperative
Reaction--Diffusion System in a
Spatiotemporally Degenerate Environment 499--531
Carlos Mora-Corral Quasistatic Evolution of Cavities in
Nonlinear Elasticity . . . . . . . . . . 532--571
Ayman Kachmar The Ginzburg--Landau Order Parameter
near the Second Critical Field . . . . . 572--587
Chongsheng Cao and
Jiahong Wu and
Baoquan Yuan The $2$D Incompressible
Magnetohydrodynamics Equations with only
Magnetic Diffusion . . . . . . . . . . . 588--602
Jeff Calder and
Selim Esedoá\uglu and
Alfred O. Hero A Hamilton--Jacobi Equation for the
Continuum Limit of Nondominated Sorting 603--638
Kung-Chien Wu Pointwise Behavior of the Linearized
Boltzmann Equation on a Torus . . . . . 639--656
Chao-Nien Chen and
Shih-Yin Kung and
Yoshihisa Morita Planar Standing Wavefronts in the
FitzHugh--Nagumo Equations . . . . . . . 657--690
Henri Berestycki and
Juncheng Wei and
Matthias Winter Existence of Symmetric and Asymmetric
Spikes for a Crime Hotspot Model . . . . 691--719
Felix Otto and
Maria G. Westdickenberg Relaxation to Equilibrium in the
One-Dimensional Cahn--Hilliard Equation 720--756
Shangkun Weng On Steady Subsonic Flows for
Euler--Poisson Models . . . . . . . . . 757--779
Viorel Barbu and
Stefano Bonaccorsi and
Luciano Tubaro A Stochastic Parabolic Equation with
Nonlinear Flux on the Boundary Driven by
a Gaussian Noise . . . . . . . . . . . . 780--802
Melvin Faierman The Interior Transmission Problem:
Spectral Theory . . . . . . . . . . . . 803--819
L. Desvillettes and
Th. Lepoutre and
A. Moussa Entropy, Duality, and Cross Diffusion 820--853
N. V. Krylov Hörmander's Theorem for Parabolic
Equations with Coefficients Measurable
in the Time Variable . . . . . . . . . . 854--870
Zdzis\law Brze\'zniak and
Ben Goldys and
Misha Neklyudov Multidimensional Stochastic Burgers
Equation . . . . . . . . . . . . . . . . 871--889
José C. Bellido and
Carlos Mora-Corral Existence for Nonlocal Variational
Problems in Peridynamics . . . . . . . . 890--916
Robert M. Strain and
Seok-Bae Yun Spatially Homogeneous Boltzmann Equation
for Relativistic Particles . . . . . . . 917--938
Jason Murphy Intercritical NLS: Critical $ \dot {H}^s
$-Bounds Imply Scattering . . . . . . . 939--997
Giovanni S. Alberti and
Yves Capdeboscq Elliptic Regularity Theory Applied to
Time Harmonic Anisotropic Maxwell's
Equations with Less than Lipschitz
Complex Coefficients . . . . . . . . . . 998--1016
Dongho Chae On the Transport Equations with
Singular/Regular Nonlocal Velocities . . 1017--1029
Boris Andreianov and
Frédéric Lagouti\`ere and
Nicolas Seguin and
Takéo Takahashi Well-Posedness for a One-Dimensional
Fluid-Particle Interaction Model . . . . 1030--1052
Chi-Kun Lin and
Chi-Tien Lin and
Yanping Lin and
Ming Mei Exponential Stability of Nonmonotone
Traveling Waves for Nicholson's
Blowflies Equation . . . . . . . . . . . 1053--1084
Nadia Ansini and
Francesca Prinari Power-Law Approximation under
Differential Constraints . . . . . . . . 1085--1115
Didier Bresch and
Christophe Prange Newtonian Limit for Weakly Viscoelastic
Fluid Flows . . . . . . . . . . . . . . 1116--1159
Stephen A. Gourley and
Gergely Röst and
Horst R. Thieme Uniform Persistence in a Model for
Bluetongue Dynamics . . . . . . . . . . 1160--1184
Jean F. Barros and
Eduardo S. G. Leandro Bifurcations and Enumeration of Classes
of Relative Equilibria in the Planar
Restricted Four-Body Problem . . . . . . 1185--1203
Otto Seiskari Point Electrode Problems in Piecewise
Smooth Plane Domains . . . . . . . . . . 1204--1227
Yuan Lou and
Youshan Tao and
Michael Winkler Approaching the Ideal Free Distribution
in Two-Species Competition Models with
Fitness-Dependent Dispersal . . . . . . 1228--1262
Dieter Bothe and
André Fischer and
Jürgen Saal Global Well-Posedness and Stability of
Electrokinetic Flows . . . . . . . . . . 1263--1316
Alexander Mielke and
Christoph Ortner and
Yasemin Sengül An Approach to Nonlinear Viscoelasticity
via Metric Gradient Flows . . . . . . . 1317--1347
Guoliang He and
Xianguo Geng and
Lihua Wu Algebro-geometric Quasi-periodic
Solutions to the Three-Wave Resonant
Interaction Hierarchy . . . . . . . . . 1348--1384
Shmuel Fishman and
Avy Soffer Multiscale Time Averaging, Reloaded . . 1385--1405
\`Angel Calsina and
József Z. Farkas Positive Steady States of Evolution
Equations with Finite Dimensional
Nonlinearities . . . . . . . . . . . . . 1406--1426
Daniele Andreucci and
Anatoli F. Tedeev The Cauchy--Dirichlet Problem for the
Porous Media Equation in Cone-Like
Domains . . . . . . . . . . . . . . . . 1427--1455
Eduard Feireisl and
Ondrej Kreml and
Sárka Necasová and
Jirí Neustupa and
Jan Stebel Incompressible Limits of Fluids Excited
by Moving Boundaries . . . . . . . . . . 1456--1471
Xiaobiao Lin and
Martin Wechselberger Transonic Evaporation Waves in a
Spherically Symmetric Nozzle . . . . . . 1472--1504
Arnaud Ducrot and
Pierre Magal Asymptotic Behavior of a Nonlocal
Diffusive Logistic Equation . . . . . . 1731--1753
Christophe Pallard Space Moments of the Vlasov--Poisson
System: Propagation and Regularity . . . 1754--1770
Xiangdi Huang and
Yun Wang Global Strong Solution with Vacuum to
the Two Dimensional Density-dependent
Navier--Stokes System . . . . . . . . . 1771--1788
Hongjie Dong and
Doyoon Kim Parabolic Equations in Simple Convex
Polytopes with Time Irregular
Coefficients . . . . . . . . . . . . . . 1789--1819
Nicholas Hoell and
Amir Moradifam and
Adrian Nachman Current Density Impedance Imaging of an
Anisotropic Conductivity in a Known
Conformal Class . . . . . . . . . . . . 1820--1842
John Paul Ward and
Michael Unser Approximation Properties of Sobolev
Splines and the Construction of
Compactly Supported Equivalents . . . . 1843--1858
Laurent Chupin Global Existence Results for Some
Viscoelastic Models with an Integral
Constitutive Law . . . . . . . . . . . . 1859--1873
Alfredo Lorenzi and
Viatcheslav Priimenko Direct Problems for Poroelastic Waves
with Fractional Derivatives . . . . . . 1874--1892
Anne C. Bronzi and
Cecilia F. Mondaini and
Ricardo M. S. Rosa Trajectory Statistical Solutions for
Three-Dimensional Navier--Stokes-Like
Systems . . . . . . . . . . . . . . . . 1893--1921
Goro Akagi and
Ulisse Stefanelli Doubly Nonlinear Equations as Convex
Minimization . . . . . . . . . . . . . . 1922--1945
Hermano Frid and
Ronghua Pan and
Weizhe Zhang Global Smooth Solutions in $ \mathbb
{R}^3 $ to Short Wave-Long Wave
Interactions Systems for Viscous
Compressible Fluids . . . . . . . . . . 1946--1968
Christian Stinner and
Christina Surulescu and
Michael Winkler Global Weak Solutions in a PDE--ODE
System Modeling Multiscale Cancer Cell
Invasion . . . . . . . . . . . . . . . . 1969--2007
R. J. Loy and
R. S. Anderssen Interconversion Relationships for
Completely Monotone Functions . . . . . 2008--2032
Massimiliano Morini and
Peter Sternberg Cascade of Minimizers for a Nonlocal
Isoperimetric Problem in Thin Domains 2033--2051
Haizhao Yang and
Lexing Ying Synchrosqueezed Curvelet Transform for
Two-Dimensional Mode Decomposition . . . 2052--2083
Lei Wu Well-Posedness and Decay of the Viscous
Surface Wave . . . . . . . . . . . . . . 2084--2135
Masashi Ohnawa $ L^\infty $-Stability of Continuous
Shock Waves in a Radiating Gas Model . . 2136--2159
Stéphane Junca High Frequency Waves and the Maximal
Smoothing Effect for Nonlinear Scalar
Conservation Laws . . . . . . . . . . . 2160--2184
Hongxia Liu and
Tong Yang and
Huijiang Zhao and
Qingyang Zou One-dimensional Compressible
Navier--Stokes Equations with
Temperature Dependent Transport
Coefficients and Large Data . . . . . . 2185--2228
Maarten V. de Hoop and
Karlheinz Gröchenig and
José Luis Romero Exact and Approximate Expansions with
Pure Gaussian Wave Packets . . . . . . . 2229--2253
Xicheng Zhang Fundamental Solution of Kinetic
Fokker--Planck Operator with Anisotropic
Nonlocal Dissipativity . . . . . . . . . 2254--2280
Hongjun Gao and
María J. Garrido-Atienza and
Björn Schmalfuss Random Attractors for Stochastic
Evolution Equations Driven by Fractional
Brownian Motion . . . . . . . . . . . . 2281--2309
M. Bonacini and
R. Cristoferi Local and Global Minimality Results for
a Nonlocal Isoperimetric Problem on $
\mathbb {R}^N $ . . . . . . . . . . . . 2310--2349
Renato C. Calleja and
Alessandra Celletti and
Corrado Falcolini and
Rafael de la Llave An Extension of Greene's Criterion for
Conformally Symplectic Systems and a
Partial Justification . . . . . . . . . 2350--2384
Stefan Müller and
Mariapia Palombaro On a Differential Inclusion Related to
the Born--Infeld Equations . . . . . . . 2385--2403
Geng Lai On the Riemann Problem for a Scalar
Zeldovich--von Neumann--Döring Combustion
Model . . . . . . . . . . . . . . . . . 2404--2443
Jack Xin and
Yifeng Yu Asymptotic Growth Rates and Strong
Bending of Turbulent Flame Speeds of
$G$-Equation in Steady Two-Dimensional
Incompressible Periodic Flows . . . . . 2444--2467
John Mallet-Paret and
Roger D. Nussbaum Analyticity and Nonanalyticity of
Solutions of Delay-Differential
Equations . . . . . . . . . . . . . . . 2468--2500
Sönke Hansen Subsonic Free Surface Waves in Linear
Elasticity . . . . . . . . . . . . . . . 2501--2524
Martin Jesenko and
Bernd Schmidt Closure and Commutability Results for $
\Gamma $-Limits and the Geometric
Linearization and Homogenization of
Multiwell Energy Functionals . . . . . . 2525--2553
Bruno Després Symmetrization of Vlasov--Poisson
Equations . . . . . . . . . . . . . . . 2554--2580
Joanna Renclawowicz and
Wojciech M. Zaj\kaczkowski Global Nonstationary Navier--Stokes
Motion with Large Flux . . . . . . . . . 2581--2613
Daniel Lengeler Weak Solutions for An Incompressible,
Generalized Newtonian Fluid Interacting
with a Linearly Elastic Koiter Type
Shell . . . . . . . . . . . . . . . . . 2614--2649
Manas Kar and
Mourad Sini Reconstruction of Interfaces from the
Elastic Farfield Measurements Using CGO
Solutions . . . . . . . . . . . . . . . 2650--2691
Giovanni Alessandrini and
Michele Di Cristo and
Antonino Morassi and
Edi Rosset Stable Determination of an Inclusion in
an Elastic Body by Boundary Measurements 2692--2729
Alexander Plakhov The Problem of Minimal Resistance for
Functions and Domains . . . . . . . . . 2730--2742
Georgi S. Medvedev The Nonlinear Heat Equation on Dense
Graphs and Graph Limits . . . . . . . . 2743--2766
Jack Schaeffer A Restriction on Shocks in Collisionless
Plasma . . . . . . . . . . . . . . . . . 2767--2797
Xiaofeng Ren and
Juncheng Wei Asymmetric and Symmetric Double Bubbles
in a Ternary Inhibitory System . . . . . 2798--2852
Magali Lécureux-Mercier A Priori Estimates and Analytical
Construction of Radially Symmetric
Solutions in the Gas Dynamics . . . . . 2853--2883
Alberto Bressan and
Khai T. Nguyen Global Existence of Weak Solutions for
the Burgers--Hilbert Equation . . . . . 2884--2904
Habib Ammari and
Yat Tin Chow and
Jun Zou The Concept of Heterogeneous Scattering
Coefficients and Its Application in
Inverse Medium Scattering . . . . . . . 2905--2935
M. Focardi and
F. Iurlano Asymptotic Analysis of
Ambrosio--Tortorelli Energies in
Linearized Elasticity . . . . . . . . . 2936--2955
Dorin Bucur and
Giuseppe Buttazzo and
Bozhidar Velichkov Spectral Optimization Problems for
Potentials and Measures . . . . . . . . 2956--2986
E. A. Spence Wavenumber-Explicit Bounds in
Time-Harmonic Acoustic Scattering . . . 2987--3024
Isabell Graf and
Malte A. Peter Diffusion on Surfaces and the Boundary
Periodic Unfolding Operator with an
Application to Carcinogenesis in Human
Cells . . . . . . . . . . . . . . . . . 3025--3049
Helmut Abels and
Georg Dolzmann and
YuNing Liu Well-Posedness of a Fully Coupled
Navier--Stokes/$Q$-tensor System with
Inhomogeneous Boundary Data . . . . . . 3050--3077
Qian Zhang and
Xiaoxin Zheng Global Well-Posedness for the
Two-Dimensional Incompressible
Chemotaxis-Navier--Stokes Equations . . 3078--3105
Qiang Chen and
Peter Monk Discretization of the Time Domain CFIE
for Acoustic Scattering Problems Using
Convolution Quadrature . . . . . . . . . 3107--3130
Mimi Dai and
Maria Schonbek Asymptotic Behavior of Solutions to the
Liquid Crystal System in $ H^m(\mathbb
{R}^3) $ . . . . . . . . . . . . . . . . 3131--3150
Stephen G. Walker On a Lower Bound for the Jensen
Inequality . . . . . . . . . . . . . . . 3151--3157
Jérôme Droniou and
Kyle S. Talbot On a Miscible Displacement Model in
Porous Media Flow with Measure Data . . 3158--3175
Xiaoping Yuan and
Jing Zhang Long Time Stability of Hamiltonian
Partial Differential Equations . . . . . 3176--3222
Miroslav Bulícek and
Petra Pustejovská Existence Analysis for a Model
Describing Flow of an Incompressible
Chemically Reacting Non-Newtonian Fluid 3223--3240
Diana Stan and
Juan Luis Vázquez The Fisher--KPP Equation with Nonlinear
Fractional Diffusion . . . . . . . . . . 3241--3276
Yury Grabovsky and
Davit Harutyunyan Exact Scaling Exponents in Korn and
Korn-Type Inequalities for Cylindrical
Shells . . . . . . . . . . . . . . . . . 3277--3295
C. Davini and
L. Freddi and
R. Paroni Linear Models for Composite Thin-Walled
Beams by $ \Gamma $-Convergence. Part I:
Open Cross Sections . . . . . . . . . . 3296--3331
C. Davini and
L. Freddi and
R. Paroni Linear Models for Composite Thin-Walled
Beams by $ \Gamma $-Convergence. Part
II: Closed Cross-Sections . . . . . . . 3332--3360
Andrea Davini and
Maxime Zavidovique Aubry Sets for Weakly Coupled Systems of
Hamilton--Jacobi Equations . . . . . . . 3361--3389
Radu Ignat and
Luc Nguyen and
Valeriy Slastikov and
Arghir Zarnescu Uniqueness Results for an ODE Related to
a Generalized Ginzburg--Landau Model for
Liquid Crystals . . . . . . . . . . . . 3390--3425
Quansen Jiu and
Changxing Miao and
Jiahong Wu and
Zhifei Zhang The Two-Dimensional Incompressible
Boussinesq Equations with General
Critical Dissipation . . . . . . . . . . 3426--3454
Myoungjean Bae and
Ben Duan and
Chunjing Xie Subsonic Solutions for Steady
Euler--Poisson System in Two-Dimensional
Nozzles . . . . . . . . . . . . . . . . 3455--3480
Peter Polácik and
Eiji Yanagida Localized Solutions of a Semilinear
Parabolic Equation with a Recurrent
Nonstationary Asymptotics . . . . . . . 3481--3496
Tomas Schonbek On a Helmholtz Style Decomposition for
an Exterior Domain . . . . . . . . . . . 3497--3517
Jan Giesselmann A Relative Entropy Approach to
Convergence of a Low Order Approximation
to a Nonlinear Elasticity Model with
Viscosity and Capillarity . . . . . . . 3518--3539
Francisco Guillén-González and
MarÍa Ángeles RodrÍguez-Bellido Weak Time Regularity and Uniqueness for
a $Q$-Tensor Model . . . . . . . . . . . 3540--3567
Farzin Barekat On the Consistency of Compressed Modes
for Variational Problems Associated with
the Schrödinger Operator . . . . . . . . 3568--3577
Francesco Sisti and
Costantino Ricciuti Effects of Concavity on the Motion of a
Body Immersed in a Vlasov Gas . . . . . 3579--3611
A. Ghorbel and
R. Monneau Existence and Nonexistence of
Semidiscrete Shocks for a Car-Following
Model in Traffic Flow . . . . . . . . . 3612--3639
Arjen Doelman and
Gurgen Hayrapetyan and
Keith Promislow and
Brian Wetton Meander and Pearling of Single-Curvature
Bilayer Interfaces in the Functionalized
Cahn--Hilliard Equation . . . . . . . . 3640--3677
Jian Fang and
Xiao-Qiang Zhao Traveling Waves for Monotone Semiflows
with Weak Compactness . . . . . . . . . 3678--3704
Maarten V. de Hoop and
Sean F. Holman and
Einar Iversen and
Matti Lassas and
Bjòrn Ursin Reconstruction of a Conformally
Euclidean Metric from Local Boundary
Diffraction Travel Times . . . . . . . . 3705--3726
James H. von Brecht and
Scott G. McCalla Nonlinear Stability through
Algebraically Decaying Point Spectrum:
Applications to Nonlocal Interaction
Equations . . . . . . . . . . . . . . . 3727--3760
Mihaela Negreanu and
J. Ignacio Tello On a Two Species Chemotaxis Model with
Slow Chemical Diffusion . . . . . . . . 3761--3781
O. Costin and
S. Tanveer Analytical Approximation of the Blasius
Similarity Solution with Rigorous Error
Bounds . . . . . . . . . . . . . . . . . 3782--3813
Marco Di Francesco and
Massimo Fornasier and
Jan-Christian Hütter and
Daniel Matthes Asymptotic Behavior of Gradient Flows
Driven by Nonlocal Power Repulsion and
Attraction Potentials in One Dimension 3814--3837
Bin Cheng Improved Accuracy of Incompressible
Approximation of Compressible Euler
Equations . . . . . . . . . . . . . . . 3838--3864
Igor Kukavica and
Nader Masmoudi and
Vlad Vicol and
Tak Kwong Wong On the Local Well-posedness of the
Prandtl and Hydrostatic Euler Equations
with Multiple Monotonicity Regions . . . 3865--3890
Weimin Han and
Stanis\law Migórski and
Mircea Sofonea A Class of Variational-Hemivariational
Inequalities with Applications to
Frictional Contact Problems . . . . . . 3891--3912
Nan Lu and
Andrea R. Nahmod and
Chongchun Zeng Equivariante and Self-similar Standing
Waves for a Hamiltonian
Hyperbolic-hyperbolic Spin-field System 3913--3956
J. Endal and
E. R. Jakobsen $ L^1 $ Contraction for Bounded
(Nonintegrable) Solutions of Degenerate
Parabolic Equations . . . . . . . . . . 3957--3982
Mike Cullen and
Marc Sedjro On a Model of Forced Axisymmetric Flows 3983--4013
Constantine M. Dafermos BV Solutions of Hyperbolic Balance Laws
with Relaxation in the Absence of
Conserved Quantities . . . . . . . . . . 4014--4034
S. B. Hsu and
J. López-Gómez and
L. Mei and
M. Molina-Meyer A Nonlocal Problem from Conservation
Biology . . . . . . . . . . . . . . . . 4035--4059
A. Choffrut and
L. Székelyhidi, Jr. Weak Solutions to the Stationary
Incompressible Euler Equations . . . . . 4060--4074
Eric Dumas and
Dmitry Pelinovsky Justification of the log--KdV Equation
in Granular Chains: The Case of
Precompression . . . . . . . . . . . . . 4075--4103
Lingbing He and
Xiongfeng Yang Well-Posedness and Asymptotics of
Grazing Collisions Limit of Boltzmann
Equation with Coulomb Interaction . . . 4104--4165
José Antonio Carrillo and
Daniele Castorina and
Bruno Volzone Ground States for Diffusion Dominated
Free Energies with Logarithmic
Interaction . . . . . . . . . . . . . . 1--25
Li Xu and
Ping Zhang Global Small Solutions to
Three-Dimensional Incompressible
Magnetohydrodynamical System . . . . . . 26--65
Fabio Cavalletti and
Marc Sedjro and
Michael Westdickenberg A Simple Proof of Global Existence for
the $1$D Pressureless Gas Dynamics
Equations . . . . . . . . . . . . . . . 66--79
Shuxing Chen and
Chao Yi Global Solutions for Supersonic Flow
Past a Delta Wing . . . . . . . . . . . 80--126
Wei Wang and
Pingwen Zhang and
Zhifei Zhang Rigorous Derivation from Landau--de
Gennes Theory to Ericksen--Leslie Theory 127--158
Francesco Di Plinio and
Roger Temam Grisvard's Shift Theorem Near $ L^\infty
$ and Yudovich Theory on Polygonal
Domains . . . . . . . . . . . . . . . . 159--178
Zhong Tan and
Yanjin Wang and
Yong Wang Stability of Steady States of the
Navier--Stokes--Poisson Equations with
Non-Flat Doping Profile . . . . . . . . 179--209
Vicente Vergara and
Rico Zacher Optimal Decay Estimates for
Time-Fractional and Other Nonlocal
Subdiffusion Equations via Energy
Methods . . . . . . . . . . . . . . . . 210--239
Vincent Duchêne and
Samer Israwi and
Raafat Talhouk A New Fully Justified Asymptotic Model
for the Propagation of Internal Waves in
the Camassa--Holm Regime . . . . . . . . 240--290
T. Hudson and
C. Ortner Analysis of Stable Screw Dislocation
Configurations in an Antiplane Lattice
Model . . . . . . . . . . . . . . . . . 291--320
Ya-Guang Wang and
Feng Xie and
Tong Yang Local Well-Posedness of Prandtl
Equations for Compressible Flow in Two
Space Variables . . . . . . . . . . . . 321--346
Shibin Dai and
Keith Promislow Competitive Geometric Evolution of
Amphiphilic Interfaces . . . . . . . . . 347--380
Steinar Evje and
Huanyao Wen Global Solutions of a Viscous Gas-Liquid
Model with Unequal Fluid Velocities in a
Closed Conduit . . . . . . . . . . . . . 381--406
Davide Buoso and
Pier Domenico Lamberti Shape Sensitivity Analysis of the
Eigenvalues of the Reissner--Mindlin
System . . . . . . . . . . . . . . . . . 407--426
Denys Khusainov and
Michael Pokojovy and
Reinhard Racke Strong and Mild Extrapolated $ L^2
$-Solutions to the Heat Equation with
Constant Delay . . . . . . . . . . . . . 427--454
Masaharu Taniguchi An $ (N - 1) $-Dimensional Convex
Compact Set Gives an $N$-Dimensional
Traveling Front in the Allen--Cahn
Equation . . . . . . . . . . . . . . . . 455--476
Wen-Xin Qin Wave Propagation in Diatomic Lattices 477--497
Fuensanta Andrés and
Julio Munñoz A Type of Nonlocal Elliptic Problem:
Existence and Approximation Through a
Galerkin--Fourier Method . . . . . . . . 498--525
Elisa Davoli and
Gilles A. Francfort A Critical Revisiting of Finite
Elasto-Plasticity . . . . . . . . . . . 526--565
Kristian Bredies and
Thomas Pock and
Benedikt Wirth A Convex, Lower Semicontinuous
Approximation of Euler's Elastica Energy 566--613
Jong-Shenq Guo and
Philippe Souplet No Touchdown at Zero Points of the
Permittivity Profile for the MEMS
Problem . . . . . . . . . . . . . . . . 614--625
P. I. Plotnikov and
W. Weigant Isothermal Navier--Stokes Equations and
Radon Transform . . . . . . . . . . . . 626--653
Jeffrey S. Geronimo and
Plamen Iliev A Hypergeometric Basis for the Alpert
Multiresolution Analysis . . . . . . . . 654--668
Nastasia Grubic and
Philippe G. LeFloch On the Area of the Symmetry Orbits in
Weakly Regular Einstein--Euler
Spacetimes with Gowdy Symmetry . . . . . 669--683
Armin Lechleiter and
Marcel Rennoch Inside-Outside Duality and the
Determination of Electromagnetic
Interior Transmission Eigenvalues . . . 684--705
Gino Biondini and
Daniel Kraus Inverse Scattering Transform for the
Defocusing Manakov System with Nonzero
Boundary Conditions . . . . . . . . . . 706--757
Geng Chen and
Tao Huang and
Chun Liu Finite Time Singularities for Hyperbolic
Systems . . . . . . . . . . . . . . . . 758--785
Dmitry Batenkov and
Omer Friedland and
Yosef Yomdin Sampling, Metric Entropy, and
Dimensionality Reduction . . . . . . . . 786--796
Rima Alaifari and
Michel Defrise and
Alexander Katsevich Asymptotic Analysis of the SVD for the
Truncated Hilbert Transform with Overlap 797--824
Julian Fischer and
Günther Grün Finite Speed of Propagation and Waiting
Times for the Stochastic Porous Medium
Equation: a Unifying Approach . . . . . 825--854
Weiwei Ding and
Xing Liang Principal Eigenvalues of Generalized
Convolution Operators on the Circle and
Spreading Speeds of Noncompact Evolution
Systems in Periodic Media . . . . . . . 855--896
Mei Ming and
Frederic Rousset and
Nikolay Tzvetkov Multi-solitons and Related Solutions for
the Water-waves System . . . . . . . . . 897--954
Julien Guillod and
Peter Wittwer Generalized Scale-Invariant Solutions to
the Two-Dimensional Stationary
Navier--Stokes Equations . . . . . . . . 955--968
Alessio Figalli and
Thomas O. Gallouët and
Ludovic Rifford On the Convexity of Injectivity Domains
on Nonfocal Manifolds . . . . . . . . . 969--1000
A. I. Komech On the Crystal Ground State in the
Schrödinger--Poisson Model . . . . . . . 1001--1021
Pierre Gilles Lemarié--Rieusset On Some Classes of Time-Periodic
Solutions for the Navier--Stokes
Equations in the Whole Space . . . . . . 1022--1043
Naiara Arrizabalaga and
Albert Mas and
Luis Vega Shell Interactions for Dirac Operators:
On the Point Spectrum and the
Confinement . . . . . . . . . . . . . . 1044--1069
Teng Wang and
Yi Wang Stability of Superposition of Two
Viscous Shock Waves for the Boltzmann
Equation . . . . . . . . . . . . . . . . 1070--1120
Jing Li and
Jianwen Zhang and
Junning Zhao On the Global Motion of Viscous
Compressible Barotropic Flows Subject to
Large External Potential Forces and
Vacuum . . . . . . . . . . . . . . . . . 1121--1153
Pablo Pedregal Weak Limits in Nonlinear Conductivity 1154--1168
Konstantinos Koumatos and
Filip Rindler and
Emil Wiedemann Differential Inclusions and Young
Measures Involving Prescribed Jacobians 1169--1195
Ben Adcock and
Anders C. Hansen and
Gitta Kutyniok and
Jackie Ma Linear Stable Sampling Rate: Optimality
of $2$D Wavelet Reconstructions from
Fourier Measurements . . . . . . . . . . 1196--1233
Seth Armstrong and
Sarah Duffin and
Jianlong Han and
Chunlei Zhang Long-term Behavior and Numerical
Analysis of a Nonlocal Evolution
Equation with Kac Potential . . . . . . 1234--1252
Tadahiro Oh On Nonlinear Schrödinger Equations with
Almost Periodic Initial Data . . . . . . 1253--1270
Hyunseok Kim and
Young-Heon Kim On Weak Solutions of Elliptic Equations
with Singular Drifts . . . . . . . . . . 1271--1290
Ya-Guang Wang and
Fang Yu Structural Stability of Supersonic
Contact Discontinuities in
Three-Dimensional Compressible Steady
Flows . . . . . . . . . . . . . . . . . 1291--1329
Liviu I. Ignat and
Tatiana I. Ignat and
Denisa Stancu-Dumitru A Compactness Tool for the Analysis of
Nonlocal Evolution Equations . . . . . . 1330--1354
Yue-Jun Peng Uniformly Global Smooth Solutions and
Convergence of Euler--Poisson Systems
with Small Parameters . . . . . . . . . 1355--1376
Montserrat Corbera and
Josep Cors and
Jaume Llibre and
Richard Moeckel Bifurcation of Relative Equilibria of
the $ (1 + 3)$-Body Problem . . . . . . 1377--1404
Kyudong Choi and
Alexis F. Vasseur Short-Time Stability of Scalar Viscous
Shocks in the Inviscid Limit by the
Relative Entropy Method . . . . . . . . 1405--1418
Sergio Vessella Stability Estimates for an Inverse
Hyperbolic Initial Boundary Value
Problem with Unknown Boundaries . . . . 1419--1457
Junshan Lin and
Fadil Santosa Scattering Resonances for a
Two-Dimensional Potential Well with a
Thick Barrier . . . . . . . . . . . . . 1458--1488
Matthieu Bonnivard and
Antoine Lemenant and
Filippo Santambrogio Approximation of Length Minimization
Problems Among Compact Connected Sets 1489--1529
Michele Coti Zelati and
Piotr Kalita Minimality Properties of Set-Valued
Processes and their Pullback Attractors 1530--1561
Lili Du and
Deqin Zhou Global Well-posedness of two-dimensional
Magnetohydrodynamic Flows with Partial
Dissipation and Magnetic Diffusion . . . 1562--1589
Arnaud Debussche and
Sylvain de Moor and
Martina Hofmanová A Regularity Result for Quasilinear
Stochastic Partial Differential
Equations of Parabolic Type . . . . . . 1590--1614
Christophe Lacave Uniqueness for Two-Dimensional
Incompressible Ideal Flow on Singular
Domains . . . . . . . . . . . . . . . . 1615--1664
Romain Veltz and
Olivier Faugeras Erratum: A Center Manifold Result for
Delayed Neural Fields Equations . . . . 1665--1670
Antonio Gaudiello and
Ali Sili Homogenization of Highly Oscillating
Boundaries with Strongly Contrasting
Diffusivity . . . . . . . . . . . . . . 1671--1692
Charles M. Elliott and
Hans Fritz Time-Periodic Solutions of
Advection-Diffusion Equations on Moving
Hypersurfaces . . . . . . . . . . . . . 1693--1718
Karoline Disser and
Hans-Christoph Kaiser and
Joachim Rehberg Optimal Sobolev Regularity for Linear
Second-Order Divergence Elliptic
Operators Occurring in Real-World
Problems . . . . . . . . . . . . . . . . 1719--1746
Ning Jiang and
Linjie Xiong Diffusive Limit of the Boltzmann
Equation with Fluid Initial Layer in the
Periodic Domain . . . . . . . . . . . . 1747--1777
Mourad Choulli and
Faouzi Triki New Stability Estimates for the Inverse
Medium Problem with Internal Data . . . 1778--1799
Olivier Lafitte and
Mark Williams and
Kevin Zumbrun High-Frequency Stability of Detonations
and Turning Points at Infinity . . . . . 1800--1878
Mark Allen and
Erik Lindgren and
Arshak Petrosyan The Two-Phase Fractional Obstacle
Problem . . . . . . . . . . . . . . . . 1879--1905
Masashi Mizuno and
Yoshihiro Tonegawa Convergence of the Allen--Cahn Equation
with Neumann Boundary Conditions . . . . 1906--1932
Parul Laul and
Jason Metcalfe and
Shreyas Tikare and
Mihai Tohaneanu Localized Energy Estimates for Wave
Equations on $ (1 + 4)$-dimensional
Myers--Perry Space-times . . . . . . . . 1933--1957
Lorena Bociu and
Daniel Toundykov and
Jean-Paul Zolésio Well-Posedness Analysis for a
Linearization of a Fluid-Elasticity
Interaction . . . . . . . . . . . . . . 1958--2000
Kamran Sadiq and
Alexandru Tamasan On the Range Characterization of the
Two-Dimensional Attenuated Doppler
Transform . . . . . . . . . . . . . . . 2001--2021
Moustapha Ba and
Pierre Mathieu A Sobolev Inequality and the Individual
Invariance Principle for Diffusions in a
Periodic Potential . . . . . . . . . . . 2022--2043
Christian Heinemann and
Christiane Kraus Existence of Weak Solutions for a
Hyperbolic-Parabolic Phase Field System
with Mixed Boundary Conditions on
Nonsmooth Domains . . . . . . . . . . . 2044--2073
Misha Perepelitsa On a Kinetic Formulation of the Euler
Equations . . . . . . . . . . . . . . . 2074--2083
Valter Pohjola A Uniqueness Result for an Inverse
Problem of the Steady State
Convection-Diffusion Equation . . . . . 2084--2103
Vuk Milisi\'c and
Dietmar Oelz On a Structured Model for Load-Dependent
Reaction Kinetics of Transient Elastic
Linkages Mediating Nonlinear Friction 2104--2121
Luan T. Hoang and
Truyen V. Nguyen and
Tuoc V. Phan Gradient Estimates and Global Existence
of Smooth Solutions to a Cross-Diffusion
System . . . . . . . . . . . . . . . . . 2122--2177
Tomás Caraballo and
Xiaoying Han and
Peter E. Kloeden Nonautonomous Chemostats with Variable
Delays . . . . . . . . . . . . . . . . . 2178--2199
Kyungwoo Song and
Qin Wang and
Yuxi Zheng The Regularity of Semihyperbolic Patches
Near Sonic Lines for The $2$-D Euler
System in Gas Dynamics . . . . . . . . . 2200--2219
Jean-Michel Coron and
Hoai-Minh Nguyen Dissipative Boundary Conditions for
Nonlinear $1$-D Hyperbolic Systems:
Sharp Conditions Through an Approach via
Time-Delay Systems . . . . . . . . . . . 2220--2240
David M. Ambrose and
Gideon Simpson Local Existence Theory for Derivative
Nonlinear Schrödinger Equations with
Noninteger Power Nonlinearities . . . . 2241--2264
Donatella Donatelli and
Pierangelo Marcati Quasi-Neutral Limit, Dispersion, and
Oscillations for Korteweg-Type Fluids 2265--2282
Sergei Grudsky and
Alexei Rybkin Soliton Theory and Hankel Operators . . 2283--2323
Seok-Bae Yun Ellipsoidal BGK Model Near a Global
Maxwellian . . . . . . . . . . . . . . . 2324--2354
Philippe Laurençot and
Henry van Roessel Absence of Gelation and Self-Similar
Behavior for a Coagulation-Fragmentation
Equation . . . . . . . . . . . . . . . . 2355--2374
Wei Zhou Interior Regularity of Fully Nonlinear
Degenerate Elliptic Equations I: Bellman
Equations with Constant Coefficients . . 2375--2415
E. Feireisl and
O. Kreml and
A. Vasseur Stability of the Isentropic Riemann
Solutions of the Full Multidimensional
Euler System . . . . . . . . . . . . . . 2416--2425
Lorenzo Giacomelli Finite Speed of Propagation and Waiting
Time Phenomena for Degenerate Parabolic
Equations with Linear Growth Lagrangian 2426--2441
E. B. Saff and
H. Stahl and
N. Stylianopoulos and
V. Totik Orthogonal Polynomials for Area-Type
Measures and Image Recovery . . . . . . 2442--2463
Bin Han and
Qun Mo and
Zhenpeng Zhao Compactly Supported Tensor Product
Complex Tight Framelets with
Directionality . . . . . . . . . . . . . 2464--2494
Marta Strani and
Benjamin Texier Time-Delayed Instabilities in Complex
Burgers Equations . . . . . . . . . . . 2495--2518
Elisabetta Rocca and
Riccarda Rossi ``Entropic'' Solutions to a
Thermodynamically Consistent PDE System
for Phase Transitions and Damage . . . . 2519--2586
Tuomo Valkonen The Jump Set under Geometric
Regularization. Part 1: Basic Technique
and First-Order Denoising . . . . . . . 2587--2629
Jiahong Wu and
Yifei Wu and
Xiaojing Xu Global Small Solution to the $2$D MHD
System with a Velocity Damping Term . . 2630--2656
Håkan Andréasson and
David Fajman and
Maximilian Thaller Static Solutions to the Einstein--Vlasov
System with a Nonvanishing Cosmological
Constant . . . . . . . . . . . . . . . . 2657--2688
Shibing Chen Boundary $ C^{1, \alpha } $ regularity
of an optimal transport problem with
cost close to $ - x \cdot y $ . . . . . 2689--2698
Paolo Tilli and
Davide Zucco Where Best to Place a Dirichlet
Condition in an Anisotropic Membrane? 2699--2721
Shengguo Zhu On Classical Solutions of the
Compressible Magnetohydrodynamic
Equations with Vacuum . . . . . . . . . 2722--2753
Arseniy Akopyan and
Alexander Plakhov Minimal Resistance of Curves under the
Single Impact Assumption . . . . . . . . 2754--2769
Seonghak Kim and
Baisheng Yan Convex Integration and Infinitely Many
Weak Solutions to the Perona--Malik
Equation in All Dimensions . . . . . . . 2770--2794
Masashi Ohnawa Asymptotic Stability of Plasma Boundary
Layers to the Euler--Poisson Equations
with Fluid-Boundary Interaction . . . . 2795--2831
Andrea Braides and
Marco Cicalese and
Francesco Solombrino $Q$-Tensor Continuum Energies as Limits
of Head-to-Tail Symmetric Spin Systems 2832--2867
Manuel V. Gnann Well-Posedness and Self-Similar
Asymptotics for a Thin-Film Equation . . 2868--2902
Peter V. Gordon and
Cyrill B. Muratov Eventual Self-similarity of Solutions
for the Diffusion Equation with
Nonlinear Absorption and a Point Source 2903--2916
Juan Calvo Analysis of a Class of Degenerate
Parabolic Equations with Saturation
Mechanisms . . . . . . . . . . . . . . . 2917--2951
Junyu Lin and
Baishun Lai and
Changyou Wang Global Finite Energy Weak Solutions to
the Compressible Nematic Liquid Crystal
Flow in Dimension Three . . . . . . . . 2952--2983
Linh V. Nguyen On Artifacts in Limited Data Spherical
Radon Transform: Flat Observation
Surfaces . . . . . . . . . . . . . . . . 2984--3004
Taishan Yi and
Xingfu Zou Asymptotic Behavior, Spreading Speeds,
and Traveling Waves of Nonmonotone
Dynamical Systems . . . . . . . . . . . 3005--3034
Sean D. Lawley and
Jonathan C. Mattingly and
Michael C. Reed Stochastic Switching in Infinite
Dimensions with Applications to Random
Parabolic PDE . . . . . . . . . . . . . 3035--3063
Andrea Braides and
Valeria Chiad\`o Piat and
Andrey Piatnitski Homogenization of Discrete High-Contrast
Energies . . . . . . . . . . . . . . . . 3064--3091
Michael Winkler Large-Data Global Generalized Solutions
in a Chemotaxis System with
Tensor-Valued Sensitivities . . . . . . 3092--3115
Wen Shen Slow Erosion with Rough Geological
Layers . . . . . . . . . . . . . . . . . 3116--3150
Chunpeng Wang and
Zhouping Xin Global Smooth Supersonic Flows in
Infinite Expanding Nozzles . . . . . . . 3151--3211
E. Lakshtanov and
B. Vainberg Sharp Weyl Law for Signed Counting
Function of Positive Interior
Transmission Eigenvalues . . . . . . . . 3212--3234
Theodore Vo and
Martin Wechselberger Canards of Folded Saddle-Node Type I . . 3235--3283
Laetitia Paoli Vibro-Impact Problems with Dry Friction
--- Part I: Existence Result . . . . . . 3285--3313
Younghun Hong and
Kenneth Taliaferro and
Zhihui Xie Unconditional Uniqueness of the cubic
Gross--Pitaevskii Hierarchy with Low
Regularity . . . . . . . . . . . . . . . 3314--3341
François Hamel and
Luca Rossi Admissible speeds of transition fronts
for nonautonomous monostable equations 3342--3392
Paul Carter and
Björn Sandstede Fast Pulses with Oscillatory Tails in
the FitzHugh--Nagumo System . . . . . . 3393--3441
Chia-Yu Hsieh and
Tai-Chia Lin Exponential Decay Estimates for the
Stability of Boundary Layer Solutions to
Poisson--Nernst--Planck Systems: One
Spatial Dimension Case . . . . . . . . . 3442--3465
Felipe Alvarez and
Salvador Flores Existence and Approximation for
Variational Problems Under Uniform
Constraints on the Gradient by Power
Penalty . . . . . . . . . . . . . . . . 3466--3487
Rulin Kuan and
Yi-Hsuan Lin and
Mourad Sini The Enclosure Method for the Anisotropic
Maxwell System . . . . . . . . . . . . . 3488--3527
Vera Mikyoung Hur and
Mathew A. Johnson Stability of Periodic Traveling Waves
for Nonlinear Dispersive Equations . . . 3528--3554
Yihong Du and
Bendong Lou and
Maolin Zhou Nonlinear Diffusion Problems with Free
Boundaries: Convergence, Transition
Speed, and Zero Number Arguments . . . . 3555--3584
Renjun Duan and
Shuangqian Liu Stability of the Rarefaction Wave of the
Vlasov--Poisson--Boltzmann System . . . 3585--3647
Yan Guo and
Song Jiang and
Chunhui Zhou Steady Viscous Compressible Channel
Flows . . . . . . . . . . . . . . . . . 3648--3670
Jan Peszek Discrete Cucker--Smale Flocking Model
with a Weakly Singular Weight . . . . . 3671--3686
Helmut Abels and
Kei Fong Lam and
Björn Stinner Analysis of the Diffuse Domain Approach
for a Bulk-Surface Coupled PDE System 3687--3725
Song Jiang and
Fucai Li and
Feng Xie Nonrelativistic Limit of the
Compressible Navier--Stokes--Fourier--P1
Approximation Model Arising in Radiation
Hydrodynamics . . . . . . . . . . . . . 3726--3746
P. B. Mucha and
M. Pokorný and
E. Zatorska Heat-Conducting, Compressible Mixtures
with Multicomponent Diffusion:
Construction of a Weak Solution . . . . 3747--3797
Diogo A. Gomes and
Edgard Pimentel Time-Dependent Mean-Field Games with
Logarithmic Nonlinearities . . . . . . . 3798--3812
Seung-Yeal Ha and
Moon-Jin Kang and
Bongsuk Kwon Emergent Dynamics for the Hydrodynamic
Cucker--Smale System in a Moving Domain 3813--3831
V. Duchêne and
I. Vuki\'cevi\'c and
M. I. Weinstein Oscillatory and Localized Perturbations
of Periodic Structures and the
Bifurcation of Defect Modes . . . . . . 3832--3883
J. Inglis and
D. Talay Mean-Field Limit of a Stochastic
Particle System Smoothly Interacting
Through Threshold Hitting-Times and
Applications to Neural Networks with
Dendritic Component . . . . . . . . . . 3884--3916
Jens Frehse and
Sebastian Schwarzacher On Regularity of the Time Derivative for
Degenerate Parabolic Systems . . . . . . 3917--3943
Dietmar Kröner and
Thomas Müller and
Lena Maria Strehlau Traces for Functions of Bounded
Variation on Manifolds with Applications
to Conservation Laws on Manifolds with
Boundary . . . . . . . . . . . . . . . . 3944--3962
Katharina Schade and
Yoshihiro Shibata On Strong Dynamics of Compressible
Nematic Liquid Crystals . . . . . . . . 3963--3992
Kousuke Kuto Limiting Structure of Shrinking
Solutions to the Stationary
Shigesada--Kawasaki--Teramoto Model with
Large Cross-Diffusion . . . . . . . . . 3993--4024
Shu Gu and
Zhongwei Shen Homogenization of Stokes Systems and
Uniform Regularity Estimates . . . . . . 4025--4057
Benjamin Gess and
Michael Röckner Singular-Degenerate Multivalued
Stochastic Fast Diffusion Equations . . 4058--4090
F. J. Pinski and
G. Simpson and
A. M. Stuart and
H. Weber Kullback--Leibler Approximation for
Probability Measures on Infinite
Dimensional Spaces . . . . . . . . . . . 4091--4122
Yong Wang and
Zhouping Xin and
Yan Yong Uniform Regularity and Vanishing
Viscosity Limit for the Compressible
Navier--Stokes with General Navier-Slip
Boundary Conditions in Three-Dimensional
Domains . . . . . . . . . . . . . . . . 4123--4191
Ding Bingbing and
Liu Yingbo and
Yin Huicheng The Small Data Solutions of General $3$D
Quasilinear Wave Equations. I . . . . . 4192--4228
Youshan Tao and
Michael Winkler Large Time Behavior in a
Multidimensional Chemotaxis-Haptotaxis
Model with Slow Signal Diffusion . . . . 4229--4250
K. Bahlali and
E. Essaky and
M. Hassani Existence and Uniqueness of
Multidimensional BSDEs and of Systems of
Degenerate PDEs with Superlinear Growth
Generator . . . . . . . . . . . . . . . 4251--4288
Kewei Zhang and
Elaine Crooks and
Antonio Orlando Compensated Convexity, Multiscale Medial
Axis Maps and Sharp Regularity of the
Squared-Distance Function . . . . . . . 4289--4331
I-Kun Chen and
Chun-Hsiung Hsia Singularity of Macroscopic Variables
Near Boundary for Gases with Cutoff Hard
Potential . . . . . . . . . . . . . . . 4332--4349
Alexis Vasseur and
Yi Wang The Inviscid Limit to a Contact
Discontinuity for the Compressible
Navier--Stokes--Fourier System Using the
Relative Entropy Method . . . . . . . . 4350--4359
Alexandre Munnier and
Karim Ramdani Asymptotic Analysis of a Neumann Problem
in a Domain with Cusp. Application to
the Collision Problem of Rigid Bodies in
a Perfect Fluid . . . . . . . . . . . . 4360--4403
Barbora Benesová and
Malte Kampschulte Gradient Young Measures Generated by
Quasi-Conformal Maps in the Plane . . . 4404--4435
Rupert L. Frank and
Elliott H. Lieb A Compactness Lemma and Its Application
to the Existence of Minimizers for the
Liquid Drop Model . . . . . . . . . . . 4436--4450
Dorin Bucur and
Dario Mazzoleni A Surgery Result for the Spectrum of the
Dirichlet Laplacian . . . . . . . . . . 4451--4466
David Lipshutz and
Ruth J. Williams Existence, Uniqueness, and Stability of
Slowly Oscillating Periodic Solutions
for Delay Differential Equations with
Nonnegativity Constraints . . . . . . . 4467--4535
Mourad Choulli and
Yavar Kian and
Eric Soccorsi Stable Determination of Time-Dependent
Scalar Potential from Boundary
Measurements in a Periodic Quantum
Waveguide . . . . . . . . . . . . . . . 4536--4558
Serena Dipierro and
Ovidiu Savin and
Enrico Valdinoci A Nonlocal Free Boundary Problem . . . . 4559--4605
Felix Krahmer and
Deanna Needell and
Rachel Ward Compressive Sensing with Redundant
Dictionaries and Structured Measurements 4606--4629
Xuwen Chen and
Walter A. Strauss Convergence to Equilibrium of a Body
Moving in a Kinetic Sea . . . . . . . . 4630--4651
F. R. Guarguaglini and
R. Natalini Global Smooth Solutions for a Hyperbolic
Chemotaxis Model on a Network . . . . . 4652--4671
Tarek M. Elgindi and
Klaus Widmayer Sharp Decay Estimates for an Anisotropic
Linear Semigroup and Applications to the
Surface Quasi-Geostrophic and Inviscid
Boussinesq Systems . . . . . . . . . . . 4672--4684
Benedetto Piccoli and
Francesco Rossi and
Emmanuel Trélat Control to Flocking of the Kinetic
Cucker--Smale Model . . . . . . . . . . 4685--4719
Leif Arkeryd and
Anne Nouri Well-Posedness of the Cauchy Problem for
a Space-Dependent Anyon Boltzmann
Equation . . . . . . . . . . . . . . . . 4720--4742
Stefano Bianchini and
Paolo Bonicatto and
Nikolay A. Gusev Renormalization for Autonomous Nearly
Incompressible BV Vector Fields in Two
Dimensions . . . . . . . . . . . . . . . 1--33
Katy Craig and
Ihsan Topaloglu Convergence of Regularized Nonlocal
Interaction Energies . . . . . . . . . . 34--60
Björn de Rijk and
Arjen Doelman and
Jens Rademacher Spectra and Stability of Spatially
Periodic Pulse Patterns: Evans Function
Factorization via Riccati Transformation 61--121
C. Bandle and
P. Mastrolia and
D. D. Monticelli and
F. Punzo On the Stability of Solutions of
Semilinear Elliptic Equations with Robin
Boundary Conditions on Riemannian
Manifolds . . . . . . . . . . . . . . . 122--151
Guanghui Hu and
Mikko Salo and
Esa V. Vesalainen Shape Identification in Inverse Medium
Scattering Problems with a Single
Far-Field Pattern . . . . . . . . . . . 152--165
Keith Leitmeyer Enstrophy Cascade in Physical Scales for
the Three-Dimensional Navier--Stokes
Equations . . . . . . . . . . . . . . . 166--173
Petronela Radu and
Grozdena Todorova and
Borislav Yordanov The Generalized Diffusion Phenomenon and
Applications . . . . . . . . . . . . . . 174--203
Ugo Bessi Existence of Solutions of the Master
Equation in the Smooth Case . . . . . . 204--228
Dean Baskin and
Euan A. Spence and
Jared Wunsch Sharp High-Frequency Estimates for the
Helmholtz Equation and Applications to
Boundary Integral Equations . . . . . . 229--267
L. Miguel Rodrigues and
Kevin Zumbrun Periodic-Coefficient Damping Estimates,
and Stability of Large-Amplitude Roll
Waves in Inclined Thin Film Flow . . . . 268--280
Tadeusz Iwaniec and
Jani Onninen Smoothing Defected Welds and Hairline
Cracks . . . . . . . . . . . . . . . . . 281--301
Song Jiang and
Qiangchang Ju and
Fucai Li Incompressible Limit of the
Nonisentropic Ideal Magnetohydrodynamic
Equations . . . . . . . . . . . . . . . 302--319
Samuel Amstutz and
Nicolas Van Goethem Analysis of the Incompatibility Operator
and Application in Intrinsic Elasticity
with Dislocations . . . . . . . . . . . 320--348
Elias Esselborn Relaxation Rates for a Perturbation of a
Stationary Solution to the Thin-Film
Equation . . . . . . . . . . . . . . . . 349--396
Hideo Deguchi and
Michael Oberguggenberger Propagation of Singularities for
Generalized Solutions to Wave Equations
with Discontinuous Coefficients . . . . 397--442
Dongho Chae and
Jörg Wolf On Partial Regularity for the $3$D
Nonstationary Hall Magnetohydrodynamics
Equations on the Plane . . . . . . . . . 443--469
Haibo Cui and
Wenjun Wang and
Lei Yao and
Changjiang Zhu Decay Rates for a Nonconservative
Compressible Generic Two-Fluid Model . . 470--512
Johannes Keller and
Caroline Lasser and
Tomoki Ohsawa A New Phase Space Density for Quantum
Expectations . . . . . . . . . . . . . . 513--537
Esther S. Daus and
Ansgar Jüngel and
Clément Mouhot and
Nicola Zamponi Hypocoercivity for a Linearized
Multispecies Boltzmann System . . . . . 538--568
Victor Isakov and
Ru-Yu Lai and
Jenn-Nan Wang Increasing Stability for the
Conductivity and Attenuation
Coefficients . . . . . . . . . . . . . . 569--594
Hai-Liang Li and
Tong Yang and
Mingying Zhong Spectrum Structure and Behaviors of the
Vlasov--Maxwell--Boltzmann Systems . . . 595--669
D. C. Antonopoulou and
P. W. Bates and
D. Blömker and
G. D. Karali Motion of a Droplet for the Stochastic
Mass-Conserving Allen--Cahn Equation . . 670--708
Xiang Yu and
Shiqing Zhang Saari's Conjecture for Elliptical
Motions and Minimizing Solutions of the
$N$-body Problem . . . . . . . . . . . . 709--724
Jianhai Bao and
Jinghai Shao Permanence and Extinction of
Regime-Switching Predator--Prey Models 725--739
Aram L. Karakhanyan An Inverse Problem for the Refractive
Surfaces with Parallel Lighting . . . . 740--784
Carolin Kreisbeck and
Stefan Krömer Heterogeneous Thin Films: Combining
Homogenization and Dimension Reduction
with Directors . . . . . . . . . . . . . 785--820
H. Mitake and
A. Siconolfi and
H. V. Tran and
N. Yamada A Lagrangian Approach to Weakly Coupled
Hamilton--Jacobi Systems . . . . . . . . 821--846
Yuusuke Sugiyama Degeneracy in Finite Time of $1$D
Quasilinear Wave Equations . . . . . . . 847--860
Krzysztof Bartosz and
Mircea Sofonea The Rothe Method for
Variational-Hemivariational Inequalities
with Applications to Contact Mechanics 861--883
Ahmad El Soufi and
Evans M. Harrell II On the Placement of an Obstacle So As to
Optimize the Dirichlet Heat Trace . . . 884--894
Roberto Alicandro and
Maria Stella Gelli Local and Nonlocal Continuum Limits of
Ising-Type Energies for Spin Systems . . 895--931
Mario Bebendorf Low-Rank Approximation of Elliptic
Boundary Value Problems with
High-Contrast Coefficients . . . . . . . 932--949
Stanislav Kondratyev and
José Miguel Urbano and
Dmitry Vorotnikov On the Bulk Velocity of Brownian
Ratchets . . . . . . . . . . . . . . . . 950--980
Martin Burger and
Sabine Hittmeir and
Helene Ranetbauer and
Marie-Therese Wolfram Lane Formation by Side-Stepping . . . . 981--1005
Pedro Isaza and
Felipe Linares and
Gustavo Ponce On the Propagation of Regularity of
Solutions of the Kadomtsev--Petviashvili
Equation . . . . . . . . . . . . . . . . 1006--1024
Raphaël Danchin and
Bernard Ducomet The Low Mach Number Limit for a
Barotropic Model of Radiative Flow . . . 1025--1053
Daoyuan Fang and
Ruizhao Zi Global Solutions to the Oldroyd-B Model
with a Class of Large Initial Data . . . 1054--1084
Carlo D. Pagani and
Dario Pierotti and
Angela Pistoia and
Giusi Vaira Concentration along Geodesics for a
Nonlinear Steklov Problem Arising in
Corrosion Modeling . . . . . . . . . . . 1085--1108
Fernando P. da Costa and
João T. Pinto and
Rafael Sasportes Rates of Convergence to Scaling Profiles
in a Submonolayer Deposition Model and
the Preservation of Memory of the
Initial Condition . . . . . . . . . . . 1109--1127
Marco Bonacini and
Hans Knüpfer and
Matthias Röger Optimal Distribution of Oppositely
Charged Phases: Perfect Screening and
Other Properties . . . . . . . . . . . . 1128--1154
François Monard Inversion of the Attenuated Geodesic
X-Ray Transform over Functions and
Vector Fields on Simple Surfaces . . . . 1155--1177
Marco Barchiesi and
Giuliano Lazzaroni and
Caterina Ida Zeppieri A Bridging Mechanism in the
Homogenization of Brittle Composites
with Soft Inclusions . . . . . . . . . . 1178--1209
Nadir Arada On Generalized Newtonian Fluids in
Curved Pipes . . . . . . . . . . . . . . 1210--1249
Christine Bernardi and
Martin Costabel and
Monique Dauge and
Vivette Girault Continuity Properties of the Inf-Sup
Constant for the Divergence . . . . . . 1250--1271
Laetitia Paoli Vibro-Impact Problems with Dry Friction
--- Part II: Tangential Contacts and
Frictional Catastrophes . . . . . . . . 1272--1296
Hong Thai Nguyen and
Dariusz P\kaczka Weak and Young Measure Solutions for
Hyperbolic Initial Boundary Value
Problems of Elastodynamics in the
Orlicz--Sobolev Space Setting . . . . . 1297--1331
Guillaume Bal and
Francis J. Chung and
John C. Schotland Ultrasound Modulated Bioluminescence
Tomography and Controllability of the
Radiative Transport Equation . . . . . . 1332--1347
Yilun Wu Simplicity and Finiteness of Discrete
Spectrum of the Benjamin--Ono Scattering
Operator . . . . . . . . . . . . . . . . 1348--1367
Cecilia Cavaterra and
Elisabetta Rocca and
Hao Wu and
Xiang Xu Global Strong Solutions of the Full
Navier--Stokes and $Q$-Tensor System for
Nematic Liquid Crystal Flows in Two
Dimensions . . . . . . . . . . . . . . . 1368--1399
Ingenuin Gasser and
Peter Szmolyan and
Johannes Wächtler Existence of Chapman--Jouguet Detonation
and Deflagration Waves . . . . . . . . . 1400--1422
Hakima Bessaih and
Erika Hausenblas and
Paul A. Razafimandimby Ergodicity of Stochastic Shell Models
Driven by Pure Jump Noise . . . . . . . 1423--1458
Minjae Lee Dirac Cones for Point Scatterers on a
Honeycomb Lattice . . . . . . . . . . . 1459--1488
Alexis F. Vasseur and
Cheng Yu Global Weak Solutions to the
Compressible Quantum Navier--Stokes
Equations with Damping . . . . . . . . . 1489--1511
Guy Barles and
Erwin Topp Existence, Uniqueness, and Asymptotic
Behavior for Nonlocal Parabolic Problems
with Dominating Gradient Terms . . . . . 1512--1547
Carmen Cortázar and
Manuel Elgueta and
Fernando Quirós and
Noemí Wolanski Asymptotic Behavior for a
One-Dimensional Nonlocal Diffusion
Equation in Exterior Domains . . . . . . 1549--1574
G. M. Coclite and
M. M. Coclite and
S. Mishra On a Model for the Evolution of
Morphogens in a Growing Tissue . . . . . 1575--1615
Lorenzo Brandolese Characterization of Solutions to
Dissipative Systems with Sharp Algebraic
Decay . . . . . . . . . . . . . . . . . 1616--1633
José M. Arrieta and
Manuel Villanueva-Pesqueira Unfolding Operator Method for Thin
Domains with a Locally Periodic Highly
Oscillatory Boundary . . . . . . . . . . 1634--1671
Wei-Xi Li and
Di Wu and
Chao-Jiang Xu Gevrey Class Smoothing Effect for the
Prandtl Equation . . . . . . . . . . . . 1672--1726
Robin Neumayer A Strong Form of the Quantitative Wulff
Inequality . . . . . . . . . . . . . . . 1727--1772
Olivier Lafitte and
Mark Williams and
Kevin Zumbrun Block-Diagonalization of ODEs in the
Semiclassical Limit and $ C^\omega $
versus $ C^\infty $ Stationary Phase . . 1773--1797
Federico Cacciafesta and
Piero D'Ancona and
Renato Luc\`a Helmholtz and Dispersive Equations with
Variable Coefficients on Exterior
Domains . . . . . . . . . . . . . . . . 1798--1832
Sunghwan Moon On the Determination of a Function from
Its Conical Radon Transform with a Fixed
Central Axis . . . . . . . . . . . . . . 1833--1847
Irena Lasiecka and
Justin T. Webster Feedback Stabilization of a Fluttering
Panel in an Inviscid Subsonic Potential
Flow . . . . . . . . . . . . . . . . . . 1848--1891
Francisco de la Hoz and
Taoufik Hmidi and
Joan Mateu and
Joan Verdera Doubly Connected $V$-States for the
Planar Euler Equations . . . . . . . . . 1892--1928
Joep H. M. Evers and
Sander C. Hille and
Adrian Muntean Measure-Valued Mass Evolution Problems
with Flux Boundary Conditions and
Solution-Dependent Velocities . . . . . 1929--1953
Domenico Mucci and
Lorenzo Nicolodi On the Landau--de Gennes Elastic Energy
of Constrained Biaxial Nematics . . . . 1954--1987
Quang-Huy Nguyen A Pseudo-local Property of Gravity Water
Waves System . . . . . . . . . . . . . . 1988--2027
Jacopo Bellazzini and
Louis Jeanjean On Dipolar Quantum Gases in the Unstable
Regime . . . . . . . . . . . . . . . . . 2028--2058
Carlo Mercuri and
Giuseppe Riey and
Berardino Sciunzi A Regularity Result for the
$p$-Laplacian Near Uniform Ellipticity 2059--2075
Jonatan Lenells The Nonlinear Steepest Descent Method:
Asymptotics for Initial-Boundary Value
Problems . . . . . . . . . . . . . . . . 2076--2118
David S. McCormick and
Eric J. Olson and
James C. Robinson and
Jose L. Rodrigo and
Alejandro Vidal-López and
Yi Zhou Lower Bounds on Blowing-Up Solutions of
the Three-Dimensional Navier--Stokes
Equations in $ \dot H^{3 / 2} $, $ \dot
H^{5 / 2} $, and $ \dot B^{5 / 2}_{2, 1}
$ . . . . . . . . . . . . . . . . . . . 2119--2132
Mihai Bostan MultiScale Analysis for Linear First
Order PDEs. The Finite Larmor Radius
Regime . . . . . . . . . . . . . . . . . 2133--2188
Feng-Yu Wang and
Xicheng Zhang Degenerate SDE with Hölder--Dini Drift
and Non-Lipschitz Noise Coefficient . . 2189--2226
Wentao Cao and
Feimin Huang and
Dehua Wang Isometric Immersion of Surface with
Negative Gauss Curvature and the
Lax--Friedrichs Scheme . . . . . . . . . 2227--2249
Brian Simanek An Electrostatic Interpretation of the
Zeros of Paraorthogonal Polynomials on
the Unit Circle . . . . . . . . . . . . 2250--2268
Mitia Duerinckx Mean-Field Limits for Some Riesz
Interaction Gradient Flows . . . . . . . 2269--2300
Jürgen Frikel and
Eric Todd Quinto Limited Data Problems for the
Generalized Radon Transform in $
{\mathbb R}^n $ . . . . . . . . . . . . 2301--2318
Fikret Gölgeleyen and
Masahiro Yamamoto Stability for Some Inverse Problems for
Transport Equations . . . . . . . . . . 2319--2344
Huimin Liu and
Xueke Pu Long Wavelength Limit for the Quantum
Euler--Poisson Equation . . . . . . . . 2345--2381
Andoni García and
Esa V. Vesalainen and
Miren Zubeldia Discreteness of Transmission Eigenvalues
for Higher-Order Main Terms and
Perturbations . . . . . . . . . . . . . 2382--2398
Yong-Kum Cho and
Yoshinori Morimoto and
Shuaikun Wang and
Tong Yang Probability Measures with Finite Moments
and the Homogeneous Boltzmann Equation 2399--2413
Chunpeng Wang and
Zhouping Xin On Sonic Curves of Smooth Subsonic-Sonic
and Transonic Flows . . . . . . . . . . 2414--2453
C. David Levermore and
Hailiang Liu and
Robert L. Pego Global Dynamics of Bose--Einstein
Condensation for a Model of the
Kompaneets Equation . . . . . . . . . . 2454--2494
Rémy Rodiac Regularity Properties of Stationary
Harmonic Functions Whose Laplacian is a
Radon Measure . . . . . . . . . . . . . 2495--2531
Fioralba Cakoni and
Bojan B. Guzina and
Shari Moskow On the Homogenization of a Scalar
Scattering Problem for Highly
Oscillating Anisotropic Media . . . . . 2532--2560
Alexandre Montaru and
Boyan Sirakov Stationary States of Reaction--Diffusion
and Schrödinger Systems with
Inhomogeneous or Controlled Diffusion 2561--2587
Hans Koch Vertex Order in Some Large Constrained
Random Graphs . . . . . . . . . . . . . 2588--2601
Juhi Jang and
Ian Tice and
Yanjin Wang The Compressible Viscous
Surface-Internal Wave Problem: Local
Well-Posedness . . . . . . . . . . . . . 2602--2673
Marek Biskup and
Ryoki Fukushima and
Wolfgang König Eigenvalue Fluctuations for Lattice
Anderson Hamiltonians . . . . . . . . . 2674--2700
Annalisa Cesaroni and
Nicolas Dirr and
Claudio Marchi Homogenization of a Mean Field Game
System in the Small Noise Limit . . . . 2701--2729
Marco A. Fontelos and
Hyung Ju Hwang and
Youngmin Oh Stability, Instability, and Bifurcation
in Electrified Thin Films . . . . . . . 2730--2782
A. Bensoussan and
L. Mertz and
S. C. P. Yam NonLocal Boundary Value Problems of a
Stochastic Variational Inequality
Modeling an Elasto-Plastic Oscillator
Excited by a Filtered Noise . . . . . . 2783--2805
Pedro Aceves-Sánchez and
Christian Schmeiser Fractional-Diffusion--Advection Limit of
a Kinetic Model . . . . . . . . . . . . 2806--2818
Ryan W. Murray and
Robert L. Pego Algebraic Decay to Equilibrium for the
Becker--Döring Equations . . . . . . . . 2819--2842
Laura Abatangelo and
Veronica Felli On the Leading Term of the Eigenvalue
Variation for Aharonov--Bohm Operators
with a Moving Pole . . . . . . . . . . . 2843--2868
Matthias Liero and
Alexander Mielke and
Giuseppe Savaré Optimal Transport in Competition with
Reaction: The Hellinger--Kantorovich
Distance and Geodesic Curves . . . . . . 2869--2911
Sebastian Bauer and
Dirk Pauly and
Michael Schomburg The Maxwell Compactness Property in
Bounded Weak Lipschitz Domains with
Mixed Boundary Conditions . . . . . . . 2912--2943
Lawrence C. Evans and
Peyam R. Tabrizian Asymptotics for Scaled
Kramers--Smoluchowski Equations . . . . 2944--2961
Yaniv Almog and
Raphaël Henry Spectral Analysis of a Complex
Schrödinger Operator in the Semiclassical
Limit . . . . . . . . . . . . . . . . . 2962--2993
Sergio Conti and
Felix Otto and
Sylvia Serfaty Branched Microstructures in the
Ginzburg--Landau Model of Type-I
Superconductors . . . . . . . . . . . . 2994--3034
Masashi Mizuno and
Yoshihiro Tonegawa Erratum to ``Convergence of the
Allen--Cahn Equation with Neumann
Boundary Conditions'' . . . . . . . . . 3035--3036
Masakazu Yamamoto Erratum: Asymptotic Expansion of
Solutions to the Dissipative Equation
with Fractional Laplacian . . . . . . . 3037--3038
Joonas Ilmavirta Coherent Quantum Tomography . . . . . . 3039--3064
J. R. Fernández and
P. Kalita and
S. Migórski and
M. C. Muñiz and
C. Núñez Existence and Uniqueness Results for a
Kinetic Model in Bulk-Surface Surfactant
Dynamics . . . . . . . . . . . . . . . . 3065--3089
Young-Pil Choi Global Classical Solutions and
Large-Time Behavior of the Two-Phase
Fluid Model . . . . . . . . . . . . . . 3090--3122
David Gérard-Varet and
Aneta Wróblewska-Kami\'nska Boundary Layer for a Non-Newtonian Flow
Over a Rough Surface . . . . . . . . . . 3123--3147
Sun-Sig Byun and
Jihoon Ok Nonlinear Parabolic Equations with
Variable Exponent Growth in Nonsmooth
Domains . . . . . . . . . . . . . . . . 3148--3190
Yong Wang and
Chun Liu and
Zhong Tan A Generalized
Poisson--Nernst--Planck--Navier--Stokes
Model on the Fluid with the Crowded
Charged Particles: Derivation and Its
Well-Posedness . . . . . . . . . . . . . 3191--3235
Laurent Bétermin Two-Dimensional Theta Functions and
Crystallization among Bravais Lattices 3236--3269
David Fajman Local Well-Posedness for the
Einstein--Vlasov System . . . . . . . . 3270--3321
Hongjie Li and
Hongyu Liu On Anomalous Localized Resonance for the
Elastostatic System . . . . . . . . . . 3322--3344
Hayk Aleksanyan Slow Convergence in Periodic
Homogenization Problems for
Divergence-Type Elliptic Operators . . . 3345--3382
Ning Jiang and
Linjie Xiong and
Teng-Fei Zhang Hydrodynamic Limits of the Kinetic
Self-Organized Models . . . . . . . . . 3383--3411
M. Cicalese and
L. De Luca and
M. Novaga and
M. Ponsiglione Ground States of a Two Phase Model with
Cross and Self Attractive Interactions 3412--3443
Daniel Han-Kwan and
Toan T. Nguyen Nonlinear Instability of Vlasov--Maxwell
Systems in the Classical and
Quasineutral Limits . . . . . . . . . . 3444--3466
Yan Guo and
Xiongfeng Yang Existence and BV-Regularity for Neutron
Transport Equation in NonConvex Domain 3467--3495
Miroslav Bulícek and
Annegret Glitzky and
Matthias Liero Systems Describing Electrothermal
Effects with $ p(x)$-Laplacian-like
Structure for Discontinuous Variable
Exponents . . . . . . . . . . . . . . . 3496--3514
Yoshikazu Giga and
Hiroyoshi Mitake and
Hung V. Tran On Asymptotic Speed of Solutions to
Level-Set Mean Curvature Flow Equations
with Driving and Source Terms . . . . . 3515--3546
Wael W. Mohammed and
Dirk Blömker Fast Diffusion Limit for
Reaction--Diffusion Systems with
Stochastic Neumann Boundary Conditions 3547--3578
Christian Heinemann and
Kevin Sturm Shape Optimization for a Class of
Semilinear Variational Inequalities with
Applications to Damage Models . . . . . 3579--3617
Karl Liechty and
Dong Wang Two Lax systems for the Painlevé II
Equation, and Two Related Kernels in
Random Matrix Theory . . . . . . . . . . 3618--3666
Jian-Guo Liu and
Xiangsheng Xu Existence Theorems for a
Multidimensional Crystal Surface Model 3667--3687
Evgeny Lakshtanov and
Armin Lechleiter Difference Factorizations and
Monotonicity in Inverse Medium
Scattering for Contrasts with Fixed Sign
on the Boundary . . . . . . . . . . . . 3688--3707
J. A. Carrillo and
F. S. Patacchini and
P. Sternberg and
G. Wolansky Convergence of a Particle Method for
Diffusive Gradient Flows in One
Dimension . . . . . . . . . . . . . . . 3708--3741
Qiang Xu Convergence Rates for General Elliptic
Homogenization Problems in Lipschitz
Domains . . . . . . . . . . . . . . . . 3742--3788
A. Bertozzi and
J. Garnett and
T. Laurent and
J. Verdera The Regularity of the Boundary of a
Multidimensional Aggregation Patch . . . 3789--3819
Masashi Ohnawa $ L^\infty $-stability of Discontinuous
Traveling Waves in a Hyperbolic-Elliptic
Coupled System . . . . . . . . . . . . . 3820--3839
Joshua Ballew and
Gautam Iyer and
Robert L. Pego Bose--Einstein Condensation in a
Hyperbolic Model for the Kompaneets
Equation . . . . . . . . . . . . . . . . 3840--3859
Juliana F. S. Pimentel Unbounded Sturm Global Attractors for
Semilinear Parabolic Equations on the
Circle . . . . . . . . . . . . . . . . . 3860--3882
Lorenzo Freddi and
Peter Hornung and
Maria Giovanna Mora and
Roberto Paroni A Variational Model for Anisotropic and
Naturally Twisted Ribbons . . . . . . . 3883--3906
Peter Bella and
Eduard Feireisl and
Marta Lewicka and
Antonín Novotný A Rigorous Justification of the Euler
and Navier--Stokes Equations with
Geometric Effects . . . . . . . . . . . 3907--3930
Raffaela Capitanelli and
Maria Agostina Vivaldi Dynamical Quasi-Filling Fractal Layers 3931--3961
Elena Beretta and
Maarten V. de Hoop and
Florian Faucher and
Otmar Scherzer Inverse Boundary Value Problem For The
Helmholtz Equation: Quantitative
Conditional Lipschitz Stability
Estimates . . . . . . . . . . . . . . . 3962--3983
Stephan De Bi\`evre and
Thierry Goudon and
Arthur Vavasseur Particles Interacting with a Vibrating
Medium: Existence of Solutions and
Convergence to the Vlasov--Poisson
System . . . . . . . . . . . . . . . . . 3984--4020
Yavar Kian Recovery of Time-Dependent Damping
Coefficients and Potentials Appearing in
Wave Equations from Partial Data . . . . 4021--4046
Patrizia Donato and
Daniela Giachetti Existence and Homogenization for a
Singular Problem Through Rough Surfaces 4047--4086
Jack Xin and
Yifeng Yu and
Andrej Zlatos Periodic Orbits of the ABC Flow with $ A
= B = C = 1 $ . . . . . . . . . . . . . 4087--4093
Benjamin Gess and
Jonas M. Tölle Ergodicity and Local Limits for
Stochastic Local and Nonlocal
$p$-Laplace Equations . . . . . . . . . 4094--4125
Kewei Zhang and
Elaine Crooks and
Antonio Orlando Compensated Convexity Methods for
Approximations and Interpolations of
Sampled Functions in Euclidean Spaces:
Theoretical Foundations . . . . . . . . 4126--4154
A. Lamacz and
B. Schweizer A Negative Index Meta-Material for
Maxwell's Equations . . . . . . . . . . 4155--4174
Bettina Detmann and
Pavel Krejcí and
Elisabetta Rocca Solvability of an Unsaturated Porous
Media Flow Problem with Thermomechanical
Interaction . . . . . . . . . . . . . . 4175--4201
Vandana Sharma and
Jeff Morgan Global Existence of Solutions to
Reaction--Diffusion Systems with Mass
Transport Type Boundary Conditions . . . 4202--4240
M. Bulícek and
J. Burczak and
S. Schwarzacher A Unified Theory for Some Non-Newtonian
Fluids Under Singular Forcing . . . . . 4241--4267
Bo-Chih Huang and
Shih-Wei Chou and
John M. Hong and
Chien-Chang Yen Global Transonic Solutions of Planetary
Atmospheres in a Hydrodynamic Region ---
Hydrodynamic Escape Problem Due to
Gravity and Heat . . . . . . . . . . . . 4268--4310
Wolf-Patrick Düll and
Kourosh Sanei Kashani and
Guido Schneider The Validity of Whitham's Approximation
for a Klein--Gordon--Boussinesq Model 4311--4334
Martins Bruveris Optimal Reparametrizations in the Square
Root Velocity Framework . . . . . . . . 4335--4354
Jinkai Li and
Edriss S. Titi Existence and Uniqueness of Weak
Solutions to Viscous Primitive Equations
for a Certain Class of Discontinuous
Initial Data . . . . . . . . . . . . . . 1--28
C. Choquet and
M. M. Diédhiou and
C. Rosier Mathematical Analysis of a Seawater
Intrusion Model Including Storativity 29--63
A. Piatnitski and
E. Zhizhina Periodic Homogenization of Nonlocal
Operators with a Convolution-Type Kernel 64--81
Julian Fischer and
Claudia Raithel Liouville Principles and a Large-Scale
Regularity Theory for Random Elliptic
Operators on the Half-Space . . . . . . 82--114
E. Bäumle and
M. Ruzicka Existence of Weak Solutions for Unsteady
Motions of Micropolar Electrorheological
Fluids . . . . . . . . . . . . . . . . . 115--141
Lirui Feng and
Yi Wang and
Jianhong Wu Semiflows ``Monotone with Respect to
High-Rank Cones'' on a Banach Space . . 142--161
Huanyao Wen and
Changjiang Zhu Global Solutions to the
Three-Dimensional Full Compressible
Navier--Stokes Equations with Vacuum at
Infinity in Some Classes of Large Data 162--221
Thomas Holding and
Harsha Hutridurga and
Jeffrey Rauch Convergence Along Mean Flows . . . . . . 222--271
Gunnar Kaib Stationary States of an Aggregation
Equation with Degenerate Diffusion and
Bounded Attractive Potential . . . . . . 272--296
Plamen Stefanov and
Yang Yang Thermo- and Photoacoustic Tomography
with Variable Speed and Planar Detectors 297--310
Alessio Brancolini and
Benedikt Wirth Optimal Energy Scaling for Micropatterns
in Transport Networks . . . . . . . . . 311--359
Charles M. Elliott and
Thomas Ranner and
Chandrasekhar Venkataraman Coupled Bulk-Surface Free Boundary
Problems Arising from a Mathematical
Model of Receptor-Ligand Dynamics . . . 360--397
Jorge Tejero Reconstruction and Stability for
Piecewise Smooth Potentials in the Plane 398--420
Bin Dong and
Zuowei Shen and
Peichu Xie Image Restoration: a General Wavelet
Frame Based Model and Its Asymptotic
Analysis . . . . . . . . . . . . . . . . 421--445
Shaowei Chen and
Zhaoli Liu and
Zhi-Qiang Wang A Variant of Clark's Theorem and Its
Applications for Nonsmooth Functionals
without the Palais--Smale Condition . . 446--470
Matthias Kurzke and
Jeremy L. Marzuola and
Daniel Spirn Gross--Pitaevskii Vortex Motion with
Critically Scaled Inhomogeneities . . . 471--500
Baishun Lai and
Junyu Lin and
Changyou Wang Forward Self-Similar Solutions to the
Viscoelastic Navier--Stokes Equation
with Damping . . . . . . . . . . . . . . 501--529
Jean-Philippe Lessard and
J. D. Mireles James Computer Assisted Fourier Analysis in
Sequence Spaces of Varying Regularity 530--561
Matthieu Alfaro and
Henri Berestycki and
Gaël Raoul The Effect of Climate Shift on a Species
Submitted to Dispersion, Evolution,
Growth, and Nonlocal Competition . . . . 562--596
Rafael de la Llave and
Xifeng Su and
Lei Zhang Resonant Equilibrium Configurations in
Quasi-Periodic Media: KAM Theory . . . . 597--625
Jeffrey S. Geronimo and
Plamen Iliev and
Walter Van Assche Alpert Multiwavelets and
Legendre--Angelesco Multiple Orthogonal
Polynomials . . . . . . . . . . . . . . 626--645
D. P. Hardin and
E. B. Saff and
O. V. Vlasiuk Generating Point Configurations via
Hypersingular Riesz Energy with an
External Field . . . . . . . . . . . . . 646--673
Sevdzhan Hakkaev and
Milena Stanislavova and
Atanas Stefanov Periodic Traveling Waves of the
Regularized Short Pulse and Ostrovsky
Equations: Existence and Stability . . . 674--698
Luca Bertagna and
Max Gunzburger Well Posedness Of A Coupled
ICE-Hydrology Problem Arising In
Glaciology . . . . . . . . . . . . . . . 699--722
Jaewook Ahn and
Kyungkeun Kang and
Junha Kim and
Jihoon Lee Lower Bound of Mass in a Chemotactic
Model with Advection and Absorbing
Reaction . . . . . . . . . . . . . . . . 723--755
Elena Beretta and
Elisa Francini and
Sergio Vessella Differentiability of the Dirichlet to
Neumann Map Under Movements of Polygonal
Inclusions with an Application to Shape
Optimization . . . . . . . . . . . . . . 756--776
Hirokazu Ninomiya and
Chang-Hong Wu Traveling Curved Waves in
Two-Dimensional Excitable Media . . . . 777--817
Gui-Qiang G. Chen and
Jie Kuang and
Yongqian Zhang Two-Dimensional Steady Supersonic
Exothermically Reacting Euler Flow past
Lipschitz Bending Walls . . . . . . . . 818--873
Nikita N. Senik Homogenization for Non-self-adjoint
Periodic Elliptic Operators on an
Infinite Cylinder . . . . . . . . . . . 874--898
Yunrui Zheng and
Ian Tice Local Well Posedness of the
Near-Equilibrium Contact Line Problem in
$2$-Dimensional Stokes Flow . . . . . . 899--953
Nikos I. Kavallaris and
Johannes Lankeit and
Michael Winkler On a Degenerate Nonlocal Parabolic
Problem Describing Infinite Dimensional
Replicator Dynamics . . . . . . . . . . 954--983
Fucai Li and
Yanmin Mu and
Dehua Wang Strong Solutions to the Compressible
Navier--Stokes--Vlasov--Fokker--Planck
Equations: Global Existence Near the
Equilibrium and Large Time Behavior . . 984--1026
Timothy J. Healey and
Sanjay Dharmavaram Symmetry-Breaking Global Bifurcation in
a Surface Continuum Phase-Field Model
for Lipid Bilayer Vesicles . . . . . . . 1027--1059
Isabella Ianni and
Stefan Le Coz and
Julien Royer On the Cauchy Problem and the Black
Solitons of a Singularly Perturbed
Gross--Pitaevskii Equation . . . . . . . 1060--1099
Thomas O. Gallouët and
Léonard Monsaingeon A JKO Splitting Scheme for
Kantorovich--Fisher--Rao Gradient Flows 1100--1130
Laurent Baratchart and
Martine Olivi and
Fabien Seyfert Boundary Nevanlinna--Pick Interpolation
with Prescribed Peak Points. Application
to Impedance Matching . . . . . . . . . 1131--1165
Antonin Chambolle and
Jimmy Lamboley and
Antoine Lemenant and
Eugene Stepanov Regularity for the Optimal Compliance
Problem with Length Penalization . . . . 1166--1224
Guanying Peng Convergence of the Lawrence--Doniach
Energy for Layered Superconductors with
Magnetic Fields Near $ H_{c_1} $ . . . . 1225--1266
Yu Gao and
Jian-Guo Liu Global Convergence of a Sticky Particle
Method for the Modified Camassa--Holm
Equation . . . . . . . . . . . . . . . . 1267--1294
Chanwoo Kim and
Ian Tice Dynamics and Stability of Surface Waves
with Surfactants . . . . . . . . . . . . 1295--1332
Dmitry Kaliuzhnyi-Verbovetskyi and
Georgi S. Medvedev The Semilinear Heat Equation on Sparse
Random Graphs . . . . . . . . . . . . . 1333--1355
D. Grandi and
U. Stefanelli Finite Plasticity in $ P^\top \! P $.
Part II: Quasi-Static Evolution and
Linearization . . . . . . . . . . . . . 1356--1384
Guillaume Carlier and
Vincent Duval and
Gabriel Peyré and
Bernhard Schmitzer Convergence of Entropic Schemes for
Optimal Transport and Gradient Flows . . 1385--1418
Riccarda Rossi and
Marita Thomas Coupling Rate-Independent and
Rate-Dependent Processes: Existence
Results . . . . . . . . . . . . . . . . 1419--1494
Hakima Bessaih and
María J. Garrido-Atienza and
Xiaoying Han and
Björn Schmalfuss Stochastic Lattice Dynamical Systems
with Fractional Noise . . . . . . . . . 1495--1518
Mi-Ran Choi and
Dirk Hundertmark and
Young-Ran Lee Thresholds for Existence of Dispersion
Management Solitons for General
Nonlinearities . . . . . . . . . . . . . 1519--1569
Andrea Bonito and
Albert Cohen and
Ronald DeVore and
Guergana Petrova and
Gerrit Welper Diffusion Coefficients Estimation for
Elliptic Partial Differential Equations 1570--1592
Karl Glasner Multilayered Equilibria in a Density
Functional Model of Copolymer-solvent
Mixtures . . . . . . . . . . . . . . . . 1593--1620
Xiaochuan Tian and
Qiang Du Trace Theorems for some Nonlocal
Function Spaces with Heterogeneous
Localization . . . . . . . . . . . . . . 1621--1644
B. Bogosel and
D. Bucur and
A. Giacomini Optimal Shapes Maximizing the Steklov
Eigenvalues . . . . . . . . . . . . . . 1645--1680
M. Sprengel and
G. Ciaramella and
A. Borz\`\i A Theoretical Investigation of
Time-Dependent Kohn--Sham Equations . . 1681--1704
Yuan Gao and
Jian-Guo Liu and
Jianfeng Lu Weak Solution of a Continuum Model For
Vicinal Surface in The
Attachment-Detachment-Limited Regime . . 1705--1731
Pierluigi Colli and
Gianni Gilardi and
Jürgen Sprekels Global Existence for a Nonstandard
Viscous Cahn--Hilliard System with
Dynamic Boundary Condition . . . . . . . 1732--1760
Stefan Neukamm and
Mathias Schäffner and
Anja Schlömerkemper Stochastic Homogenization of Nonconvex
Discrete Energies with Degenerate Growth 1761--1809
Alexey Miroshnikov and
Robin Young Weak* Solutions II: The Vacuum in
Lagrangian Gas Dynamics . . . . . . . . 1810--1843
Denis S. Grebenkov and
Bernard Helffer and
Raphael Henry The Complex Airy Operator on the Line
with a Semipermeable Barrier . . . . . . 1844--1894
Rima Alaifari and
Philipp Grohs Phase Retrieval In The General Setting
Of Continuous Frames For Banach Spaces 1895--1911
William C. Troy Phaselocked Solutions Of The Finite Size
Kuramoto Coupled Oscillator Model . . . 1912--1931
Peter Constantin and
Tarek Elgindi and
Mihaela Ignatova and
Vlad Vicol Remarks on the Inviscid Limit for the
Navier--Stokes Equations for Uniformly
Bounded Velocity Fields . . . . . . . . 1932--1946
M. Goldman and
B. Merlet Phase Segregation for Binary Mixtures of
Bose--Einstein Condensates . . . . . . . 1947--1981
Oh Sung Kwon and
Jae Ryong Kweon Interior Jump and Regularity of
Compressible Viscous Navier--Stokes
Flows Through a Cut . . . . . . . . . . 1982--2008
Natsumi Yoshida Asymptotic Behavior of Solutions Toward
a Multiwave Pattern to the Cauchy
Problem for the Scalar Conservation Law
with the Ostwald--de Waele-Type
Viscosity . . . . . . . . . . . . . . . 2009--2036
Michiel Bertsch and
Flavia Smarrazzo and
Alberto Tesei On a Class of Forward-Backward Parabolic
Equations: Properties of Solutions . . . 2037--2060
Tai-Ping Liu and
Haitao Wang Viscous Scalar Rarefaction Waves . . . . 2061--2100
Siqi Ren and
Weiren Zhao Linear Damping of Alfvén Waves by Phase
Mixing . . . . . . . . . . . . . . . . . 2101--2137
Hakho Hong and
Teng Wang Stability of Stationary Solutions to the
Inflow Problem for Full Compressible
Navier--Stokes Equations with a Large
Initial Perturbation . . . . . . . . . . 2138--2166
Kazuhiro Ishige and
Tatsuki Kawakami and
Hironori Michihisa Asymptotic Expansions of Solutions of
Fractional Diffusion Equations . . . . . 2167--2190
Thomas Kappeler and
Jan-Cornelius Molnar On the Well-Posedness of the Defocusing
mKdV Equation Below $ L^2 $ . . . . . . 2191--2219
Jian-Guo Liu and
Xiangsheng Xu Analytical Validation of a Continuum
Model for the Evolution of a Crystal
Surface in Multiple Space Dimensions . . 2220--2245
Claudio Cacciapuoti and
Raffaele Carlone and
Diego Noja and
Andrea Posilicano The One-Dimensional Dirac Equation With
Concentrated Nonlinearity . . . . . . . 2246--2268
Jack Schaeffer On Nearly Homogeneous States in
Collisionless Plasma . . . . . . . . . . 2269--2286
F. Berthelin Theoretical Study of a Multidimensional
Pressureless Model with Unilateral
Constraint . . . . . . . . . . . . . . . 2287--2320
Jean-Claude Saut and
Chao Wang and
Li Xu The Cauchy Problem on Large Time for
Surface-Waves-Type Boussinesq Systems II 2321--2386
Julián Fernández Bonder and
Antonella Ritorto and
Ariel Martin Salort $H$-Convergence Result for Nonlocal
Elliptic-Type Problems via Tartar's
Method . . . . . . . . . . . . . . . . . 2387--2408
Guangyi Hong and
Xiaofeng Hou and
Hongyun Peng and
Changjiang Zhu Global Existence for a Class of Large
Solutions to Three-Dimensional
Compressible Magnetohydrodynamic
Equations with Vacuum . . . . . . . . . 2409--2441
Christoph Schwab and
Rob Stevenson Fractional Space-Time Variational
Formulations of (Navier--) Stokes
Equations . . . . . . . . . . . . . . . 2442--2467
To Fu Ma and
Rodrigo Nunes Monteiro Singular Limit and Long-Time Dynamics of
Bresse Systems . . . . . . . . . . . . . 2468--2495
D. Breit and
A. Cianchi and
L. Diening Trace-Free Korn Inequalities in Orlicz
Spaces . . . . . . . . . . . . . . . . . 2496--2526
Nabile Boussa\"\id and
Andrew Comech Nonrelativistic Asymptotics of Solitary
Waves in the Dirac Equation with
Soler-Type Nonlinearity . . . . . . . . 2527--2572
Farzin Barekat and
Russel Caflisch and
Stanley Osher On the Support of Compressed Modes . . . 2573--2590
Geng Chen and
Ronghua Pan and
Shengguo Zhu Singularity Formation for the
Compressible Euler Equations . . . . . . 2591--2614
Michel Bellieud Homogenization of Stratified Elastic
Composites with High Contrast . . . . . 2615--2665
Laurent Desvillettes and
Klemens Fellner and
Bao Quoc Tang Trend to Equilibrium for
Reaction-Diffusion Systems Arising from
Complex Balanced Chemical Reaction
Networks . . . . . . . . . . . . . . . . 2666--2709
Donghyun Lee Uniform Estimate of Viscous
Free-Boundary Magnetohydrodynamics with
Zero Vacuum Magnetic Field . . . . . . . 2710--2789
Philippe Laurençot and
Bogdan-Vasile Matioc Self-Similarity in a Thin Film Muskat
Problem . . . . . . . . . . . . . . . . 2790--2842
Sandra Cerrai and
Alessandra Lunardi Averaging Principle for Nonautonomous
Slow--Fast Systems of Stochastic
Reaction--Diffusion Equations: The
Almost Periodic Case . . . . . . . . . . 2843--2884
Y. Almog The Clausius--Mossotti Formula for
Dilute Random Media of Perfectly
Conducting Inclusions . . . . . . . . . 2885--2919
Mingjie Li and
Qingtian Zhang Generic Regularity of Conservative
Solutions to Camassa--Holm Type
Equations . . . . . . . . . . . . . . . 2920--2949
Mária Lukácová-Medvidová and
Hana Mizerová and
Sárka Necasová and
Michael Renardy Global Existence Result for the
Generalized Peterlin Viscoelastic Model 2950--2964
Kyungkeun Kang and
Hwa Kil Kim Existence of Weak Solutions in
Wasserstein Space for a Chemotaxis Model
Coupled to Fluid Equations . . . . . . . 2965--3004
Yulong Lu and
Andrew Stuart and
Hendrik Weber Gaussian Approximations for Transition
Paths in Brownian Dynamics . . . . . . . 3005--3047
Giacomo Di Ges\`u and
Mauro Mariani Full Metastable Asymptotic of the Fisher
Information . . . . . . . . . . . . . . 3048--3072
Michael Lindsey and
Yanir A. Rubinstein Optimal Transport via a Monge--Amp\`ere
Optimization Problem . . . . . . . . . . 3073--3124
Haigang Li and
Longjuan Xu Optimal Estimates for the Perfect
Conductivity Problem with Inclusions
Close to the Boundary . . . . . . . . . 3125--3142
Noureddine Igbida Metric Character for the
Sub-Hamilton--Jacobi Obstacle Equation 3143--3160
Renato C. Calleja and
Alessandra Celletti and
Livia Corsi and
Rafael de la Llave Response Solutions for
Quasi-Periodically Forced, Dissipative
Wave Equations . . . . . . . . . . . . . 3161--3207
Hoai-Minh Nguyen Cloaking an Arbitrary Object via
Anomalous Localized Resonance: The Cloak
is Independent of the Object . . . . . . 3208--3232
Emeric Bouin and
Franca Hoffmann and
Clément Mouhot Exponential Decay to Equilibrium for a
Fiber Lay-Down Process on a Moving
Conveyor Belt . . . . . . . . . . . . . 3233--3251
Habib Ammari and
Hai Zhang Effective Medium Theory for Acoustic
Waves in Bubbly Fluids near Minnaert
Resonant Frequency . . . . . . . . . . . 3252--3276
Axel Klar and
Lisa Kreusser and
Oliver Tse Trend to Equilibrium for a Delay
Vlasov--Fokker--Planck Equation and
Explicit Decay Estimates . . . . . . . . 3277--3298
Aneta Wróblewska-Kami\'nska The Asymptotic Analysis of the Complete
Fluid System on a Varying Domain: From
the Compressible to the Incompressible
Flow . . . . . . . . . . . . . . . . . . 3299--3334
Antoine Benoit Geometric Optics Expansions for
Hyperbolic Corner Problems II: From Weak
Stability to Violent Instability . . . . 3335--3395
Masaya Maeda Existence and Asymptotic Stability of
Quasi-Periodic Solutions of Discrete NLS
with Potential . . . . . . . . . . . . . 3396--3426
Jianfeng Cheng and
Lili Du and
Wei Xiang Incompressible Réthy Flows in Two
Dimensions . . . . . . . . . . . . . . . 3427--3475
Cosmin Burtea and
Frédéric Charve Lagrangian Methods for a General
Inhomogeneous Incompressible
Navier--Stokes--Korteweg System with
Variable Capillarity and Viscosity
Coefficients . . . . . . . . . . . . . . 3476--3495
Feimin Huang and
Wenke Tan On the Strong Solution of the Ghost
Effect System . . . . . . . . . . . . . 3496--3526
Gregory Roth and
Paul L. Salceanu and
Sebastian J. Schreiber Robust Permanence for Ecological Maps 3527--3549
V. G. Danilov Nonsmooth Nonoscillating
Exponential-type Asymptotics for Linear
Parabolic PDE . . . . . . . . . . . . . 3550--3572
Robin Ming Chen and
Lili Fan and
Hongjun Gao and
Yue Liu Breaking Waves And Solitary Waves To The
Rotation-Two-Component Camassa--Holm
System . . . . . . . . . . . . . . . . . 3573--3602
Xing Liang and
Lei Zhang and
Xiao-Qiang Zhao The Principal Eigenvalue for Degenerate
Periodic Reaction-Diffusion Systems . . 3603--3636
M. Campos Pinto and
B. Després Constructive Formulations of Resonant
Maxwell's Equations . . . . . . . . . . 3637--3670
Yujin Guo and
Changshou Lin and
Juncheng Wei Local Uniqueness and Refined Spike
Profiles of Ground States for
Two-Dimensional Attractive
Bose--Einstein Condensates . . . . . . . 3671--3715
P. Polácik Planar Propagating Terraces and the
Asymptotic One-dimensional Symmetry of
Solutions of Semilinear Parabolic
Equations . . . . . . . . . . . . . . . 3716--3740
Jaime E. Muñoz Rivera and
Reinhard Racke Transmission Problems in
(Thermo)Viscoelasticity with
Kelvin--Voigt Damping: Nonexponential,
Strong, and Polynomial Stability . . . . 3741--3765
Evgeny Lakshtanov and
Jorge Tejero and
Boris Vainberg Uniqueness in the Inverse Conductivity
Problem for Complex-Valued Lipschitz
Conductivities in the Plane . . . . . . 3766--3775
Miroslav Bulícek and
Milan Pokorný and
Nicola Zamponi Existence Analysis for Incompressible
Fluid Model of Electrically Charged
Chemically Reacting and Heat Conducting
Mixtures . . . . . . . . . . . . . . . . 3776--3830
Shu Gu and
Qiang Xu Optimal Boundary Estimates for Stokes
Systems in Homogenization Theory . . . . 3831--3853
Bin Cheng and
Jingrui Cheng and
Michael Cullen and
John Norbury and
Matthew Turner A Rigorous Treatment of Moist Convection
in a Single Column . . . . . . . . . . . 3854--3892
Pablo Raúl Stinga and
José L. Torrea Regularity Theory and Extension Problem
for Fractional Nonlocal Parabolic
Equations and the Master Equation . . . 3893--3924
Xinfu Chen and
Je-Chiang Tsai and
Yaping Wu Longtime Behavior of Solutions of a SIS
Epidemiological Model . . . . . . . . . 3925--3950
Yixian Gao and
Peijun Li and
Bo Zhang Analysis of Transient Acoustic-Elastic
Interaction in an Unbounded Structure 3951--3972
Gianluca Crippa and
Camilla Nobili and
Christian Seis and
Stefano Spirito Eulerian and Lagrangian Solutions to the
Continuity and Euler Equations with $
L^1 $ Vorticity . . . . . . . . . . . . 3973--3998
Marcin Bownik and
Mads S. Jakobsen and
Jakob Lemvig and
Kasso A. Okoudjou On Wilson Bases in $ L^2 (\mathbb {R}^d)
$ . . . . . . . . . . . . . . . . . . . 3999--4023
Jonathan Ben-Artzi and
Thomas Holding Instabilities of the Relativistic
Vlasov--Maxwell System on Unbounded
Domains . . . . . . . . . . . . . . . . 4024--4063
Luis Escauriaza and
Santiago Montaner and
Can Zhang Analyticity of Solutions to Parabolic
Evolutions and Applications . . . . . . 4064--4092
Zhenjie Ren and
Nizar Touzi and
Jianfeng Zhang Comparison of Viscosity Solutions of
Fully Nonlinear Degenerate Parabolic
Path-Dependent PDEs . . . . . . . . . . 4093--4116
Eddie Nijholt and
Bob Rink and
Jan Sanders Center Manifolds of Coupled Cell
Networks . . . . . . . . . . . . . . . . 4117--4148
Maria Giovanna Mora and
Mark A. Peletier and
Lucia Scardia Convergence of Interaction-Driven
Evolutions of Dislocations with
Wasserstein Dissipation and Slip-Plane
Confinement . . . . . . . . . . . . . . 4149--4205
E. Compaan Smoothing for the Zakharov and
Klein--Gordon--Schrödinger Systems on
Euclidean Spaces . . . . . . . . . . . . 4206--4231
Kazunori Ando and
Hyeonbae Kang and
Kyoungsun Kim and
Sanghyeon Yu Spectrum of Neumann--Poincaré Operator on
Annuli and Cloaking by Anomalous
Localized Resonance for Linear
Elasticity . . . . . . . . . . . . . . . 4232--4250
Braxton Osting and
Todd Harry Reeb Consistency of Dirichlet Partitions . . 4251--4274
Michel Bellieud and
Shane Cooper Asymptotic Analysis of Stratified
Elastic Media in the Space of Functions
with Bounded Deformation . . . . . . . . 4275--4317
Manon Baudel and
Nils Berglund Spectral Theory for Random Poincaré Maps 4319--4375
Jessika Camaño and
Christopher Lackner and
Peter Monk Electromagnetic Stekloff Eigenvalues in
Inverse Scattering . . . . . . . . . . . 4376--4401
Óscar Ciaurri and
Adam Nowak and
Luz Roncal Two-Weight Mixed Norm Estimates for a
Generalized Spherical Mean Radon
Transform Acting on Radial Functions . . 4402--4439
Juraj Földes and
Susan Friedlander and
Nathan Glatt-Holtz and
Geordie Richards Asymptotic Analysis for Randomly Forced
MHD . . . . . . . . . . . . . . . . . . 4440--4469
Michael Feischl and
Thanh Tran Existence of Regular Solutions of the
Landau--Lifshitz--Gilbert Equation in
$3$D with Natural Boundary Conditions 4470--4490
Irene Fonseca and
Pan Liu The Weighted Ambrosio--Tortorelli
Approximation Scheme . . . . . . . . . . 4491--4520
Scott A. Smith Random Perturbations of Viscous,
Compressible Fluids: Global Existence of
Weak Solutions . . . . . . . . . . . . . 4521--4578
Jason Metcalfe and
Chengbo Wang The Strauss Conjecture on Asymptotically
Flat Space-Times . . . . . . . . . . . . 4579--4594
Luca Rossi and
Andrea Tellini and
Enrico Valdinoci The Effect on Fisher--KPP Propagation in
a Cylinder with Fast Diffusion on the
Boundary . . . . . . . . . . . . . . . . 4595--4624
Loredana Balilescu and
Jorge San Martín and
Takéo Takahashi Fluid-Rigid Structure Interaction System
with Coulomb's Law . . . . . . . . . . . 4625--4657
Peter Bella and
Benjamin Fehrman and
Julian Fischer and
Felix Otto Stochastic Homogenization of Linear
Elliptic Equations: Higher-Order Error
Estimates in Weak Norms Via Second-Order
Correctors . . . . . . . . . . . . . . . 4658--4703
Francis J. Chung and
John C. Schotland Inverse Transport and Acousto-Optic
Imaging . . . . . . . . . . . . . . . . 4704--4721
Jacob Bedrossian and
Siming He Suppression of Blow-Up in
Patlak--Keller--Segel Via Shear Flows 4722--4766
Jingyu Li and
Ming Mei and
Guojing Zhang and
Kaijun Zhang Steady Hydrodynamic Model of
Semiconductors with Sonic Boundary: (I)
Subsonic Doping Profile . . . . . . . . 4767--4811
Joachim Hoffmann and
Serge Kräutle and
Peter Knabner Existence and Uniqueness of a Global
Solution for Reactive Transport with
Mineral Precipitation--Dissolution and
Aquatic Reactions in Porous Media . . . 4812--4837
Ronald R. Coifman and
Stefan Steinerberger and
Hau-tieng Wu Carrier Frequencies, Holomorphy, and
Unwinding . . . . . . . . . . . . . . . 4838--4864
Walter A. Strauss and
Yilun Wu Steady States of Rotating Stars and
Galaxies . . . . . . . . . . . . . . . . 4865--4914
José Luis López and
Juan Soler A Space-Time Wigner Function Approach to
Long Time Schrödinger--Poisson Dynamics 4915--4941
Mahir Hadzi\'c and
Gustavo Navarro and
Steve Shkoller Local Well-Posedness and Global
Stability of the Two-Phase Stefan
Problem . . . . . . . . . . . . . . . . 4942--5006
Mimi Dai Regularity Problem for the Nematic LCD
System with $Q$-tensor in $ \mathbb R^3$ 5007--5030
Zied Ammari and
Marco Falconi Bohr's Correspondence Principle for the
Renormalized Nelson Model . . . . . . . 5031--5095
Amin Esfahani and
Steve Levandosky Stability of Solitary Waves of the
Kadomtsev--Petviashvili Equation with a
Weak Rotation . . . . . . . . . . . . . 5096--5133
Xueke Pu and
Meng Wang and
Wendong Wang The Landau--Lifshitz Equation of the
Ferromagnetic Spin Chain and
Oseen--Frank Flow . . . . . . . . . . . 5134--5157
Yilun Wu Jost Solutions and the Direct Scattering
Problem of the Benjamin--Ono Equation 5158--5206
Hongyu Liu and
Jingni Xiao On Electromagnetic Scattering from a
Penetrable Corner . . . . . . . . . . . 5207--5241
Gerhard Rein The Asymptotic Behavior of Solutions to
the Repulsive $n$-Body Problem . . . . . 1--4
Jieren Xu and
Haizhao Yang and
Ingrid Daubechies Recursive Diffeomorphism-Based
Regression for Shape Functions . . . . . 5--32
Arnaud Triay Derivation of the Dipolar
Gross--Pitaevskii Energy . . . . . . . . 33--63
A. Komech and
E. Kopylova On Orbital Stability of Ground States
for Finite Crystals in Fermionic
Schrödinger--Poisson Model . . . . . . . 64--85
Steinar Evje and
Huanyao Wen A Stokes Two-Fluid Model for Cell
Migration that Can Account for Physical
Cues in the Microenvironment . . . . . . 86--118
Anna Dall'Acqua and
Klaus Deckelnick An Obstacle Problem for Elastic Graphs 119--137
I-Kun Chen Regularity of Stationary Solutions to
the Linearized Boltzmann Equations . . . 138--161
Antonio De Rosa Minimization of Anisotropic Energies in
Classes of Rectifiable Varifolds . . . . 162--181
Timothy E. Faver and
J. Douglas Wright Exact Diatomic
Fermi--Pasta--Ulam--Tsingou Solitary
Waves with Optical Band Ripples at
Infinity . . . . . . . . . . . . . . . . 182--250
Francesco Maddalena and
Danilo Percivale and
Franco Tomarelli Variational Problems for Föppl--von Kármán
Plates . . . . . . . . . . . . . . . . . 251--282
Yang Jiaqi and
Yin Huicheng On the Steady Non-Newtonian Fluids in
Domains with Noncompact Boundaries . . . 283--338
Yasunori Maekawa and
Hideyuki Miura On Isomorphism for the Space of
Solenoidal Vector Fields and Its
Application to the Incompressible Flows 339--353
Vera Mikyoung Hur and
Lizheng Tao Wave Breaking in a Shallow Water Model 354--380
Eric Canc\`es and
L. Ridgway Scott Van der Waals Interactions Between Two
Hydrogen Atoms: The Slater--Kirkwood
Method Revisited . . . . . . . . . . . . 381--410
Julian Fischer and
Günther Grün Existence of Positive Solutions to
Stochastic Thin-Film Equations . . . . . 411--455
Paolo Baroni and
Tuomo Kuusi and
Casimir Lindfors and
José Miguel Urbano Existence and Boundary Regularity for
Degenerate Phase Transitions . . . . . . 456--490
Fei Jiang and
Song Jiang On the Stabilizing Effect of the
Magnetic Fields in the Magnetic
Rayleigh--Taylor Problem . . . . . . . . 491--540
Cristi Guevara and
Nguyen Cong Phuc Leray's Self-Similar Solutions to the
Navier--Stokes Equations with Profiles
in Marcinkiewicz and Morrey Spaces . . . 541--556
Yong Lu and
Zhifei Zhang Relative Entropy, Weak-Strong
Uniqueness, and Conditional Regularity
for a Compressible Oldroyd--B Model . . 557--590
G. Ambartsoumian and
R. Felea and
V. P. Krishnan and
C. J. Nolan and
E. T. Quinto Singular FIOs in SAR Imaging, II:
Transmitter and Receiver at Different
Speeds . . . . . . . . . . . . . . . . . 591--621
Denis S. Grebenkov and
Bernard Helffer On Spectral Properties of the
Bloch--Torrey Operator in Two Dimensions 622--676
Simon N. Chandler-Wilde and
David P. Hewett Well-Posed PDE and Integral Equation
Formulations for Scattering by Fractal
Screens . . . . . . . . . . . . . . . . 677--717
Jingyu Li and
Ming Mei and
Guojing Zhang and
Kaijun Zhang Steady Hydrodynamic Model of
Semiconductors with Sonic Boundary: (II)
Supersonic Doping Profile . . . . . . . 718--734
Paolo Butt\`a and
Carlo Marchioro Long Time Evolution of Concentrated
Euler Flows with Planar Symmetry . . . . 735--760
S. Adly and
T. Haddad An Implicit Sweeping Process Approach to
Quasistatic Evolution Variational
Inequalities . . . . . . . . . . . . . . 761--778
José C. Bellido and
Carlos Mora-Corral Lower Semicontinuity and Relaxation Via
Young Measures for Nonlocal Variational
Problems and Applications to
Peridynamics . . . . . . . . . . . . . . 779--809
Andres Contreras and
Dmitry E. Pelinovsky and
Michael Plum Orbital Stability of Domain Walls in
Coupled Gross--Pitaevskii Systems . . . 810--833
Maja Taskovi\'c and
Ricardo J. Alonso and
Irene M. Gamba and
Natasa Pavlovi\'c On Mittag-Leffler Moments for the
Boltzmann Equation for Hard Potentials
Without Cutoff . . . . . . . . . . . . . 834--869
Trevor M. Leslie and
Roman Shvydkoy Conditions Implying Energy Equality for
Weak Solutions of the Navier--Stokes
Equations . . . . . . . . . . . . . . . 870--890
Natsumi Yoshida Asymptotic Behavior of Solutions Toward
the Viscous Shock Waves to the Cauchy
Problem for the Scalar Conservation Law
with Nonlinear Flux and Viscosity . . . 891--932
Jun Li and
Ingo Witt and
Huicheng Yin Global Multidimensional Shock Waves of
$2$-Dimensional and $3$-Dimensional
Unsteady Potential Flow Equations . . . 933--1009
Hél\`ene Barucq and
Rabia Djellouli and
Elodie Estecahandy and
Mohand Moussaoui Mathematical Determination of the Fréchet
Derivative with Respect to the Domain
for a Fluid-Structure Scattering
Problem: Case of Polygonal-Shaped
Domains . . . . . . . . . . . . . . . . 1010--1036
Jan Haskovec and
Sabine Hittmeir and
Peter Markowich and
Alexander Mielke Decay to Equilibrium for
Energy--Reaction--Diffusion Systems . . 1037--1075
Margarida Baía and
Stefan Krömer and
Martin Kruzík Generalized $ W^{1, 1}$--Young Measures
and Relaxation of Problems with Linear
Growth . . . . . . . . . . . . . . . . . 1076--1119
Tao Tao and
Liqun Zhang On the Continuous Periodic Weak
Solutions of Boussinesq Equations . . . 1120--1162
Guido Sweers and
Katerina Vassi Positivity for a Hinged Convex Plate
with Stress . . . . . . . . . . . . . . 1163--1174
Sergei Trofimchuk and
Vitaly Volpert Traveling Waves for a Bistable
Reaction--Diffusion Equation with Delay 1175--1199
Barbora Benesová and
Johannes Forster and
Chun Liu and
Anja Schlömerkemper Existence of Weak Solutions to an
Evolutionary Model for Magnetoelasticity 1200--1236
John Holmes and
Barbara Keyfitz and
Feride Tiglay Nonuniform Dependence on Initial Data
for Compressible Gas Dynamics: The
Cauchy Problem on $ \mathbb {R}^2 $ . . 1237--1254
Alpár Richárd Mészáros and
Francisco J. Silva On the Variational Formulation of Some
Stationary Second-Order Mean Field Games
Systems . . . . . . . . . . . . . . . . 1255--1277
Ricardo Alonso and
Véronique Bagland and
Yingda Cheng and
Bertrand Lods One-Dimensional Dissipative Boltzmann
Equation: Measure Solutions, Cooling
Rate, and Self-Similar Profile . . . . . 1278--1321
Hao Tang On the Pathwise Solutions to the
Camassa--Holm Equation with
Multiplicative Noise . . . . . . . . . . 1322--1366
Ansgar Jüngel and
Jirí Mikyska and
Nicola Zamponi Existence Analysis of a Single-Phase
Flow Mixture with van der Waals Pressure 1367--1395
Dong-Ho Tsai and
Xiao-Liu Wang The Evolution of Nonlocal Curvature Flow
Arising in a Hele--Shaw Problem . . . . 1396--1431
Zhong Tan and
Yanjin Wang Global Well-Posedness of an
Initial-Boundary Value Problem for
Viscous Non-Resistive MHD Systems . . . 1432--1470
Alexis Drouot Bound States for Rapidly Oscillatory
Schrödinger Operators in Dimension $2$ 1471--1484
Andrea Braides and
Leonard Kreutz An Integral-Representation Result for
Continuum Limits of Discrete Energies
with Multibody Interactions . . . . . . 1485--1520
Jinlong Wei and
Jinqiao Duan and
Guangying Lv Kinetic Solutions for Nonlocal Scalar
Conservation Laws . . . . . . . . . . . 1521--1543
Amal Alphonse and
Charles M. Elliott and
Joana Terra A Coupled Ligand-Receptor Bulk-Surface
System on a Moving Domain: Well
Posedness, Regularity, and Convergence
to Equilibrium . . . . . . . . . . . . . 1544--1592
Kailong Yang and
Lifeng Zhao Global Well-Posedness and Scattering for
Mass-Critical, Defocusing, Infinite
Dimensional Vector-Valued Resonant
Nonlinear Schrödinger System . . . . . . 1593--1655
Patrick Guidotti and
Christoph Walker On a Model for a Sliding Droplet:
Well-posedness and Stability of
Translating Circular Solutions . . . . . 1656--1678
Nestor Guillen and
Russell W. Schwab Neumann Homogenization via
Integro-Differential Operators.Part 2:
Singular Gradient Dependence . . . . . . 1679--1719
Albert Cohen and
Christoph Schwab and
Jakob Zech Shape Holomorphy of the Stationary
Navier--Stokes Equations . . . . . . . . 1720--1752
Hanming Zhou The Local Magnetic Ray Transform of
Tensor Fields . . . . . . . . . . . . . 1753--1778
Benjamin Schachter A New Class of First Order Displacement
Convex Functionals . . . . . . . . . . . 1779--1789
Shi Jin and
Yuhua Zhu Hypocoercivity and Uniform Regularity
for the Vlasov--Poisson--Fokker--Planck
System with Uncertainty and Multiple
Scales . . . . . . . . . . . . . . . . . 1790--1816
Young-Heon Kim and
Brendan Pass A Canonical Barycenter via Wasserstein
Regularization . . . . . . . . . . . . . 1817--1828
Hai-liang Li and
Teng Wang and
Yi Wang Stability of the Superposition of a
Viscous Contact Wave with Two
Rarefaction Waves to the Bipolar
Vlasov--Poisson--Boltzmann System . . . 1829--1876
Roberta Bianchini Uniform Asymptotic and Convergence
Estimates for the Jin--Xin Model Under
the Diffusion Scaling . . . . . . . . . 1877--1899
Carlota M. Cuesta and
Hans Knüpfer and
Juan J. L. Velázquez Self-Similar Lifting and Persistent
Touch-Down Points in the Thin-Film
Equation . . . . . . . . . . . . . . . . 1900--1917
Jamie M. Taylor An Analysis of Equilibria in Dense
Nematic Liquid Crystals . . . . . . . . 1918--1957
Björn de Rijk Spectra and Stability of Spatially
Periodic Pulse Patterns II: The Critical
Spectral Curve . . . . . . . . . . . . . 1958--2019
Toan T. Nguyen and
Minh-Binh Tran On the Kinetic Equation in Zakharov's
Wave Turbulence Theory for Capillary
Waves . . . . . . . . . . . . . . . . . 2020--2047
Jason S. Howell and
Daniel Toundykov and
Justin T. Webster A Cantilevered Extensible Beam in Axial
Flow: Semigroup Well-posedness and
Postflutter Regimes . . . . . . . . . . 2048--2085
John A. D. Appleby and
Denis D. Patterson Growth Rates of Sublinear Functional and
Volterra Differential Equations . . . . 2086--2110
Carlo Marinelli On Well-Posedness of Semilinear
Stochastic Evolution Equations on $ L_p
$ Spaces . . . . . . . . . . . . . . . . 2111--2143
T. Bennett and
C. J. Howls and
G. Nemes and
A. B. Olde Daalhuis Globally Exact Asymptotics for Integrals
with Arbitrary Order Saddles . . . . . . 2144--2177
Elena Cordero and
Maurice de Gosson and
Monika Dörfler and
Fabio Nicola On the Symplectic Covariance and
Interferences of Time-Frequency
Distributions . . . . . . . . . . . . . 2178--2193
Hyung Ju Hwang and
Juhi Jang and
Jaewoo Jung The Fokker--Planck Equation with
Absorbing Boundary Conditions in Bounded
Domains . . . . . . . . . . . . . . . . 2194--2232
Dan Dai and
Shuai-Xia Xu and
Lun Zhang Gap Probability at the Hard Edge for
Random Matrix Ensembles with Pole
Singularities in the Potential . . . . . 2233--2279
Neal Bez and
Jayson Cunanan and
Sanghyuk Lee Smoothing Estimates for the Kinetic
Transport Equation at the Critical
Regularity . . . . . . . . . . . . . . . 2280--2294
Eleanor Holland and
R. E. Showalter Poro-Visco-Elastic Compaction in
Sedimentary Basins . . . . . . . . . . . 2295--2316
Susana Frómeta and
Milton Jara Scaling Limit for a Long-Range Divisible
Sandpile . . . . . . . . . . . . . . . . 2317--2361
Michiel Bertsch and
Bruno Franchi and
Maria Carla Tesi and
Andrea Tosin Well-Posedness of a Mathematical Model
for Alzheimer's Disease . . . . . . . . 2362--2388
Nikola Naidenov and
Geno Nikolov and
Alexei Shadrin On the Largest Critical Value of $
T_n^(k) $ . . . . . . . . . . . . . . . 2389--2408
Umberto Mosco Finite-Time Self-Organized-Criticality
on Synchronized Infinite Grids . . . . . 2409--2440
Dmitry Kaliuzhnyi-Verbovetskyi and
Georgi S. Medvedev The Mean Field Equation for the Kuramoto
Model on Graph Sequences with
Non-Lipschitz Limit . . . . . . . . . . 2441--2465
Sören Schwenker Generic Steady State Bifurcations in
Monoid Equivariant Dynamics with
Applications in Homogeneous Coupled Cell
Systems . . . . . . . . . . . . . . . . 2466--2485
Bin Cheng and
Peng Qu and
Chunjing Xie Singularity Formation and Global
Existence of Classical Solutions for
One-Dimensional Rotating Shallow Water
System . . . . . . . . . . . . . . . . . 2486--2508
Simone Cacace and
Fabio Camilli and
Lucilla Corrias A Differential Model for Growing
Sandpiles on Networks . . . . . . . . . 2509--2535
Andreas Kirsch and
Armin Lechleiter The Limiting Absorption Principle and a
Radiation Condition for the Scattering
by a Periodic Layer . . . . . . . . . . 2536--2565
Jonathan J. Bevan and
Jonathan H. B. Deane A Calibration Method for Estimating
Critical Cavitation Loads from Below in
Three Dimensional Nonlinear Elasticity 2566--2587
Wei Liu and
Michael Röckner and
José Luís da Silva Quasi-Linear (Stochastic) Partial
Differential Equations with
Time-Fractional Derivatives . . . . . . 2588--2607
Giuseppe Buttazzo and
Bozhidar Velichkov A Shape Optimal Control Problem with
Changing Sign Data . . . . . . . . . . . 2608--2627
Augusto Visintin Structural Compactness and Stability of
Semi-Monotone Flows . . . . . . . . . . 2628--2663
Carmen Cortázar and
Fernando Quirós and
Noemí Wolanski Near-Field Asymptotics for the Porous
Medium Equation in Exterior Domains. The
Critical Two-Dimensional Case . . . . . 2664--2680
Rowan Killip and
Jason Murphy and
Monica Visan The Initial-Value Problem for the
Cubic-Quintic NLS with Nonvanishing
Boundary Conditions . . . . . . . . . . 2681--2739
Xuemei Deng and
Tian-Yi Wang and
Wei Xiang Three-Dimensional Full Euler Flows with
Nontrivial Swirl in Axisymmetric Nozzles 2740--2772
Yu Ran and
Shu-Ming Sun and
Bing-Yu Zhang Nonhomogeneous Boundary Value Problems
of Nonlinear Schrödinger Equations in a
Half Plane . . . . . . . . . . . . . . . 2773--2806
Yu Gao and
Lei Li and
Jian-Guo Liu A Dispersive Regularization for the
Modified Camassa--Holm Equation . . . . 2807--2838
Satoshi Masaki and
Jun-Ichi Segata Refinement of Strichartz Estimates for
Airy Equation in Nondiagonal Case and
its Application . . . . . . . . . . . . 2839--2866
Lei Li and
Jian-Guo Liu A Generalized Definition of Caputo
Derivatives and Its Application to
Fractional ODEs . . . . . . . . . . . . 2867--2900
Benedetto Piccoli and
Magali Tournus A General BV Existence Result for
Conservation Laws with Spatial
Heterogeneities . . . . . . . . . . . . 2901--2927
Matteo Dalla Riva and
Luigi Provenzano On Vibrating Thin Membranes with Mass
Concentrated Near the Boundary: an
Asymptotic Analysis . . . . . . . . . . 2928--2967
A. Alexandrou Himonas and
Curtis Holliman and
Carlos Kenig Construction of $2$-Peakon Solutions and
Ill-Posedness for the Novikov Equation 2968--3006
Verena Bögelein and
Frank Duzaar and
Christoph Scheven and
Thomas Singer Existence of Variational Solutions in
Noncylindrical Domains . . . . . . . . . 3007--3057
Qianqian Hou and
Cheng-Jie Liu and
Ya-Guang Wang and
Zhian Wang Stability of Boundary Layers for a
Viscous Hyperbolic System Arising from
Chemotaxis: One-Dimensional Case . . . . 3058--3091
Seung-Yeal Ha and
Jeongho Kim and
Tommaso Ruggeri Emergent Behaviors of Thermodynamic
Cucker--Smale Particles . . . . . . . . 3092--3121
Hoang-Hung Vo and
Seonghak Kim Convex Integration for Scalar
Conservation Laws in One Space Dimension 3122--3146
TongKeun Chang and
Hi Jun Choe and
Kyungkeun Kang On Maximum Modulus Estimates of the
Navier--Stokes Equations with Nonzero
Boundary Data . . . . . . . . . . . . . 3147--3171
Felipe Linares and
Didier Pilod and
Jean-Claude Saut The Cauchy Problem for the Fractional
Kadomtsev--Petviashvili Equations . . . 3172--3209
Martin Burger and
Marco Di Francesco and
Simone Fagioli and
Angela Stevens Sorting Phenomena in a Mathematical
Model For Two Mutually
Attracting/Repelling Species . . . . . . 3210--3250
Satoshi Masaki and
Hayato Miyazaki Long Range Scattering for Nonlinear
Schrödinger Equations with Critical
Homogeneous Nonlinearity . . . . . . . . 3251--3270
László Erdös and
Torben Krüger and
David Renfrew Power Law Decay for Systems of Randomly
Coupled Differential Equations . . . . . 3271--3290
Catalin I. Cârstea and
Naofumi Honda and
Gen Nakamura Uniqueness in the Inverse Boundary Value
Problem for Piecewise Homogeneous
Anisotropic Elasticity . . . . . . . . . 3291--3302
William M. Feldman Stability of Serrin's Problem and
Dynamic Stability of a Model for Contact
Angle Motion . . . . . . . . . . . . . . 3303--3326
Graeme W. Milton Approximating the Effective Tensor as a
Function of the Component Tensors in
Two-Dimensional Composites of Two
Anisotropic Phases . . . . . . . . . . . 3327--3364
Emeric Bouin and
Jimmy Garnier and
Christopher Henderson and
Florian Patout Thin Front Limit of an
Integro-differential Fisher--KPP
Equation with Fat-Tailed Kernels . . . . 3365--3394
Noa Kraitzman and
Keith Promislow Pearling Bifurcations in the Strong
Functionalized Cahn--Hilliard Free
Energy . . . . . . . . . . . . . . . . . 3395--3426
François Générau and
Edouard Oudet Large Volume Minimizers of a Nonlocal
Isoperimetric Problem: Theoretical and
Numerical Approaches . . . . . . . . . . 3427--3450
Simone Di Marino and
Jean Louet The Entropic Regularization of the Monge
Problem on the Real Line . . . . . . . . 3451--3477
Ryo Ito Analysis of the Minimal Traveling Wave
Speed via the Methods of Young Measures 3478--3534
Geng Lai Interactions of Composite Waves of the
Two-Dimensional Full Euler Equations for
van der Waals Gases . . . . . . . . . . 3535--3597
Anderson L. A. de Araujo and
Paulo M. D. de Magalhães Existence of Solutions and Local Null
Controllability for a Model of Tissue
Invasion by Solid Tumors . . . . . . . . 3598--3631
Gui-Qiang G. Chen and
Apala Majumdar and
Dehua Wang and
Rongfang Zhang Global Weak Solutions for the
Compressible Active Liquid Crystal
System . . . . . . . . . . . . . . . . . 3632--3675
Maria Pia Gualdani and
Nicola Zamponi Global Existence of Weak Even Solutions
for an Isotropic Landau Equation with
Coulomb Potential . . . . . . . . . . . 3676--3714
Vianney Combet and
Yvan Martel Construction of Multibubble Solutions
for the Critical GKDV Equation . . . . . 3715--3790
Angkana Rüland and
Christian Zillinger and
Barbara Zwicknagl Higher Sobolev Regularity of Convex
Integration Solutions in Elasticity: The
Dirichlet Problem with Affine Data in $
{\rm int}(K^{lc}) $ . . . . . . . . . . 3791--3841
Manuel Friedrich A Piecewise Korn Inequality in SBD and
Applications to Embedding and Density
Results . . . . . . . . . . . . . . . . 3842--3918
Nicola Soave and
Tobias Weth The Unique Continuation Property of
Sublinear Equations . . . . . . . . . . 3919--3938
J. A. Barceló and
M. Folch-Gabayet and
S. Pérez-Esteva and
A. Ruiz and
M. C. Vilela Uniqueness for Inverse Elastic Medium
Problems . . . . . . . . . . . . . . . . 3939--3962
Lei Li and
Jian-Guo Liu Some Compactness Criteria for Weak
Solutions of Time Fractional PDEs . . . 3963--3995
Gero Friesecke and
Daniela Vögler Breaking the Curse of Dimension in
Multi-Marginal Kantorovich Optimal
Transport on Finite State Spaces . . . . 3996--4019
Nicolás García Trillos and
Daniel Sanz-Alonso Continuum Limits of Posteriors in Graph
Bayesian Inverse Problems . . . . . . . 4020--4040
Rinaldo M. Colombo and
Elena Rossi Nonlocal Conservation Laws in Bounded
Domains . . . . . . . . . . . . . . . . 4041--4065
Mircea Sofonea Convergence Results and Optimal Control
for a Class of Hemivariational
Inequalities . . . . . . . . . . . . . . 4066--4086
Tobias Black Global Very Weak Solutions to a
Chemotaxis-Fluid System with Nonlinear
Diffusion . . . . . . . . . . . . . . . 4087--4116
Giovanni Bellettini and
Shokhrukh Yu. Kholmatov Minimizing Movements for Mean Curvature
Flow of Partitions . . . . . . . . . . . 4117--4148
Ning Jiang and
Yanan Liu and
Teng-Fei Zhang Global Classical Solutions to a
Compressible Model for Micro-Macro
Polymeric Fluids Near Equilibrium . . . 4149--4179
Zili Chen and
Xiuting Li Asymptotic Growth of Support and Uniform
Decay of Moments for the Vlasov--Poisson
System . . . . . . . . . . . . . . . . . 4180--4202
Anne-Laure Dalibard and
Helge Dietert and
David Gérard-Varet and
Frédéric Marbach High Frequency Analysis of the Unsteady
Interactive Boundary Layer Model . . . . 4203--4245
Viorel Barbu and
Michael Röckner Probabilistic Representation for
Solutions to Nonlinear Fokker--Planck
Equations . . . . . . . . . . . . . . . 4246--4260
Xiangsheng Xu Existence Theorems for a Crystal Surface
Model Involving the $p$-Laplace Operator 4261--4281
Anupam Pal Choudhury and
Amru Hussein and
Patrick Tolksdorf Nematic Liquid Crystals in Lipschitz
Domains . . . . . . . . . . . . . . . . 4282--4310
Jonathan Ben-Artzi and
Simone Calogero and
Stephen Pankavich Arbitrarily Large Solutions of the
Vlasov--Poisson System . . . . . . . . . 4311--4326
Antoine Laurain Analyzing Smooth and Singular Domain
Perturbations in Level Set Methods . . . 4327--4370
Inwon Kim and
Yuming Paul Zhang Regularity Properties of Degenerate
Diffusion Equations with Drifts . . . . 4371--4406
Ernst Kuwert and
Yuxiang Li Asymptotics of Willmore Minimizers with
Prescribed Small Isoperimetric Ratio . . 4407--4425
Manuel Friedrich and
Martin Kruzík On the Passage from Nonlinear to
Linearized Viscoelasticity . . . . . . . 4426--4456
Matias G. Delgadino Convergence of a One-Dimensional
Cahn--Hilliard Equation with Degenerate
Mobility . . . . . . . . . . . . . . . . 4457--4482
Thomas Beck Uniform Level Set Estimates for Ground
State Eigenfunctions . . . . . . . . . . 4483--4502
Tong Yang and
Hongjun Yu Global Solution for the Spatially
Inhomogeneous Non-cutoff Kac Equation 4503--4562
Aric Wheeler and
Mark Williams Geometric Optics for Rayleigh Wavetrains
in $d$-Dimensional . . . . . . . . . . . 4563--4615
Thomas C. Hangelbroek On a Polyharmonic Dirichlet Problem and
Boundary Effects in Surface Spline
Approximation . . . . . . . . . . . . . 4616--4654
Vincent Giovangigli and
Zai-Bao Yang and
Wen-An Yong Relaxation Limit and Initial-Layers for
a Class of Hyperbolic-Parabolic Systems 4655--4697
Julien Guillod and
Guido Schneider and
Peter Wittwer and
Dominik Zimmermann Nonlinear Stability at the Eckhaus
Boundary . . . . . . . . . . . . . . . . 4699--4720
Xiufang Cui and
Silu Yin Global Existence of Inhomogeneous
Incompressible Isotropic Elastodynamics
in Three Dimensions . . . . . . . . . . 4721--4751
Tino Franz and
Holger Wendland Convergence of the Smoothed Particle
Hydrodynamics Method for a Specific
Barotropic Fluid Flow: Constructive
Kernel Theory . . . . . . . . . . . . . 4752--4784
Theodore D. Drivas and
Huy Q. Nguyen Onsager's Conjecture and Anomalous
Dissipation on Domains with Boundary . . 4785--4811
Mayte Pérez-Llanos and
Juan P. Pinasco and
Nicolas Saintier and
Analía Silva Opinion Formation Models with
Heterogeneous Persuasion and Zealotry 4812--4837
Yuan Chen and
Soojung Kim and
Yong Yu Freedericksz Transition in Nematic
Liquid Crystal Flows in Dimension Two 4838--4860
Nina Aguillon and
Emmanuel Audusse and
Edwige Godlewski and
Martin Parisot Analysis of the Riemann Problem for a
Shallow Water Model with Two Velocities 4861--4888
Carlos J. GarcÍa-Cervera and
Tiziana Giorgi and
Sookyung Joo and
Xin Yang Lu Switching Mechanism in the $
B_{1RevTilted} $ Phase of Bent-Core
Liquid Crystals . . . . . . . . . . . . 4889--4913
Benjamin Palacios and
Gunther Uhlmann and
Yiran Wang Quantitative Analysis of Metal Artifacts
in X-ray Tomography . . . . . . . . . . 4914--4936
Lin-an Li and
Yi Wang Stability of Planar Rarefaction Wave to
Two-Dimensional Compressible
Navier--Stokes Equations . . . . . . . . 4937--4963
D. Harutyunyan On the Korn Interpolation and Second
Inequalities in Thin Domains . . . . . . 4964--4982
Daoyuan Fang and
Ting Zhang and
Ruizhao Zi Global Solutions to the Isentropic
Compressible Navier--Stokes Equations
with a Class of Large Initial Data . . . 4983--5026
Denis Bonheure and
Jean-Baptiste Casteras and
Ederson Moreira dos Santos and
Robson Nascimento Orbitally Stable Standing Waves of a
Mixed Dispersion Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . 5027--5071
Chao-Nien Chen and
Yung-Sze Choi and
Yeyao Hu and
Xiaofeng Ren Higher Dimensional Bubble Profiles in a
Sharp Interface Limit of the
FitzHugh--Nagumo System . . . . . . . . 5072--5095
Masahiro Suzuki and
Atusi Tani Time-Local Solvability of the
Degond--Lucquin-Desreux--Morrow Model
for Gas Discharge . . . . . . . . . . . 5096--5118
Scott A. McKinley and
Hung D. Nguyen Anomalous Diffusion and the Generalized
Langevin Equation . . . . . . . . . . . 5119--5160
J. S. Ben-Benjamin and
L. Cohen and
N. C. Dias and
P. Loughlin and
J. N. Prata What is the Wigner Function Closest to a
Given Square Integrable Function? . . . 5161--5197
Nicolas Dirr and
Federica Dragoni and
Paola Mannucci and
Claudio Marchi Stochastic Homogenization for
Functionals with Anisotropic Rescaling
and Noncoercive Hamilton--Jacobi
Equations . . . . . . . . . . . . . . . 5198--5242
Qingquan Deng and
Avy Soffer and
Xiaohua Yao Soliton-Potential Interactions for
Nonlinear Schrödinger Equation in $
\mathbb {R}^3 $ . . . . . . . . . . . . 5243--5292
Yu Gu and
Tomasz Komorowski and
Lenya Ryzhik Fluctuations of Random Semilinear
Advection Equations . . . . . . . . . . 5293--5336
B. Bogosel and
A. Henrot and
I. Lucardesi Minimization of the Eigenvalues of the
Dirichlet--Laplacian with a Diameter
Constraint . . . . . . . . . . . . . . . 5337--5361
Laurent Michel and
Maciej Zworski A Semiclassical Approach to the
Kramers--Smoluchowski Equation . . . . . 5362--5379
Neng Zhu and
Zhengrong Liu and
Vincent R. Martinez and
Kun Zhao Global Cauchy Problem of a System of
Parabolic Conservation Laws Arising From
a Keller--Segel Type Chemotaxis Model 5380--5425
M. Aza\"\iez and
F. Ben Belgacem and
J. Casado-Díaz and
T. Chacón Rebollo and
F. Murat A New Algorithm of Proper Generalized
Decomposition for Parametric Symmetric
Elliptic Problems . . . . . . . . . . . 5426--5445
Richard M. Höfer The Inertialess Limit of Particle
Sedimentation Modeled by the
Vlasov--Stokes Equations . . . . . . . . 5446--5476
Walter Craig and
Maxime Gazeau and
Christophe Lacave and
Catherine Sulem Bloch Theory and Spectral Gaps for
Linearized Water Waves . . . . . . . . . 5477--5501
Megan Griffin-Pickering and
Mikaela Iacobelli A Mean Field Approach to the
Quasi-Neutral Limit for the
Vlasov--Poisson Equation . . . . . . . . 5502--5536
Susely Figueroa Iglesias and
Sepideh Mirrahimi Long Time Evolutionary Dynamics of
Phenotypically Structured Populations in
Time-Periodic Environments . . . . . . . 5537--5568
A. Ghazaryan and
Y. Latushkin and
X. Yang Stability of a Planar Front in a Class
of Reaction-Diffusion Systems . . . . . 5569--5615
Cristóbal J. Meroño Fixed Angle Scattering: Recovery of
Singularities and Its Limitations . . . 5616--5636
Yong Wang Global Well-Posedness of the
Relativistic Boltzmann Equation . . . . 5637--5694
J. A. Carrillo and
S. Fagioli and
F. Santambrogio and
M. Schmidtchen Splitting Schemes and Segregation in
Reaction Cross-Diffusion Systems . . . . 5695--5718
King-Yeung Lam and
Xueying Wang and
Tianran Zhang Traveling Waves for a Class of Diffusive
Disease-Transmission Models with Network
Structures . . . . . . . . . . . . . . . 5719--5748
Feng Xie and
Tong Yang Global-in-Time Stability of $2$D MHD
Boundary Layer in the Prandtl--Hartmann
Regime . . . . . . . . . . . . . . . . . 5749--5760
Jörg-Uwe Löbus Boundedness of the Stationary Solution
to the Boltzmann Equation with Spatial
Smearing, Diffusive Boundary Conditions,
and Lions' Collision Kernel . . . . . . 5761--5782
Andrea Sacchetti Nonlinear Stark--Wannier Equation . . . 5783--5810
Tomasz D\kebiec and
Marie Doumic and
Piotr Gwiazda and
Emil Wiedemann Relative Entropy Method for Measure
Solutions of the Growth-Fragmentation
Equation . . . . . . . . . . . . . . . . 5811--5824
Mikhail Cherdantsev and
Kirill Cherednichenko and
Shane Cooper Extreme Localization of Eigenfunctions
to One-Dimensional High-Contrast
Periodic Problems with a Defect . . . . 5825--5856
Hans Knüpfer and
Florian Nolte Optimal Shape of Isolated Ferromagnetic
Domains . . . . . . . . . . . . . . . . 5857--5886
Anne De Bouard and
Arnaud Debussche and
Reika Fukuizumi Long Time Behavior of Gross--Pitaevskii
Equation at Positive Temperature . . . . 5887--5920
C. Perrin and
M. Westdickenberg One-Dimensional Granular System with
Memory Effects . . . . . . . . . . . . . 5921--5946
Yongxin Chen and
Giovanni Conforti and
Tryphon T. Georgiou Measure-Valued Spline Curves: an Optimal
Transport Viewpoint . . . . . . . . . . 5947--5968
Rita Ferreira and
Diogo Gomes Existence of Weak Solutions to
Stationary Mean-Field Games through
Variational Inequalities . . . . . . . . 5969--6006
Michael R. Novack Dimension Reduction for the Landau--de
Gennes Model: The Vanishing Nematic
Correlation Length Limit . . . . . . . . 6007--6048
Wladimir Neves and
Evgeniy Panov and
Jean Silva Strong Traces for Conservation Laws with
General Nonautonomous Flux . . . . . . . 6049--6081
C. Bandle and
D. D. Monticelli and
F. Punzo Reaction-Diffusion Problems on
Time-Dependent Riemannian Manifolds:
Stability of Periodic Solutions . . . . 6082--6099
Xin Liu A Model of Radiational Gaseous Stars . . 6100--6155
Hermano Frid and
Daniel R. Marroquin and
Ronghua Pan Modeling Aurora Type Phenomena by Short
Wave-Long Wave Interactions in
Multidimensional Large
Magnetohydrodynamic Flows . . . . . . . 6156--6195
Peter Constantin and
Mihaela Ignatova and
Huy Q. Nguyen Inviscid Limit for SQG in Bounded
Domains . . . . . . . . . . . . . . . . 6196--6207
Alexander Kiselev and
Changhui Tan Global Regularity for $1$D Eulerian
Dynamics with Singular Interaction
Forces . . . . . . . . . . . . . . . . . 6208--6229
Venkateswaran P. Krishnan and
Rohit Kumar Mishra Microlocal Analysis of a Restricted Ray
Transform on Symmetric $m$-Tensor Fields
in $ \mathbb {R}^n$ . . . . . . . . . . 6230--6254
Eemeli Blåsten Nonradiating Sources and Transmission
Eigenfunctions Vanish at Corners and
Edges . . . . . . . . . . . . . . . . . 6255--6270
Alexander Keimer and
Lukas Pflug and
Michele Spinola Nonlocal Scalar Conservation Laws on
Bounded Domains and Applications in
Traffic Flow . . . . . . . . . . . . . . 6271--6306
Mauro Bonafini and
Giandomenico Orlandi and
Édouard Oudet Variational Approximation of Functionals
Defined on $1$-dimensional Connected
Sets: The Planar Case . . . . . . . . . 6307--6332
Serena Dipierro and
Alberto Farina and
Enrico Valdinoci Density Estimates for Degenerate
Double-Well Potentials . . . . . . . . . 6333--6347
Boya Liu Global Identifiability of Low Regularity
Fluid Parameters in Acoustic Tomography
of Moving Fluid . . . . . . . . . . . . 6348--6364
Jacob Bedrossian and
Siming He Erratum: Suppression of Blow-Up in
Patlak--Keller--Segel Via Shear Flows 6365--6372
Clarice Poon and
Gabriel Peyré Multidimensional Sparse Super-Resolution 1--44
Habib Ammari and
Hyundae Lee and
Hai Zhang Bloch Waves in Bubbly Crystal Near the
First Band Gap: a High-Frequency
Homogenization Approach . . . . . . . . 45--59
Huy Tuan Nguyen and
Vo Anh Khoa and
Van Au Vo Analysis of a Quasi-Reversibility Method
for a Terminal Value Quasi-Linear
Parabolic Problem with Measurements . . 60--85
James Scott and
Tadele Mengesha A Potential Space Estimate for Solutions
of Systems of Nonlocal Equations in
Peridynamics . . . . . . . . . . . . . . 86--109
Paolo Antonelli and
Jack Arbunich and
Christof Sparber Regularizing Nonlinear Schrödinger
Equations Through Partial Off-axis
Variations . . . . . . . . . . . . . . . 110--130
Jan Bouwe van den Berg and
J. F. Williams Rigorously Computing Symmetric
Stationary States of the Ohta--Kawasaki
Problem in Three Dimensions . . . . . . 131--158
Robert J. Berman and
Magnus Önnheim Propagation of Chaos for a Class of
First Order Models with Singular Mean
Field Interactions . . . . . . . . . . . 159--196
Xavier Claeys and
Ralf Hiptmair First-Kind Boundary Integral Equations
for the Hodge--Helmholtz Operator . . . 197--227
Wojciech S. Oza\'nski and
James C. Robinson Partial Regularity for a Surface Growth
Model . . . . . . . . . . . . . . . . . 228--255
Andrea K. Barreiro and
Jared C. Bronski and
Zoi Rapti Applications of a Class of Herglotz
Operator Pencils . . . . . . . . . . . . 256--275
Dmitry Golovaty and
Peter Sternberg and
Raghavendra Venkatraman A Ginzburg--Landau-Type Problem for
Highly Anisotropic Nematic Liquid
Crystals . . . . . . . . . . . . . . . . 276--320
Manjun Ma and
Chunhua Ou Linear and Nonlinear Speed Selection for
Mono-Stable Wave Propagations . . . . . 321--345
Joachim Crevat and
Grégory Faye and
Francis Filbet Rigorous Derivation of the Nonlocal
Reaction-Diffusion Fitzhugh--Nagumo
System . . . . . . . . . . . . . . . . . 346--373
Michiel Bertsch and
Lorenzo Giacomelli and
Alberto Tesei Measure-Valued Solutions to a Nonlinear
Fourth-Order Regularization of
Forward-Backward Parabolic Equations . . 374--402
Ning Jiang and
Yi-Long Luo On Well-Posedness of Ericksen--Leslie's
Hyperbolic Incompressible Liquid Crystal
Model . . . . . . . . . . . . . . . . . 403--434
Balázs Boros Existence of Positive Steady States for
Weakly Reversible Mass-Action Systems 435--449
Nacira Agram and
Achref Bachouch and
Bernt Òksendal and
Frank Proske Singular Control Optimal Stopping of
Memory Mean-Field Processes . . . . . . 450--468
Pedro Aceves-Sanchez and
Ludovic Cesbron Fractional Diffusion Limit for a
Fractional Vlasov--Fokker--Planck
Equation . . . . . . . . . . . . . . . . 469--488
Riccardo Scala and
Nicolas Van Goethem A Variational Approach to Single
Crystals with Dislocations . . . . . . . 489--531
Hao-Guang Li and
Chao-Jiang Xu Cauchy Problem for the Spatially
Homogeneous Landau Equation with Shubin
Class Initial Datum and Gelfand--Shilov
Smoothing Effect . . . . . . . . . . . . 532--564
Kotaro Hisa and
Kazuhiro Ishige Solvability of the Heat Equation with a
Nonlinear Boundary Condition . . . . . . 565--594
Lili Fan and
Lizhi Ruan and
Wei Xiang Asymptotic Stability of Rarefaction Wave
for the Inflow Problem Governed by the
One-Dimensional Radiative Euler
Equations . . . . . . . . . . . . . . . 595--625
Yavar Kian and
Eric Soccorsi Hölder Stably Determining the
Time-Dependent Electromagnetic Potential
of the Schrödinger Equation . . . . . . . 627--647
Jianfeng Lu and
Yulong Lu and
James Nolen Scaling Limit of the Stein Variational
Gradient Descent: The Mean Field Regime 648--671
Elisa Davoli and
Ulisse Stefanelli Dynamic Perfect Plasticity as Convex
Minimization . . . . . . . . . . . . . . 672--730
Antonino Morassi and
Edi Rosset and
Sergio Vessella Optimal Stability in the Identification
of a Rigid Inclusion in an Isotropic
Kirchhoff--Love Plate . . . . . . . . . 731--747
Xin Liu and
Yuan Yuan Local Existence and Uniqueness of Strong
Solutions to the Free Boundary Problem
of the Full Compressible Navier--Stokes
Equations in three dimensions . . . . . 748--789
David Krejcirík Complex Magnetic Fields: an Improved
Hardy--Laptev--Weidl Inequality and
Quasi-Self-Adjointness . . . . . . . . . 790--807
Charles Batty and
Lassi Paunonen and
David Seifert Optimal Energy Decay for the Wave-Heat
System on a Rectangular Domain . . . . . 808--819
Ryunosuke Mori Validity of Formal Asymptotic Expansions
for Singularly Perturbed
Competition-Diffusion Systems . . . . . 820--853
Fioralba Cakoni and
Houssem Haddar and
Armin Lechleiter On the Factorization Method for a Far
Field Inverse Scattering Problem in the
Time Domain . . . . . . . . . . . . . . 854--872
Yaniv Almog and
Leonid Berlyand and
Dmitry Golovaty and
Itai Shafrir Existence of Superconducting Solutions
for a Reduced Ginzburg--Landau Model in
the Presence of Strong Electric Currents 873--912
Marco Cirant and
Alessandro Goffi On the Existence and Uniqueness of
Solutions to Time-Dependent Fractional
MFG . . . . . . . . . . . . . . . . . . 913--954
Jian Song and
Xiaoming Song and
Qi Zhang Nonlinear Feynman--Kac formulas for
Stochastic Partial Differential
Equations with Space-Time Noise . . . . 955--990
Philippe Souplet A Simplified Approach to the Refined
Blowup Behavior for the Nonlinear Heat
Equation . . . . . . . . . . . . . . . . 991--1013
Chunpeng Wang and
Zhouping Xin On an Elliptic Free Boundary Problem and
Subsonic Jet Flows for a Given
Surrounding Pressure . . . . . . . . . . 1014--1045
William Borrelli and
Raffaele Carlone and
Lorenzo Tentarelli Nonlinear Dirac Equation on Graphs with
Localized Nonlinearities: Bound States
and Nonrelativistic Limit . . . . . . . 1046--1081
Stanis\law Migórski and
Mircea Sofonea and
Shengda Zeng Well-Posedness of History-Dependent
Sweeping Processes . . . . . . . . . . . 1082--1107
Julian Braun and
Maciej Buze and
Christoph Ortner The Effect of Crystal Symmetries on the
Locality of Screw Dislocation Cores . . 1108--1136
Federico Cornalba and
Tony Shardlow and
Johannes Zimmer A Regularized Dean--Kawasaki Model:
Derivation and Analysis . . . . . . . . 1137--1187
Anna Geyer and
D. Pelinovsky Linear Instability and Uniqueness of the
Peaked Periodic Wave in the Reduced
Ostrovsky Equation . . . . . . . . . . . 1188--1208
Justin Dekeyser Asymptotic of Steady Vortex Pair in the
Lake Equation . . . . . . . . . . . . . 1209--1237
T. Chang and
B. J. Jin and
A. Novotný Compressible Navier--Stokes System with
General Inflow--Outflow Boundary Data 1238--1278
Emmanuel Grenier and
Toan T. Nguyen Green Function of Orr--Sommerfeld
Equations Away from Critical Layers . . 1279--1296
Younghun Hong and
Changhun Yang Strong Convergence for Discrete
Nonlinear Schrödinger equations in the
Continuum Limit . . . . . . . . . . . . 1297--1320
Karsten Matthies and
Florian Theil Rescaled Objective Solutions of
Fokker--Planck and Boltzmann equations 1321--1348
Nikos Katzourakis An $ L^\infty $ Regularization Strategy
to the Inverse Source Identification
Problem for Elliptic Equations . . . . . 1349--1370
Arnaud Eychenne and
Nicolas Rougerie On the Stability of $2$D Dipolar
Bose--Einstein Condensates . . . . . . . 1371--1386
Peng-Fei Yao Linear Strain Tensors on Hyperbolic
Surfaces and Asymptotic Theories for
Thin Shells . . . . . . . . . . . . . . 1387--1435
Xinfu Chen and
Yuanwei Qi Traveling Wave to Non-KPP Isothermal
Diffusion Systems: Existence of Minimum
Speed and Sharp Bounds . . . . . . . . . 1436--1453
Joseph Thirouin About the Quadratic Szeg\Ho Hierarchy 1454--1495
Eduard Feireisl and
Christian Klingenberg and
Simon Markfelder On the Low Mach Number Limit for the
Compressible Euler System . . . . . . . 1496--1513
Jaeyoung Byeon and
Youngae Lee and
Zhi-Qiang Wang Formation of Radial Patterns via Mixed
Attractive and Repulsive Interactions
for Schrödinger Systems . . . . . . . . . 1514--1542
Anup Biswas and
József Lörinczi Maximum Principles and
Aleksandrov--Bakelman--Pucci Type
Estimates for NonLocal Schrödinger
Equations with Exterior Conditions . . . 1543--1581
Giusy Mazzone and
Jan Prüss and
Gieri Simonett On the Motion of a Fluid-Filled Rigid
Body with Navier Boundary Conditions . . 1582--1606
Joackim Bernier and
Erwan Faou Existence and Stability of Traveling
Waves for Discrete Nonlinear Schrödinger
Equations Over Long Times . . . . . . . 1607--1656
Sameer Iyer Steady Prandtl Layers Over a Moving
Boundary: Nonshear Euler Flows . . . . . 1657--1695
Xavier Pellet and
Lucia Scardia and
Caterina Ida Zeppieri Homogenization of High-contrast
Mumford--Shah Energies . . . . . . . . . 1696--1729
Myoungjean Bae and
Hyangdong Park Contact Discontinuities for
$2$-Dimensional Inviscid Compressible
Flows in Infinitely Long Nozzles . . . . 1730--1760
Franco Flandoli and
Dejun Luo Kolmogorov Equations Associated to the
Stochastic Two Dimensional Euler
Equations . . . . . . . . . . . . . . . 1761--1791
Hongjie Dong and
Tong Yang and
Mingying Zhong Exterior Problem of the Linear
Vlasov--Poisson--Boltzmann System . . . 1792--1823
Stanislav Molchanov and
Boris Vainberg Population Dynamics with Moderate Tails
of the Underlying Random Walk . . . . . 1824--1835
Qingshan Chen The Barotropic Quasi-Geostrophic
Equation under a Free Surface . . . . . 1836--1867
Matthias Ebenbeck and
Harald Garcke On a Cahn--Hilliard--Brinkman Model for
Tumor Growth and Its Singular Limits . . 1868--1912
Xin Liu and
Edriss S. Titi Global Existence of Weak Solutions to
the Compressible Primitive Equations of
Atmospheric Dynamics with Degenerate
Viscosities . . . . . . . . . . . . . . 1913--1964
Andrea Marchese and
Annalisa Massaccesi and
Riccardo Tione A Multimaterial Transport Problem and
its Convex Relaxation via Rectifiable
$G$-currents . . . . . . . . . . . . . . 1965--1998
Constantine M. Dafermos Uniqueness of Zero Relaxation Limit . . 1999--2018
Mladen Jurak and
Ivana Radisi\'c and
Ana Zgalji\'c Keko Two-phase Two-component Flow in Porous
Media in Low Solubility Regime . . . . . 2019--2052
Stanislav Kondratyev and
Dmitry Vorotnikov Spherical Hellinger--Kantorovich
Gradient Flows . . . . . . . . . . . . . 2053--2084
Dejan Slepcev and
Matthew Thorpe Analysis of $p$-Laplacian Regularization
in Semisupervised Learning . . . . . . . 2085--2120
Jiahui Zhu and
Zdzis\law Brze\'zniak and
Wei Liu Maximal Inequalities and Exponential
Estimates for Stochastic Convolutions
Driven by Lévy-type Processes in Banach
Spaces with Application to Stochastic
Quasi-Geostrophic Equations . . . . . . 2121--2167
Matthew R. I. Schrecker and
Simon Schulz Vanishing Viscosity Limit of the
Compressible Navier--Stokes Equations
with General Pressure Law . . . . . . . 2168--2205
Vittorio Coti Zelati and
Margherita Nolasco Ground State for the Relativistic One
Electron Atom in a Self-Generated
Electromagnetic Field . . . . . . . . . 2206--2230
Maximilian Thaller Existence of Static Solutions of the
Einstein--Vlasov--Maxwell System and the
Thin Shell Limit . . . . . . . . . . . . 2231--2260
Jérémie Bigot and
Elsa Cazelles and
Nicolas Papadakis Penalization of Barycenters in the
Wasserstein Space . . . . . . . . . . . 2261--2285
Gershon Wolansky Contact Angles of Liquid Drops Subjected
to a Rough Boundary . . . . . . . . . . 2286--2305
Zdzis\law Brze\'zniak and
Elzbieta Motyl Fractionally Dissipative Stochastic
Quasi-Geostrophic Type Equations on $
\mathbb {R}^d $ . . . . . . . . . . . . 2306--2358
Augusto Gerolin and
Anna Kausamo and
Tapio Rajala Nonexistence of Optimal Transport Maps
for the Multimarginal Repulsive Harmonic
Cost . . . . . . . . . . . . . . . . . . 2359--2371
Dian Hu and
Yongqian Zhang Global Conic Shock Wave for the Steady
Supersonic Flow Past a Curved Cone . . . 2372--2389
Hyeong-Ohk Bae and
Seung-Yeal Ha and
Jeongho Kim and
Dongnam Ko and
Sung-Ik Sohn Flocking Behaviors of a Cucker--Smale
Ensemble in a Cylindrical Domain . . . . 2390--2424
Anna Zhigun Generalized Global Supersolutions with
Mass Control for Systems with Taxis . . 2425--2443
Hongjie Dong and
Longjuan Xu Gradient Estimates for Divergence Form
Elliptic Systems Arising from Composite
Material . . . . . . . . . . . . . . . . 2444--2478
Harbir Antil and
Carlos N. Rautenberg Sobolev Spaces with Non-Muckenhoupt
Weights, Fractional Elliptic Operators,
and Applications . . . . . . . . . . . . 2479--2503
Ning Jiang and
Xu Zhang The Boltzmann Equation with Incoming
Boundary Condition: Global Solutions and
Navier--Stokes Limit . . . . . . . . . . 2504--2534
Andrea Giorgini and
Alain Miranville and
Roger Temam Uniqueness and Regularity for the
Navier--Stokes--Cahn--Hilliard System 2535--2574
Toan T. Nguyen and
Trinh T. Nguyen The Inviscid Limit of Navier--Stokes
Equations for Vortex-Wave Data on $
\mathbb {R}^2 $ . . . . . . . . . . . . 2575--2598
Heiner Olbermann On a $ \Gamma $-Limit of Willmore
Functionals with Additional Curvature
Penalization Term . . . . . . . . . . . 2599--2632
E. Baspinar and
G. Citti Uniqueness of Viscosity Mean Curvature
Flow Solution in Two Sub-Riemannian
Structures . . . . . . . . . . . . . . . 2633--2659
Young-Pil Choi and
Jan Haskovec Hydrodynamic Cucker--Smale Model with
Normalized Communication Weights and
Time Delay . . . . . . . . . . . . . . . 2660--2685
Matthew D. Novack On the Weak Solutions to the
Three-Dimensional Inviscid
Quasi-Geostrophic System . . . . . . . . 2686--2712
Mihai Bostan Asymptotic Behavior for the
Vlasov--Poisson Equations with Strong
External Magnetic Field. Straight
Magnetic Field Lines . . . . . . . . . . 2713--2747
Cheng-Jie Liu and
Feng Xie and
Tong Yang Justification of Prandtl Ansatz for MHD
Boundary Layer . . . . . . . . . . . . . 2748--2791
Tomasz Piasecki and
Yoshihiro Shibata and
Ewelina Zatorska On Strong Dynamics of Compressible
Two-Component Mixture Flow . . . . . . . 2793--2849
Uyen Le and
Dmitry E. Pelinovsky Convergence of Petviashvili's Method
near Periodic Waves in the Fractional
Korteweg--de Vries Equation . . . . . . 2850--2883
Gonzalo Galiano and
Julián Velasco Well-Posedness of a Cross-Diffusion
Population Model with Nonlocal Diffusion 2884--2902
Maria Colombo and
Simone Di Marino and
Federico Stra Continuity of Multimarginal Optimal
Transport with Repulsive Cost . . . . . 2903--2926
Changxing Miao and
Liutang Xue On the Regularity Issues of a Class of
Drift-Diffusion Equations with Nonlocal
Diffusion . . . . . . . . . . . . . . . 2927--2970
Zhouping Xin and
Qian Yuan and
Yuan Yuan Asymptotic Stability of Shock Waves and
Rarefaction Waves under Periodic
Perturbations for $1$-D Convex Scalar
Conservation Laws . . . . . . . . . . . 2971--2994
Bastian Harrach and
Valter Pohjola and
Mikko Salo Dimension Bounds in Monotonicity Methods
for the Helmholtz Equation . . . . . . . 2995--3019
Fabio Ancona and
Olivier Glass and
Khai T. Nguyen On Kolmogorov Entropy Compactness
Estimates for Scalar Conservation Laws
Without Uniform Convexity . . . . . . . 3020--3051
Denis Bonheure and
Filippo Gazzola and
Ederson Moreira Dos Santos Periodic Solutions and Torsional
Instability in a Nonlinear Nonlocal
Plate Equation . . . . . . . . . . . . . 3052--3091
Bastian Harrach and
Yi-Hsuan Lin Monotonicity-based Inversion of the
Fractional Schrödinger Equation I.
Positive Potentials . . . . . . . . . . 3092--3111
Graziano Guerra and
Wen Shen Vanishing Viscosity and Backward Euler
Approximations for Conservation Laws
with Discontinuous Flux . . . . . . . . 3112--3144
Richard Kollár and
Bernard Deconinck and
Olga Trichtchenko Direct Characterization of Spectral
Stability of Small-Amplitude Periodic
Waves in Scalar Hamiltonian Problems via
Dispersion Relation . . . . . . . . . . 3145--3169
Luis Almeida and
Yannick Privat and
Martin Strugarek and
Nicolas Vauchelet Optimal Releases for Population
Replacement Strategies: Application to
\bionameWolbachia . . . . . . . . . . . 3170--3194
Yunbai Cao Regularity of Boltzmann Equation with
External Fields in Convex Domains of
Diffuse Reflection . . . . . . . . . . . 3195--3275
Wentao Cao and
Feimin Huang and
Difan Yuan Global Entropy Solutions to the Gas Flow
in General Nozzle . . . . . . . . . . . 3276--3297
Mats Ehrnström and
Yuexun Wang Enhanced Existence Time of Solutions to
the Fractional Korteweg--de Vries
Equation . . . . . . . . . . . . . . . . 3298--3323
Mikel Agirre and
Luis Vega Some Lower Bounds for Solutions of
Schrödinger Evolutions . . . . . . . . . 3324--3336
Giovanni Gravina and
Giovanni Leoni Higher Order Gamma-limits for Singularly
Perturbed Dirichlet--Neumann Problems 3337--3372
Giovanni Di Fratta and
Valeriy Slastikov and
Arghir Zarnescu On a Sharp Poincaré-Type Inequality on
the $2$-Sphere and its Application in
Micromagnetics . . . . . . . . . . . . . 3373--3387
David Gontier and
Mathieu Lewin Spin Symmetry Breaking in the
Translation-Invariant Hartree--Fock
Electron Gas . . . . . . . . . . . . . . 3388--3423
Janusz Ginster Strain-Gradient Plasticity as the $
\Gamma $-Limit of a Nonlinear
Dislocation Energy with Mixed Growth . . 3424--3464
Jingzhi Li and
Hongyu Liu and
Shiqi Ma Determining a Random Schrödinger Equation
with Unknown Source and Potential . . . 3465--3491
Willem M. Schouten-Straatman and
Hermen Jan Hupkes Traveling Waves for Spatially Discrete
Systems of FitzHugh--Nagumo Type with
Periodic Coefficients . . . . . . . . . 3492--3532
Silvia Cingolani and
Louis Jeanjean Stationary Waves with Prescribed $ L^2
$-Norm for the Planar
Schrödinger--Poisson System . . . . . . . 3533--3568
Esther S. Daus and
Pina Milisi\'c and
Nicola Zamponi Analysis of a Degenerate and Singular
Volume-Filling Cross-Diffusion System
Modeling Biofilm Growth . . . . . . . . 3569--3605
Ryan Hynd and
Erik Lindgren Lipschitz Regularity for a Homogeneous
Doubly Nonlinear PDE . . . . . . . . . . 3606--3624
Alexandru Hening and
Edouard Strickler On a Predator-Prey System with Random
Switching that Never Converges to its
Equilibrium . . . . . . . . . . . . . . 3625--3640
M. Kassmann and
A. Piatnitski and
E. Zhizhina Homogenization of Lévy-type Operators
with Oscillating Coefficients . . . . . 3641--3665
Jinkai Li Global Well-Posedness of the
One-Dimensional Compressible
Navier--Stokes Equations with Constant
Heat Conductivity and Nonnegative
Density . . . . . . . . . . . . . . . . 3666--3693
Helge Holden and
Nils Henrik Risebro Models for Dense Multilane Vehicular
Traffic . . . . . . . . . . . . . . . . 3694--3713
Leonid Chaichenets and
Dirk Hundertmark and
Peer Kunstmann and
Nikolaos Pattakos Knocking Out Teeth in One-Dimensional
Periodic Nonlinear Schrödinger Equation 3714--3749
Hongkai Zhao and
Yimin Zhong Instability of an Inverse Problem for
the Stationary Radiative Transport Near
the Diffusion Limit . . . . . . . . . . 3750--3768
Ryan Hynd Lagrangian Coordinates for the Sticky
Particle System . . . . . . . . . . . . 3769--3795
John D. Pinezich Propagation of Singularities in
Nonconvex Hamilton--Jacobi Problems:
Local Structure in Two Dimensions . . . 3796--3818
Zili Chen and
Xiuxia Yin The Kinetic Cucker--Smale Model:
Well-Posedness and Asymptotic Behavior 3819--3853
David Borthwick and
Roland Donninger and
Enno Lenzmann and
Jeremy L. Marzuola Existence and Stability of Schrödinger
Solitons on Noncompact Manifolds . . . . 3854--3901
Patrick W. Dondl and
Matteo Novaga and
Benedikt Wirth and
Stephan Wojtowytsch A Phase-field Approximation of the
Perimeter under a Connectedness
Constraint . . . . . . . . . . . . . . . 3902--3920
Irene M. Gamba and
Natasa Pavlovi\'c and
Maja Taskovi\'c On Pointwise Exponentially Weighted
Estimates for the Boltzmann Equation . . 3921--3955
Silvio Fanzon and
Mariapia Palombaro and
Marcello Ponsiglione Derivation of Linearized Polycrystals
from a Two-Dimensional System of Edge
Dislocations . . . . . . . . . . . . . . 3956--3981
Marcelo M. Disconzi and
Igor Kukavica and
Amjad Tuffaha A Lagrangian Interior Regularity Result
for the Incompressible Free Boundary
Euler Equation with Surface Tension . . 3982--4022
Grace Liu Modified Scattering for the Cubic
Schrödinger Equation Small Data Solution
on Product Space . . . . . . . . . . . . 4023--4073
Hung Le On the Existence and Instability of
Solitary Water Waves with a Finite
Dipole . . . . . . . . . . . . . . . . . 4074--4104
Olivier Menoukeu-Pamen and
Ludovic Tangpi Strong Solutions of Some One-dimensional
SDEs with Random and Unbounded Drifts 4105--4141
Hoai-Minh Nguyen and
Loc X. Tran Approximate Cloaking for Time-dependent
Maxwell Equations via Transformation
Optics . . . . . . . . . . . . . . . . . 4142--4171
Ricardo Grande Space-Time Fractional Nonlinear
Schrödinger Equation . . . . . . . . . . 4172--4212
Piermarco Cannarsa and
Wei Cheng and
Marco Mazzola and
Kaizhi Wang Global Generalized Characteristics for
the Dirichlet Problem for
Hamilton--Jacobi Equations at a
Supercritical Energy Level . . . . . . . 4213--4244
Ricardo H. Nochetto and
Konstantina Trivisa and
Franziska Weber On the Dynamics of Ferrofluids: Global
Weak Solutions to the Rosensweig System
and Rigorous Convergence to Equilibrium 4245--4286
Andreas Gastel Regularity Issues for Cosserat Continua
and $p$-Harmonic Maps . . . . . . . . . 4287--4310
Scipio Cuccagna and
Masaya Maeda On Stability of Small Solitons of the
$1$-D NLS with a Trapping Delta
Potential . . . . . . . . . . . . . . . 4311--4331
Gero Friesecke A Simple Counterexample to the Monge
Ansatz in Multimarginal Optimal
Transport, Convex Geometry of the Set of
Kantorovich Plans, and the
Frenkel--Kontorova Model . . . . . . . . 4332--4355
Giovanni S. Alberti and
Francesca Bartolucci and
Filippo De Mari and
Ernesto De Vito Unitarization and Inversion Formulae for
the Radon Transform Between Dual Pairs 4356--4381
Hanna Demchenko and
Andrii Anikushyn and
Michael Pokojovy On a Kelvin--Voigt Viscoelastic Wave
Equation with Strong Delay . . . . . . . 4382--4412
Alexander Fedotov and
Frédéric Klopp The Complex WKB Method for Difference
Equations and Airy Functions . . . . . . 4413--4447
Junshan Lin and
Hai Zhang Mathematical Analysis of Surface Plasmon
Resonance by a Nano-Gap in the Plasmonic
Metal . . . . . . . . . . . . . . . . . 4448--4489
Andres Contreras and
Guanying Peng First Critical Field of Highly
Anisotropic Three-Dimensional
Superconductors via a Vortex Density
Model . . . . . . . . . . . . . . . . . 4490--4519
Michele O. Alves and
Eduardo H. Gomes Tavares and
Marcio A. Jorge Silva and
José H. Rodrigues On Modeling and Uniform Stability of a
Partially Dissipative Viscoelastic
Timoshenko System . . . . . . . . . . . 4520--4543
Jonathan Hickman and
Felipe Linares and
Oscar G. Riaño and
Keith M. Rogers and
James Wright On a Higher Dimensional Version of the
Benjamin--Ono Equation . . . . . . . . . 4544--4569
Jianliang Li and
Peijun Li Inverse Elastic Scattering for a Random
Source . . . . . . . . . . . . . . . . . 4570--4603
Jie Jiang Eventual Smoothness and Exponential
Stabilization of Global Weak Solutions
to Some Chemotaxis Systems . . . . . . . 4604--4644
Felix Otto and
Sebastian Scholtes and
Maria G. Westdickenberg Optimal $ L^1 $-type Relaxation Rates
for the Cahn--Hilliard Equation on the
Line . . . . . . . . . . . . . . . . . . 4645--4682
Katherine Zhiyuan Zhang Linear Stability Analysis of the
Relativistic Vlasov--Maxwell System in
an Axisymmetric Domain . . . . . . . . . 4683--4723
Rui Peng and
Guanghui Zhang and
Maolin Zhou Asymptotic Behavior of the Principal
Eigenvalue of a Linear Second Order
Elliptic Operator with Small/Large
Diffusion Coefficient . . . . . . . . . 4724--4753
Pascal Mindt and
Jens Lang and
Pia Domschke Entropy-Preserving Coupling of
Hierarchical Gas Models . . . . . . . . 4754--4775
Mehdi Badra and
Takéo Takahashi Gevrey Regularity for a System Coupling
the Navier--Stokes System with a Beam
Equation . . . . . . . . . . . . . . . . 4776--4814
Logan F. Stokols Hölder Continuity for a Family of
Nonlocal Hypoelliptic Kinetic Equations 4815--4847
Marco Cicalese and
Marwin Forster and
Gianluca Orlando Variational Analysis of a
Two-Dimensional Frustrated Spin System:
Emergence and Rigidity of Chirality
Transitions . . . . . . . . . . . . . . 4848--4893
Antoine Remond-Tiedrez and
Ian Tice The Viscous Surface Wave Problem with
Generalized Surface Energies . . . . . . 4894--4952
Ali Feizmohammadi and
Yavar Kian Recovery of Nonsmooth Coefficients
Appearing in Anisotropic Wave Equations 4953--4976
Chunpeng Wang A Free Boundary Problem of a Degenerate
Elliptic Equation and Subsonic-Sonic
Flows with General Sonic Curves . . . . 4977--5010
Vito Crismale On the Approximation of SBD Functions
and Some Applications . . . . . . . . . 5011--5048
Masato Kimura and
Patrick van Meurs and
Zhenxing Yang Particle Dynamics Subject to
Impenetrable Boundaries: Existence and
Uniqueness of Mild Solutions . . . . . . 5049--5076
Yi Du and
Wang Yang and
Yi Zhou On the Exponential Stability of a
Stratified Flow to the $2$D Ideal MHD
Equations with Damping . . . . . . . . . 5077--5102
Yangyang Qiao and
Huanyao Wen and
Steinar Evje Viscous Two-Phase Flow in Porous Media
Driven by Source Terms: Analysis and
Numerics . . . . . . . . . . . . . . . . 5103--5140
M. Sprengel and
G. Ciaramella and
A. Borz\`\i Erratum: A Theoretical Investigation of
Time-dependent Kohn--Sham Equations . . 1006--1008
Marcel Braukhoff and
Xiuqing Chen and
Ansgar Jüngel Corrigendum: Cross Diffusion Preventing
Blow-Up in the Two-Dimensional
Keller--Segel Model . . . . . . . . . . 2198--2200