SIAM Journal on Mathematical Analysis

Article	Citations
Deep Network Approximation for Smooth Functions	48
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	39
Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation	27
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	21
An Elliptic Boundary Value Problem with Fractional Nonlinearity	20
Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations	20
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System	18
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
On Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems	16
Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation	15
Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems	15
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
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions	14
Finite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability Measures	14
Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection	13
Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle	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	12
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

Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System	11
Eulerian Dynamics in Multidimensions with Radial Symmetry	11
Smooth Dynamics of Weakly Damped Lamé Systems with Delay	11
Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis	11
Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$	11
Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation	11
Reconstruction of the Collision Kernel in the Nonlinear Boltzmann Equation	10
Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models	10
Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary	10
Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport	10
Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag	10
Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation	10
Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models	10
From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models	10
On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System	10
Shock Formation of the Burgers--Hilbert Equation	9
Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs	9
Elliptic Equations with Degenerate Weights	9
Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations	9
Multilayered Poroelasticity Interacting with Stokes Flow	9
Exact Number of Positive Solutions for the Kirchhoff Equation	9
On Global-in-Time Weak Solutions to a Two-Dimensional Full Compressible NonResistive MHD System	9
Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors	9
Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves	9
Spatial Stationarity, Ergodicity, and CLT for Parabolic Anderson Model with Delta Initial Condition in Dimension $d\geq 1$	9
Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems	8
Fast Non-mean-field Networks: Uniform in Time Averaging	8
Linear Schrödinger Equation with an Almost Periodic Potential	8
Zero-Inertia Limit: From Particle Swarm Optimization to Consensus-Based Optimization	8
Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations	8
Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum	8
Nield--Kuznetsov Functions and Laplace Transforms of Parabolic Cylinder Functions	8
On the Discreteness of Transmission Eigenvalues for the Maxwell Equations	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
Asymptotics for Semidiscrete Entropic Optimal Transport	8
Quantitative Stability of Regularized Optimal Transport and Convergence of Sinkhorn's Algorithm	8
Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems	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
Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption	8
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise	8
Existence and Incompressible Limit of a Tissue Growth Model with Autophagy	7
Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection	7
Barycenters for the Hellinger--Kantorovich Distance Over $\mathbb{R}^d$	7
Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials	7
Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs	7
Higher Order Analysis on the Existence of Periodic Solutions in Continuous Differential Equations via Degree Theory	7
Loss of Double-Integral Character During Relaxation	7

Velocity Averaging and Hölder Regularity for Kinetic Fokker--Planck Equations with General Transport Operators and Rough Coefficients	7
Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$	7
Emergence of Time-Dependent Point Interactions in Polaron Models	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
Convergence to Periodic Probability Solutions in Fokker--Planck Equations	7
Rough Center Manifolds	7
Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves	6
Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons	6
Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries	6
Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations	6
Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space	6
Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control	6
High Order Homogenization of the Stokes System in a Periodic Porous Medium	6
Two-Dimensional Point Vortex Dynamics in Bounded Domains: Global Existence for Almost Every Initial Data	6
On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium	6
Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem	6
Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$	6
Weak-Strong Uniqueness for Maxwell--Stefan Systems	6
NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian	6
Existence and NonExistence for the Collision-Induced Breakage Equation	6
Microscopic Validation of a Variational Model of Epitaxially Strained Crystalline Films	6
Multi-Marginal Optimal Transportation Problem for Cyclic Costs	6
Stability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows Past Lipschitz Perturbed Cones	6
Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis	6
On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category	6
Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions	6
Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds	6
Multipole Vortex Patch Equilibria for Active Scalar Equations	6
Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations	6
Exact Large Time Behavior of Spherically Symmetric Plasmas	6
Monotone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise	6
On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator	6
On the Evolution of Slow Dispersal in MultiSpecies Communities	6
Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number	5
Ginzburg--Landau Spiral Waves in Circular and Spherical Geometries	5
Lamination Convex Hull of Stationary Incompressible Porous Media Equations	5
Partial Regularity of Suitable Weak Solutions of the Navier--Stokes--Planck--Nernst--Poisson 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
Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law	5
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients	5
The Complex-Scaled Half-Space Matching Method	5
Inertial Manifolds via Spatial Averaging Revisited	5
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping	5
Maximization of the Steklov Eigenvalues With a Diameter Constraint	5
Lower Bound on Quantum Tunneling for Strong Magnetic Fields	5
On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation	5
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT	5
NonUnique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in Space	5
The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability	5
Stable Determination of a Rigid Scatterer in Elastodynamics	5
Derivation of Linear Elasticity for a General Class of Atomistic Energies	5
Hypocoercivity in Phi-Entropy for the Linear Relaxation Boltzmann Equation on the Torus	5
Variational Source Conditions in $L^p$-spaces	5
Random Finite-Difference Discretizations of the Ambrosio--Tortorelli Functional with Optimal Mesh-Size	5
Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval	5
Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data	5
Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains	5
A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension	5
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics	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
On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions	5
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary	5
Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem	4
Effective Gaps in Continuous Floquet Hamiltonians	4
Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth	4
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements	4
Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System	4
Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold	4
Green's Function for Nondivergence Elliptic Operators in Two Dimensions	4
Balanced Viscosity Solutions to a Rate-Independent Coupled Elasto-plastic Damage System	4
$L^1$-Convergence to Generalized Barenblatt Solution for Compressible Euler Equations with Time-Dependent Damping	4
The Bilaplacian with Robin Boundary Conditions	4
Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach	4
$\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics	4
Lipschitz Regularity of Graph Laplacians on Random Data Clouds	4
Harnack Inequalities and Hölder Estimates for Master Equations	4
Quantitative Homogenization for the Case of an Interface Between Two Heterogeneous Media	4
Rigorous Justification of the Fokker--Planck Equations of Neural Networks Based on an Iteration Perspective	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
Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials	4
Global Existence Analysis of Energy-Reaction-Diffusion Systems	4
Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains	4
Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative	4
On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response	4
Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation	4
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference-Delay Equations	4
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in \({\mathbb {R}}^n\): (II) Overdamping Case	4
Global Solutions of the Nernst--Planck--Euler Equations	4
The Wave Breaking for Whitham-Type Equations Revisited	4
Pulse Replication and Accumulation of Eigenvalues	4
Quantitative Aspects of the Rigidity of Branching Microstructures in Shape Memory Alloys via H-Measures	4
Damping of Kinetic Transport Equation with Diffuse Boundary Condition	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
Periodic Solutions to a Perturbed Relativistic Kepler Problem	4
A Nonexpanding Transport Distance for Some Structured Equations	4
Vanishing Capillarity Limit of the Navier--Stokes--Korteweg System in One Dimension with Degenerate Viscosity Coefficient and Discontinuous Initial Density	4
Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data	4
A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential	4
Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains	4
Generalized Maslov Indices for Non-Hamiltonian Systems	4
Feynman--Kac Transform for Anomalous Processes	4
Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number \(\boldsymbol{\gamma}^{\boldsymbol{2}} \boldsymbol{\gt} \frac{\boldsymbol 1}{\boldsymbol 4}\)	4
A New Approach to Space-Time Boundary Integral Equations for the Wave Equation	4
Gamma-Limit of the Onsager--Machlup Functional on the Space of Curves	4
On the Ill-Posedness of the Triple Deck Model	4
Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°	4