SIAM Journal on Mathematical Analysis

Article	Citations
Deep Network Approximation for Smooth Functions	54
Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions	49
Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems	47
Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation	35
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations	29
Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations	23
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System	22
An Elliptic Boundary Value Problem with Fractional Nonlinearity	22
Propagation Dynamics for Time-Periodic and Partially Degenerate Reaction-Diffusion Systems	22
Convergence of Large Population Games to Mean Field Games with Interaction Through the Controls	20
Finite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability Measures	19
Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation	19
Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems	19
Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection	18
Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations	17
Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment	16
Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations	16
On Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems	16
Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs	16
Multilayered Poroelasticity Interacting with Stokes Flow	15
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions	15
Stabilizing Phenomenon for 2D Anisotropic Magnetohydrodynamic System near a Background Magnetic Field	15
Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$	14
Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis	14
Smooth Dynamics of Weakly Damped Lamé Systems with Delay	14

Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle	14
Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation	14
Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting	14
Reconstruction of the Collision Kernel in the Nonlinear Boltzmann Equation	13
Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem	13
Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces	13
Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System	13
On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System	13
Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue	12
Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach	12
Shock Formation of the Burgers--Hilbert Equation	12
Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary	12
Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models	12
Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations	12
Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors	11
From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models	11
Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation	11
Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$	11
Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport	11
Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models	11
Exact Number of Positive Solutions for the Kirchhoff Equation	11
Linear Schrödinger Equation with an Almost Periodic Potential	11
Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption	11
Eulerian Dynamics in Multidimensions with Radial Symmetry	11
Multipole Vortex Patch Equilibria for Active Scalar Equations	10
Elliptic Equations with Degenerate Weights	10
Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space	10
Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control	10
On Global-in-Time Weak Solutions to a Two-Dimensional Full Compressible NonResistive MHD System	10
Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag	10
Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves	10
On the Discreteness of Transmission Eigenvalues for the Maxwell Equations	9
Existence and Incompressible Limit of a Tissue Growth Model with Autophagy	9
Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold	9
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise	9
Spatial Stationarity, Ergodicity, and CLT for Parabolic Anderson Model with Delta Initial Condition in Dimension $d\geq 1$	9
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category	9
Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs	9
Existence and NonExistence for the Collision-Induced Breakage Equation	9
Zero-Inertia Limit: From Particle Swarm Optimization to Consensus-Based Optimization	9
Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum	9
Quantitative Stability of Regularized Optimal Transport and Convergence of Sinkhorn's Algorithm	9
Normalized Solutions for Schrödinger Equations with Critical Exponential Growth in \(\boldsymbol{\mathbb{R}^2}\)	9
Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains	9
Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials	9
Sonic-supersonic Solutions to a Mixed-type Boundary Value Problem for the Two-Dimensional Full Euler Equations	9
Weak-Strong Uniqueness for Maxwell--Stefan Systems	9
Loss of Double-Integral Character During Relaxation	8
Rough Center Manifolds	8
Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems	8

Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems	8
On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium	8
Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$	8
Three-Dimensional Global Supersonic Euler Flows in the Infinitely Long Divergent Nozzles	8
The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability	8
Nield--Kuznetsov Functions and Laplace Transforms of Parabolic Cylinder Functions	8
Fast Non-mean-field Networks: Uniform in Time Averaging	8
Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$	8
Periodic Solutions to a Perturbed Relativistic Kepler Problem	8
Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection	8
Monotone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise	8
Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons	8
Asymptotics for Semidiscrete Entropic Optimal Transport	8
Venttsel Boundary Value Problems with Discontinuous Data	8
A New Result for Global Solvability of a Two Species Cancer Invasion Haptotaxis Model with Tissue Remodeling	8
Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$	8
Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities	7
Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis	7
Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval	7
Lower Bound on Quantum Tunneling for Strong Magnetic Fields	7
Velocity Averaging and Hölder Regularity for Kinetic Fokker--Planck Equations with General Transport Operators and Rough Coefficients	7
Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials	7
Stability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows Past Lipschitz Perturbed Cones	7
Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries	7
Higher Order Analysis on the Existence of Periodic Solutions in Continuous Differential Equations via Degree Theory	7
Convergence to Periodic Probability Solutions in Fokker--Planck Equations	7
Emergence of Time-Dependent Point Interactions in Polaron Models	7
The Wave Breaking for Whitham-Type Equations Revisited	7
Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity	7
On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation	7
Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations	7
A New Approach to Space-Time Boundary Integral Equations for the Wave Equation	6
A Nonexpanding Transport Distance for Some Structured Equations	6
On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator	6
Lamination Convex Hull of Stationary Incompressible Porous Media Equations	6
Microscopic Validation of a Variational Model of Epitaxially Strained Crystalline Films	6
Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data	6
High Order Homogenization of the Stokes System in a Periodic Porous Medium	6
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT	6
Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains	6
Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation	6
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy	6
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary	6
Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds	6
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements	6
Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves	6
NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian	6
Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations	6
On the Evolution of Slow Dispersal in MultiSpecies Communities	6
Multi-Marginal Optimal Transportation Problem for Cyclic Costs	6
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics	6
Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem	6
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in \({\mathbb {R}}^n\): (II) Overdamping Case	6
The Bilaplacian with Robin Boundary Conditions	6
Inertial Manifolds via Spatial Averaging Revisited	6
The Complex-Scaled Half-Space Matching Method	6
Lipschitz Regularity of Graph Laplacians on Random Data Clouds	6
The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1	6
Ginzburg--Landau Spiral Waves in Circular and Spherical Geometries	6
Exact Large Time Behavior of Spherically Symmetric Plasmas	6
Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson Equation	6
Feynman--Kac Transform for Anomalous Processes	6
Plasma Echoes Near Stable Penrose Data	6
Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form	6
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients	6
Verification of Prandtl Boundary Layer Ansatz for Steady Electrically Conducting Fluids with a Moving Physical Boundary	5
Analysis of the Rolling Carpet Strategy to Eradicate an Invasive Species	5
Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number	5
Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD	5
Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map	5
Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions	5
Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative	5
Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data	5
Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier--Stokes Equations	5
A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension	5
On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions	5
Stable Determination of a Rigid Scatterer in Elastodynamics	5
Variational Source Conditions in $L^p$-spaces	5
Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law	5
Gamma-Limit of the Onsager--Machlup Functional on the Space of Curves	5

Optimality of Increasing Stability for an Inverse Boundary Value Problem	5
Two-Dimensional Point Vortex Dynamics in Bounded Domains: Global Existence for Almost Every Initial Data	5
Global Existence Analysis of Energy-Reaction-Diffusion Systems	5
Random Finite-Difference Discretizations of the Ambrosio--Tortorelli Functional with Optimal Mesh-Size	5
Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System	5
On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion	5
Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System	5
NonUnique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in Space	5
Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations	5
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers	5
Quantitative Aspects of the Rigidity of Branching Microstructures in Shape Memory Alloys via H-Measures	5
Derivation of Linear Elasticity for a General Class of Atomistic Energies	5
Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach	5
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping	5
Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number \(\boldsymbol{\gamma}^{\boldsymbol{2}} \boldsymbol{\gt} \frac{\boldsymbol 1}{\boldsymbol 4}\)	5
On the Hydrostatic Approximation of the MHD Equations in a Thin Strip	5
Maximization of the Steklov Eigenvalues With a Diameter Constraint	5
A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential	5
On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response	5
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference-Delay Equations	5
Harnack Inequalities and Hölder Estimates for Master Equations	5
Pulse Replication and Accumulation of Eigenvalues	5
Hypocoercivity in Phi-Entropy for the Linear Relaxation Boltzmann Equation on the Torus	5
Homogenization of Quasi-Crystalline Functionals via Two-Scale-Cut-and-Project Convergence	5
Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°	4
Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach	4
On the Stabilizing Effect of Swimming in an Active Suspension	4
Global Solutions of the Nernst--Planck--Euler Equations	4
Classification of Solutions to Mixed Order Elliptic System with General Nonlinearity	4
On the Existence of Strong Solutions to the Cahn--Hilliard--Darcy System with Mass Source	4
Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials	4
Existence of Solutions to a Slightly Supercritical Pure Neumann Problem	4
The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach	4
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach	4
The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model	4
Green's Function for Nondivergence Elliptic Operators in Two Dimensions	4
Global Strong and Weak Solutions to the Initial-Boundary-Value Problem of two-dimensional Compressible MHD System with Large Initial Data and Vacuum	4
Enhanced Dissipation and Transition Threshold for the Poiseuille Flow in a Periodic Strip	4
Homogenization of Norton--Hoff Fibered Composites with High Viscosity Contrast	4
Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients	4
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency	4
Metric Entropy for Functions of Bounded Total Generalized Variation	4
Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential	4
On the Ill-Posedness of the Triple Deck Model	4
Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data	4
Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations	4
Lipschitz Stability Estimate and Uniqueness in the Retrospective Analysis for the Mean Field Games System via Two Carleman Estimates	4
Global Solvability and Stability of an Alarm-Taxis System	4
Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem	4
Generalized Adler--Moser Polynomials and Multiple Vortex Rings for the Gross--Pitaevskii Equation	4
Non-Uniqueness Theory in Sampled STFT Phase Retrieval	4
Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction	4
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions	4
Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains	4
$L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping	4
On a Viscoelastoplastic Porous Medium Problem with Nonlinear Interaction	4
Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method	4
Quantitative Homogenization for the Case of an Interface Between Two Heterogeneous Media	4
$\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics	4
Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System	4
Inverse Boundary Problem for the Two Photon Absorption Transport Equation	4
Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth	4
Damping of Kinetic Transport Equation with Diffuse Boundary Condition	4
An Inverse Boundary Value Problem Arising in Nonlinear Acoustics	4
Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media	4
Vanishing Capillarity Limit of the Navier--Stokes--Korteweg System in One Dimension with Degenerate Viscosity Coefficient and Discontinuous Initial Density	4
Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization	4
Localized Quantitative Estimates and Potential Blow-Up Rates for the Navier–Stokes Equations	4
Effective Gaps in Continuous Floquet Hamiltonians	4
Two-Layer Neural Networks with Values in a Banach Space	4
Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation	4
Generalized Maslov Indices for Non-Hamiltonian Systems	4
Symmetry of Periodic Traveling Waves for Nonlocal Dispersive Equations	3
On the Motion of Curved Dislocations in Three Dimensions: Simplified Linearized Elasticity	3
Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic Closure	3
Propagation of Smallness in Elliptic Periodic Homogenization	3
Vanishing Shear Viscosity Limit for the Navier–Stokes Equations with Cylindrical Symmetry: Boundary Layer and Optimal Convergence Rate	3
Inverse Elastic Scattering for a Random Potential	3
Longer Lifespan for Many Solutions of the Kirchhoff Equation	3
Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation	3
Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces	3
Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies	3
Linear Stability Analysis for a Free Boundary Problem Modeling Multilayer Tumor Growth with Time Delay	3
The Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial Data	3
Existence and Hydrodynamic Limit for a Paveri-Fontana Type Kinetic Traffic Model	3
Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential	3
On the Breakdown of Solutions to the Incompressible Euler Equations with Free Surface Boundary	3
On a Fractional Version of a Murat Compactness Result and Applications	3
Deterministic Mean Field Games with Control on the Acceleration and State Constraints	3
Hydrodynamic Limit of the Boltzmann Equation to the Planar Rarefaction Wave in Three Dimensional Space	3
Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile	3
Regularity of Non-cutoff Boltzmann Equation with Hard Potential	3
A McKean--Vlasov SDE and Particle System with Interaction from Reflecting Boundaries	3
Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition	3
Stability for a Formally Determined Inverse Problem for a Hyperbolic PDE with Space and Time Dependent Coefficients	3