SIAM Journal on Mathematical Analysis

Papers
(The median citation count of SIAM Journal on Mathematical Analysis is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers58
Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations56
Global Solvability and Vanishing Shear Viscosity Limit for a Simplified Compressible Navier--Stokes System with Temperature-Dependent Viscosity41
Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations33
Inverse Scattering for the Biharmonic Wave Equation with a Random Potential33
On the Ill-Posedness of the Triple Deck Model25
Smoluchowski Coagulation Equation with Velocity Dependence24
Effective Fronts of Polygon Shapes in Two Dimensions24
Local Existence for the Landau Equation with Hard Potentials23
Time Analyticity for Nonlocal Parabolic Equations20
A Bourgain–Brezis–Mironescu Formula Accounting for Nonlocal Antisymmetric Exchange Interactions20
Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation19
\({\boldsymbol{{L}^{1}}}\)-Gradient Flow of Convex Functionals18
Static Solutions to the Spherically Symmetric Einstein–Vlasov System: A Particle Number–Casimir Approach18
The Hasimoto Transformation for a Finite Length Vortex Filament and its Application17
Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials17
Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from Its Marginals and Optimal Values16
Asymptotics for Semidiscrete Entropic Optimal Transport15
Stability for Time-Domain Elastic Wave Equations15
Sharp Nonuniqueness of Solutions to Stochastic Navier–Stokes Equations14
Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations13
Infinite-Dimensional Hamilton–Jacobi Equations for Statistical Inference on Sparse Graphs13
Traceability of Water Pollution: An Inversion Scheme via Dynamic Complex Geometrical Optics Solutions13
Propagating Terrace in a Two-Tubes Model of Gravitational Fingering13
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations13
Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces13
On an Obstacle Problem for the Brakke Flow with a Generalized Right-Angle Boundary Condition13
Local Nonuniqueness for Stochastic Transport Equations with Deterministic Drift12
Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients12
Large-Time Behavior of Composite Waves of Viscous Shocks for the Barotropic Navier–Stokes Equations12
Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile12
On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations11
On Fractional Benney Type Systems11
Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy11
Convergence Rates in the Nonrelativistic Limit of the Cubic Klein–Gordon Equation11
On the Convergence from Boltzmann to Navier–Stokes–Fourier for General Initial Data11
Global Regular Solutions for one-dimensional Degenerate Compressible Navier--Stokes Equations with Large Data and Far Field Vacuum11
Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators11
Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form10
Interacting Phase Fields Yielding Phase Separation on Surfaces10
On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content10
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization10
A Bayesian Model for Dynamic Mass Reconstruction from PET Listmode Data10
Ramified Optimal Transportation with Payoff on the Boundary9
A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces9
Approximations of Interface Topological Invariants9
Linearized Optimal Transport on Manifolds9
Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case9
Recovery of a Time-Dependent Hermitian Connection and Potential Appearing in the Dynamic Schrödinger Equation9
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides9
Quantitative Coarse-Graining of Markov Chains9
The Westervelt–Pennes–Cattaneo Model of Nonlinear Thermo–Acoustics: Local Well–Posedness and Singular Limit for Vanishing Relaxation Time9
The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity9
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces8
Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data8
On a Supersonic-Sonic Patch in the Three-Dimensional Steady Axisymmetric Transonic Flows8
Global Well-Posedness and Regularity of Weak Solutions to the Prandtl’s System8
Semidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function Method8
Deterministic Mean Field Games with Control on the Acceleration and State Constraints8
Critical Threshold for Global Regularity of the Euler--Monge--Ampère System with Radial Symmetry8
The Average Distance Problem with Perimeter-to-Area Ratio Penalization8
Well-Posedness and Asymptotic Stability of Solutions for the Incompressible Toner–Tu Model8
Semiclassical Limit of Gross--Pitaevskii Equation with Dirichlet Boundary Condition7
Quantifying the Dissipation Enhancement of Cellular Flows7
Large-Time Behavior for a Phase-Field System of 3D-Grain Boundary Motion7
Multiple Normalized Solutions for First Order Hamiltonian Systems7
Random Switching in an Ecosystem with Two Prey and One Predator7
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach7
Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space7
Boundary Layer Solution of the Boltzmann Equation for Diffusive Reflection Boundary Conditions in Half-Space7
Zero-Dispersion Limit of the Calogero–Moser Derivative NLS Equation7
Global Existence Analysis of Energy-Reaction-Diffusion Systems7
Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data7
On Linear Stability of KAM Tori via the Craig–Wayne–Bourgain Method7
Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions7
Nonlocal Elliptic and Parabolic Equations with General Stable Operators in Weighted Sobolev Spaces7
Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces6
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics6
Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids6
Convergence to Self-Similar Profiles in Reaction-Diffusion Systems6
Asymptotic Stability of Solutions to a Hyperbolic-Elliptic Coupled System of Radiating Gas on the Half Line6
On the Existence and Structures of Almost Axisymmetric Solutions to 3-D Navier–Stokes Equations6
Uniqueness and Orbital Stability of Standing Waves for the Nonlinear Schrödinger Equation with a Partial Confinement6
Regularity Structure of Conservative Solutions to the Hunter--Saxton Equation6
Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System6
Uniform Far-Field Asymptotics of the Two-Layered Green Function in Two Dimensions and Application to Wave Scattering in a Two-Layered Medium6
On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations6
Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods6
Boundary-Field Formulation for Transient Electromagnetic Scattering by Dielectric Scatterers and Coated Conductors6
Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws6
Nonmonotonicity of Principal Eigenvalues in Diffusion Rate for Some Non-Self-Adjoint Operators with Large Advection6
The Compact Support Property for Solutions to the Stochastic Partial Differential Equations with Colored Noise6
Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator6
Well-posedness and Scattering for the Generalized Boussinesq Equation6
Quasi-linear Fractional-Order Operators in Lipschitz Domains6
\(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions6
Modulational Instability in the Ostrovsky Equation and Related Models6
Lax–Oleinik Formula on Networks6
Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation5
An \(\boldsymbol{L^1_{k}\cap L^{p}_{k}}\) Approach for the Non-Cutoff Boltzmann Equation in \(\boldsymbol{\mathbb{R}^3}\)5
Explicit Solution of the 1D Schrödinger Equation5
Thermo-elastodynamics of Finitely Strained Multipolar Viscous Solids with an Energy-Controlled Stress5
On the Regularity of Solutions to Some Active Scalar Equations on Bounded Domains5
Deterministic Optimal Control on Riemannian Manifolds Under Probability Knowledge of the Initial Condition5
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency5
Crack Nucleation in Shells with Through-the-Thickness Microstructure5
Instability of Quadratic Band Degeneracies and the Emergence of Dirac Points5
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients5
Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations5
Inertial Manifolds via Spatial Averaging Revisited5
On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems5
Asymptotics and Total Integrals of the \(\textrm{P}_{\textrm I}^2\) Tritronquée Solution and Its Hamiltonian5
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
Second Derivative Estimates and Gradient Asymptotics for Closely Located Inclusions in Linear Elasticity5
Mean Field Games Systems under Displacement Monotonicity5
Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations5
Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System5
Threshold Solutions for the Intercritical Inhomogeneous NLS5
Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form5
The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model5
Incompressible Limit of a Porous Media Equation with Bistable and Monostable Reaction Term5
On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields5
Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip5
Spectral Analysis of the Neumann–Poincaré Operator for Thin Doubly Connected Domains5
Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$5
Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent–McWilliams–Redi Eddy Parametrization Model5
Lipschitz Regularity of Graph Laplacians on Random Data Clouds5
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary5
Second-Order Fast-Slow Stochastic Systems5
Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis5
Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix4
Gradient Regularity for a Class of Widely Degenerate Parabolic Systems4
Longer Lifespan for Many Solutions of the Kirchhoff Equation4
Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach4
Formation and Construction of a Multidimensional Shock Wave for the First-Order Hyperbolic Conservation Law with Smooth Initial Data4
A Perturbative Approach to the Parabolic Optimal Transport Problem4
Asymptotics of the Hard Edge Pearcey Determinant4
Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System4
Long-Time Behavior and Stability for Quasilinear Doubly Degenerate Parabolic Equations of Higher Order4
Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations4
Novel Resolution Analysis for the Radon Transform in \(\mathbb R^2\) for Functions with Rough Edges4
Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge4
Optimization of Neumann Eigenvalues Under Convexity and Geometric Constraints4
Global \( {H^2}\)-Solutions for the Generalized Derivative NLS on \(\mathbb T\)4
Existence and Asymptotic Behavior for a Lamé System with Time-Dependent Delay and Analytic Nonlinearity4
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise4
Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation4
Large \(\boldsymbol{|k|}\) Behavior for the Reflection Coefficient for Davey-Stewartson II Equations4
Gradient Estimates for Stokes and Navier--Stokes Systems with Piecewise DMO Coefficients4
Discrete Approximation of the Griffith Functional by Adaptive Finite Elements4
Scattering for Nonradial 3D NLS with Combined Nonlinearities: The Interaction Morawetz Approach4
Free and Harmonic Trapped Spin-1 Bose–Einstein Condensates in \({{\mathbb{R}}^{3}}\)4
Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems4
Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations4
Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields4
Partial Data Inverse Problem for Hyperbolic Equation with Time-Dependent Damping Coefficient and Potential4
Nonlocal Double Phase Implicit Obstacle Problems with Multivalued Boundary Conditions4
Upper Bound for the Grand Canonical Free Energy of the Bose Gas in the Gross–Pitaevskii Limit4
Hölder Estimates for the Stefan Problem4
Renormalization and Existence of Finite-Time Blow-Up Solutions for a One-Dimensional Analogue of the Navier–Stokes Equations4
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients4
An Inverse Problem for Hypersonic Flow Past a Curved Cone4
A McKean--Vlasov SDE and Particle System with Interaction from Reflecting Boundaries4
Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen–Leslie Model4
Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions4
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy4
Spatial Profiles of a Reaction-Diffusion Epidemic Model with Nonlinear Incidence Mechanism and Constant Total Population4
Equivariant Pyragas Control of Discrete Waves4
On the Global Well-Posedness and Analyticity of Some Electrodiffusion Models in Ideal Fluids and Porous Media4
Enhanced Dissipation and Transition Threshold for the Poiseuille Flow in a Periodic Strip4
Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains4
Suppression of Blow-Up in Multispecies Patlak–Keller–Segel–Navier–Stokes System via the Poiseuille Flow in a Finite Channel3
Sharp Rates of Decay and Global-in-Time Stability of Large Solutions to The Three-Dimensional Incompressible Phan-Thien–Tanner System of Polymeric Flows3
Convergence of Large Population Games to Mean Field Games with Interaction Through the Controls3
Optimal Rigidity Estimates for Maps of a Compact Riemannian Manifold to Itself3
Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem3
Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics3
NonLocal Optimized Schwarz Method for the Helmholtz Equation with Physical Boundaries3
Global Existence of Large Solution to the Isothermal Compressible Navier–Stokes Equations with Degenerate Viscosity and Vacuum3
Stability of the Ball for Attractive-Repulsive Energies3
Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited3
Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction3
Curvature Effects in Pattern Formation: Well-Posedness and Optimal Control of a Sixth-Order Cahn–Hilliard Equation3
Globally Analytical Solutions of the Compressible Oldroyd-B Model Without Retardation3
Well-Posedness of an Integro-Differential Model for Active Brownian Particles3
Relaxation Time Limits of Subsonic Steady States for Multidimensional Hydrodynamic Model of Semiconductors3
Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization3
Existence of Rotating Stars with Variable Entropy3
Global Existence and Limiting Behavior of Unidirectional Flocks for the Fractional Euler Alignment System3
Determining a Stationary Mean Field Game System from Full/Partial Boundary Measurement3
Acoustic Cavitation using Resonating MicroBubbles: Analysis in the Time-Domain3
Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data3
Existence of Solutions to the Patlak–Keller–Segel–Navier–Stokes System3
Homogenization for Locally Periodic Elliptic Problems on a Domain3
Scattering and Asymptotic Behavior of Solutions to the Vlasov–Poisson System in High Dimension3
Fundamental Solutions to Kolmogorov–Fokker–Planck Equations with Rough Coefficients: Existence, Uniqueness, Upper Estimates3
Diffusive Limit of the One-Species Vlasov–Maxwell–Boltzmann System for Cutoff Hard Potentials3
An Inverse Boundary Value Problem Arising in Nonlinear Acoustics3
Mild Ill-Posedness for 2D Magneto-Micropolar Fluid Equations Near a Background Magnetic Field3
Lower Bound on Quantum Tunneling for Strong Magnetic Fields3
Improved Concentration of Laguerre and Jacobi Ensembles3
Scattering and Nonscattering of the Hartree-Type Nonlinear Dirac System at Critical Regularity3
Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle3
Diffusive Limit of Random Walks on Tessellations via Generalized Gradient Flows3
Time-Periodic Weak Solutions for an Incompressible Newtonian Fluid Interacting with an Elastic Plate3
Entropy Estimate for Degenerate SDEs with Applications to Nonlinear Kinetic Fokker–Planck Equations3
Partial Data Inverse Problems for the Nonlinear Time-Dependent Schrödinger Equation3
Nonpower Law Constant Flux Solutions for the Smoluchowski Coagulation Equation3
New Regularity Results for Scalar Conservation Laws, and Applications to a Source-Destination Model for Traffic Flows on Networks3
Global Solvability and Stability of an Alarm-Taxis System3
Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality in Approximation on Hölder Class3
Entropy Solutions in $BV^s$ for a Class of Triangular Systems Involving a Transport Equation3
Global Smooth Sonic-Supersonic Flows in a Class of Critical Nozzles3
Global Dynamics to the Periodic Ferromagnetic Spin Chain System3
NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian3
On the Global Well-Posedness for the Periodic Quintic Nonlinear Schrödinger Equation3
Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data3
Global Classical Large Solutions for the Radiation Hydrodynamics Model in Unbounded Domains3
The Calderón Problem for Space-Time Fractional Parabolic Operators with Variable Coefficients3
Global Euler–Poisson Limit to the Vlasov–Poisson–Boltzmann System with Soft Potential3
Regular Singular Volterra Equations on Complex Domains3
Plasma Echoes Near Stable Penrose Data3
Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems3
Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary3
An Optimal Transport Analogue of the Rudin–Osher–Fatemi Model and Its Corresponding Multiscale Theory3
Symmetry of Periodic Traveling Waves for Nonlocal Dispersive Equations3
On the Hydrostatic Approximation of the MHD Equations in a Thin Strip3
Global Existence and Optimal Time-Decay Rates of the Compressible Navier–Stokes–Euler System3
The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions3
Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise3
Defects in Liquid Crystal Flows3
Exponential Mixing by Shear Flows3
Stability Estimate for an Inverse Problem for the Time Harmonic Magnetic Schrödinger Operator from the Near and Far Field Patterns3
Global Existence of a Solution for Isentropic Gas Flow in the Laval Nozzle with a Friction Term3
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions3
The Vanishing Diffusion Limit for an Oldroyd-B Model in \(\mathbb{R}^{2}_{+}\)3
Conditional Regularity for the Compressible MHD System with Inhomogeneous Boundary Data2
Homogenization and Phase Separation with Fixed Wells—The Supercritical Case2
Convergence of Solutions to a Convective Cahn–Hilliard-Type Equation of the Sixth Order in Case of Small Deposition Rates2
Generalized Maslov Indices for Non-Hamiltonian Systems2
Derivation of Yudovich Solutions of Incompressible Euler from the Vlasov–Poisson System2
An Inverse Problem for the Porous Medium Equation with Partial Data and a Possibly Singular Absorption Term2
Ground States of Two-Component Bose–Einstein Condensates with Josephson Junction: The Endpoint Cases2
Existence, Nonexistence, and Degeneracy of Limit Solutions to \({{p}}\)-Laplace Problems Involving Hardy Potentials as \({{p}\to 1^+}\)2
Weak Optimal Transport with Unnormalized Kernels2
A Representation Formula for Viscosity Solutions of Nonlocal Hamilton–Jacobi Equations and Applications2
Planar Viscous Shocks with Periodic Perturbations for Scalar Multidimensional Viscous Conservation Laws2
Gradient Flows for Probabilistic Frame Potentials in the Wasserstein Space2
A Dynamical Approach to Lower Gradient Estimates for Viscosity Solutions of Hamilton–Jacobi Equations2
Analysis of Time-Harmonic Maxwell Impedance Problems in Anisotropic Media2
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