SIAM Journal on Mathematical Analysis

Article	Citations
Deep Network Approximation for Smooth Functions	46
Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems	46
Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions	37
Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation	26
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations	24
Propagation Dynamics for Time-Periodic and Partially Degenerate Reaction-Diffusion Systems	20
Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations	20
An Elliptic Boundary Value Problem with Fractional Nonlinearity	19
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System	18
On Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems	16
Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations	16
Convergence of Large Population Games to Mean Field Games with Interaction Through the Controls	16
Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems	15
Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation	15
Finite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability Measures	14
Stabilizing Phenomenon for 2D Anisotropic Magnetohydrodynamic System near a Background Magnetic Field	14
Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting	14
Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment	14
Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection	13
Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem	13
Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach	12
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions	12
Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$	11
Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue	11
Smooth Dynamics of Weakly Damped Lamé Systems with Delay	11

Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces	11
Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation	11
Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag	10
Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models	10
Eulerian Dynamics in Multidimensions with Radial Symmetry	10
Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport	10
Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models	10
From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models	10
Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle	10
Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System	10
Reconstruction of the Collision Kernel in the Nonlinear Boltzmann Equation	10
Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis	10
Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary	10
Multilayered Poroelasticity Interacting with Stokes Flow	9
Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves	9
On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System	9
Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors	9
On Global-in-Time Weak Solutions to a Two-Dimensional Full Compressible NonResistive MHD System	9
Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation	9
Spatial Stationarity, Ergodicity, and CLT for Parabolic Anderson Model with Delta Initial Condition in Dimension $d\geq 1$	9
Elliptic Equations with Degenerate Weights	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
Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$	8
Three-Dimensional Global Supersonic Euler Flows in the Infinitely Long Divergent Nozzles	8
Sonic-supersonic Solutions to a Mixed-type Boundary Value Problem for the Two-Dimensional Full Euler Equations	8
Quantitative Stability of Regularized Optimal Transport and Convergence of Sinkhorn's Algorithm	8
Nield--Kuznetsov Functions and Laplace Transforms of Parabolic Cylinder Functions	8
On the Discreteness of Transmission Eigenvalues for the Maxwell Equations	8
A New Result for Global Solvability of a Two Species Cancer Invasion Haptotaxis Model with Tissue Remodeling	8
Shock Formation of the Burgers--Hilbert Equation	8
Exact Number of Positive Solutions for the Kirchhoff Equation	8
Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum	8
Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations	8
Asymptotics for Semidiscrete Entropic Optimal Transport	8
Fast Non-mean-field Networks: Uniform in Time Averaging	8
Linear Schrödinger Equation with an Almost Periodic Potential	8
Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs	8
Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption	8
Existence and Incompressible Limit of a Tissue Growth Model with Autophagy	7
Velocity Averaging and Hölder Regularity for Kinetic Fokker--Planck Equations with General Transport Operators and Rough Coefficients	7
Loss of Double-Integral Character During Relaxation	7
Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations	7
Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$	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
Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$	7
Convergence to Periodic Probability Solutions in Fokker--Planck Equations	7
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise	7
Emergence of Time-Dependent Point Interactions in Polaron Models	7
Higher Order Analysis on the Existence of Periodic Solutions in Continuous Differential Equations via Degree Theory	7

Zero-Inertia Limit: From Particle Swarm Optimization to Consensus-Based Optimization	7
Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection	7
Rough Center Manifolds	7
Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations	6
Weak-Strong Uniqueness for Maxwell--Stefan Systems	6
Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs	6
On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium	6
Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves	6
Microscopic Validation of a Variational Model of Epitaxially Strained Crystalline Films	6
Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control	6
Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials	6
Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds	6
Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis	6
Venttsel Boundary Value Problems with Discontinuous Data	6
Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space	6
On the Evolution of Slow Dispersal in MultiSpecies Communities	6
High Order Homogenization of the Stokes System in a Periodic Porous Medium	6
Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem	6
Stability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows Past Lipschitz Perturbed Cones	6
On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator	6
Multipole Vortex Patch Equilibria for Active Scalar Equations	6
Exact Large Time Behavior of Spherically Symmetric Plasmas	6
Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains	5
The Complex-Scaled Half-Space Matching Method	5
Homogenization of Quasi-Crystalline Functionals via Two-Scale-Cut-and-Project Convergence	5
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers	5
Variational Source Conditions in $L^p$-spaces	5
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping	5
Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$	5
Ginzburg--Landau Spiral Waves in Circular and Spherical Geometries	5
Monotone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise	5
Multi-Marginal Optimal Transportation Problem for Cyclic Costs	5
A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension	5
NonUnique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in Space	5
Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations	5
Stable Determination of a Rigid Scatterer in Elastodynamics	5
The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability	5
Inertial Manifolds via Spatial Averaging Revisited	5
NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian	5
Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval	5
Maximization of the Steklov Eigenvalues With a Diameter Constraint	5
Existence and NonExistence for the Collision-Induced Breakage Equation	5
Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form	5
Plasma Echoes Near Stable Penrose Data	5
Derivation of Linear Elasticity for a General Class of Atomistic Energies	5
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients	5
Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law	5
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary	5
Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons	5
Two-Dimensional Point Vortex Dynamics in Bounded Domains: Global Existence for Almost Every Initial Data	5
Random Finite-Difference Discretizations of the Ambrosio--Tortorelli Functional with Optimal Mesh-Size	5
Lamination Convex Hull of Stationary Incompressible Porous Media Equations	5
Lower Bound on Quantum Tunneling for Strong Magnetic Fields	5
Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains	5
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT	5
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference-Delay Equations	4
Effective Gaps in Continuous Floquet Hamiltonians	4
Global Solutions of the Nernst--Planck--Euler Equations	4
Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains	4
On the Ill-Posedness of the Triple Deck Model	4
Gamma-Limit of the Onsager--Machlup Functional on the Space of Curves	4
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category	4
Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach	4
Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number	4
Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions	4
Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries	4
Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data	4
On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation	4
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics	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
Generalized Maslov Indices for Non-Hamiltonian Systems	4
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements	4
A New Approach to Space-Time Boundary Integral Equations for the Wave Equation	4
Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials	4
Harnack Inequalities and Hölder Estimates for Master Equations	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
The Wave Breaking for Whitham-Type Equations Revisited	4
Lipschitz Regularity of Graph Laplacians on Random Data Clouds	4
Periodic Solutions to a Perturbed Relativistic Kepler Problem	4

On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response	4
Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson Equation	4
Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data	4
Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System	4
Rigorous Justification of the Fokker--Planck Equations of Neural Networks Based on an Iteration Perspective	4
Feynman--Kac Transform for Anomalous Processes	4
A Nonexpanding Transport Distance for Some Structured Equations	4
Pulse Replication and Accumulation of Eigenvalues	4
Hypocoercivity in Phi-Entropy for the Linear Relaxation Boltzmann Equation on the Torus	4
On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions	4
Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°	4
Quantitative Aspects of the Rigidity of Branching Microstructures in Shape Memory Alloys via H-Measures	4
Global Existence Analysis of Energy-Reaction-Diffusion Systems	4
Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth	4
Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold	4
A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential	4
Green's Function for Nondivergence Elliptic Operators in Two Dimensions	4
Observability Inequality at Two Time Points for KdV Equations	3
Metric Entropy for Functions of Bounded Total Generalized Variation	3
The Bilaplacian with Robin Boundary Conditions	3
Generalized Adler--Moser Polynomials and Multiple Vortex Rings for the Gross--Pitaevskii Equation	3
Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces	3
On Certain Degenerate One-phase Free Boundary Problems	3
Deterministic Mean Field Games with Control on the Acceleration and State Constraints	3
Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations	3
Homogenization for Locally Periodic Elliptic Problems on a Domain	3
Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number \(\boldsymbol{\gamma}^{\boldsymbol{2}} \boldsymbol{\gt} \frac{\boldsymbol 1}{\boldsymbol 4}\)	3
Homogenization of Norton--Hoff Fibered Composites with High Viscosity Contrast	3
Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization	3
Sampling the X-ray Transform on Simple Surfaces	3
Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System	3
Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem	3
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in \({\mathbb {R}}^n\): (II) Overdamping Case	3
On the Existence of Strong Solutions to the Cahn--Hilliard--Darcy System with Mass Source	3
Inverse Elastic Scattering for a Random Potential	3
Infinitely Many Embedded Eigenvalues for the Neumann--Poincaré Operator in 3D	3
Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential	3
Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations	3
Inverse Boundary Problem for the Two Photon Absorption Transport Equation	3
$L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping	3
Damping of Kinetic Transport Equation with Diffuse Boundary Condition	3
Global Solvability and Stability of an Alarm-Taxis System	3
A Half-Space Problem on the Full Euler--Poisson System	3
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach	3
Vector Potentials with Mixed Boundary Conditions. Application to the Stokes Problem with Pressure and Navier-type Boundary Conditions	3
Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies	3
Localized Quantitative Estimates and Potential Blow-Up Rates for the Navier–Stokes Equations	3
Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations	3
Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem	3
X-ray Tomography of One-forms with Partial Data	3
On the Motion of Curved Dislocations in Three Dimensions: Simplified Linearized Elasticity	3
Well Posedness and Limit Theorems for a Class of Stochastic Dyadic Models	3
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization	3
Classification of Solutions to Mixed Order Elliptic System with General Nonlinearity	3
The Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial Data	3
Regularity Structure of Conservative Solutions to the Hunter--Saxton Equation	3
Regularity of Non-cutoff Boltzmann Equation with Hard Potential	3
Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map	3
Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition	3
Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension	3
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy	3
Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations	3
On Single Measurement Stability for the Fractional Calderón Problem	3
Vanishing Capillarity Limit of the Navier--Stokes--Korteweg System in One Dimension with Degenerate Viscosity Coefficient and Discontinuous Initial Density	3
An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method	3
On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion	3
On the Well-posedness of the Damped Time-harmonic Galbrun Equation and the Equations of Stellar Oscillations	3
Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media	3
Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction	3
On a Viscoelastoplastic Porous Medium Problem with Nonlinear Interaction	3
Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative	3
Verification of Prandtl Boundary Layer Ansatz for Steady Electrically Conducting Fluids with a Moving Physical Boundary	3
On a Fractional Version of a Murat Compactness Result and Applications	3
One-Dimensional Viscous and Heat-Conducting Ionized Gas with Density-dependent Viscosity	3
Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation	3
Complex Solutions and Stationary Scattering for the Nonlinear Helmholtz Equation	3
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions	3
On the Hydrostatic Approximation of the MHD Equations in a Thin Strip	3
Existence and Hydrodynamic Limit for a Paveri-Fontana Type Kinetic Traffic Model	3
The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1	3
Stability for a Formally Determined Inverse Problem for a Hyperbolic PDE with Space and Time Dependent Coefficients	3
Propagation of Smallness in Elliptic Periodic Homogenization	3
On the Breakdown of Solutions to the Incompressible Euler Equations with Free Surface Boundary	2
Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations	2
Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators	2
Diffusive Limit of the Vlasov–Poisson–Fokker–Planck Model: Quantitative and Strong Convergence Results	2
Global Quasi-Neutral Limit for a Two-Fluid Euler–Poisson System in Several Space Dimensions	2
Global Regularity for a Nonlocal PDE Describing Evolution of Polynomial Roots Under Differentiation	2
Asymptotic Stability of the Phase-homogeneous Solution to the Kuramoto--Sakaguchi Equation with Inertia	2
Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach	2
Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation	2
Longer Lifespan for Many Solutions of the Kirchhoff Equation	2
Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier--Stokes Equations	2
Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method	2
Formation and Construction of a Multidimensional Shock Wave for the First-Order Hyperbolic Conservation Law with Smooth Initial Data	2