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 2021-09-01 to 2025-09-01.)
ArticleCitations
Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations62
Global Solvability and Vanishing Shear Viscosity Limit for a Simplified Compressible Navier--Stokes System with Temperature-Dependent Viscosity61
Asymptotics for Semidiscrete Entropic Optimal Transport45
Inverse Scattering for the Biharmonic Wave Equation with a Random Potential37
Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations35
The Hasimoto Transformation for a Finite Length Vortex Filament and its Application31
Mixing, Enhanced Dissipation, and Phase Transition in the Kinetic Vicsek Model29
Optimizing the Ground-State Energy of a Robin Laplacian: Asymptotic Behavior25
On the Ill-Posedness of the Triple Deck Model25
Effective Fronts of Polygon Shapes in Two Dimensions24
Smoluchowski Coagulation Equation with Velocity Dependence21
Local Existence for the Landau Equation with Hard Potentials21
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 Equation18
Static Solutions to the Spherically Symmetric Einstein–Vlasov System: A Particle Number–Casimir Approach18
\({\boldsymbol{{L}^{1}}}\)-Gradient Flow of Convex Functionals18
Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from Its Marginals and Optimal Values17
Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials17
Stability for Time-Domain Elastic Wave Equations16
Sharp Nonuniqueness of Solutions to Stochastic Navier–Stokes Equations15
Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces15
The Hot Spots Conjecture for Some Non-Convex Polygons15
Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators14
Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations14
Traceability of Water Pollution: An Inversion Scheme via Dynamic Complex Geometrical Optics Solutions14
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers14
Large-Time Behavior of Composite Waves of Viscous Shocks for the Barotropic Navier–Stokes Equations14
Quantitative Coarse-Graining of Markov Chains14
Infinite-Dimensional Hamilton–Jacobi Equations for Statistical Inference on Sparse Graphs13
Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile13
Propagating Terrace in a Two-Tubes Model of Gravitational Fingering13
Local Nonuniqueness for Stochastic Transport Equations with Deterministic Drift13
On an Obstacle Problem for the Brakke Flow with a Generalized Right-Angle Boundary Condition13
Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy12
Convergence Rates in the Nonrelativistic Limit of the Cubic Klein–Gordon Equation12
Global Regular Solutions for one-dimensional Degenerate Compressible Navier--Stokes Equations with Large Data and Far Field Vacuum12
A Diffuse-Interface Landau–de Gennes Model for Free Boundary Problems in the Theory of Nematic Liquid Crystals12
On the Convergence from Boltzmann to Navier–Stokes–Fourier for General Initial Data12
On Fractional Benney Type Systems12
Linearized Optimal Transport on Manifolds12
Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form11
Ramified Optimal Transportation with Payoff on the Boundary11
On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content11
Interacting Phase Fields Yielding Phase Separation on Surfaces11
A Bayesian Model for Dynamic Mass Reconstruction from PET Listmode Data11
The Average Distance Problem with Perimeter-to-Area Ratio Penalization10
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization10
Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case10
Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data10
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides10
Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients10
A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces10
Stochastic Differential Equations with Low Regularity Growing Drifts and Applications10
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations10
On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations10
On a Supersonic-Sonic Patch in the Three-Dimensional Steady Axisymmetric Transonic Flows9
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces9
Critical Threshold for Global Regularity of the Euler--Monge--Ampère System with Radial Symmetry9
Well-Posedness and Asymptotic Stability of Solutions for the Incompressible Toner–Tu Model9
Semiclassical Limit of Gross--Pitaevskii Equation with Dirichlet Boundary Condition9
The Convergence Rate of Vanishing Viscosity Approximations for Mean Field Games9
Approximations of Interface Topological Invariants9
The Westervelt–Pennes–Cattaneo Model of Nonlinear Thermo–Acoustics: Local Well–Posedness and Singular Limit for Vanishing Relaxation Time9
Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data9
Deterministic Mean Field Games with Control on the Acceleration and State Constraints8
The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity8
Random Switching in an Ecosystem with Two Prey and One Predator8
Boundary Layer Solution of the Boltzmann Equation for Diffusive Reflection Boundary Conditions in Half-Space8
Global Existence Analysis of Energy-Reaction-Diffusion Systems8
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach8
Recovery of a Time-Dependent Hermitian Connection and Potential Appearing in the Dynamic Schrödinger Equation8
Semidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function Method8
On Linear Stability of KAM Tori via the Craig–Wayne–Bourgain Method8
Nonlocal Elliptic and Parabolic Equations with General Stable Operators in Weighted Sobolev Spaces8
Global Well-Posedness and Regularity of Weak Solutions to the Prandtl’s System8
Quantifying the Dissipation Enhancement of Cellular Flows8
Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space8
Regularity Structure of Conservative Solutions to the Hunter--Saxton Equation8
Zero-Dispersion Limit of the Calogero–Moser Derivative NLS Equation8
Convergence to Self-Similar Profiles in Reaction-Diffusion Systems7
\(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions7
Nonmonotonicity of Principal Eigenvalues in Diffusion Rate for Some Non-Self-Adjoint Operators with Large Advection7
Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws7
The Compact Support Property for Solutions to the Stochastic Partial Differential Equations with Colored Noise7
On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations7
Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces7
Large-Time Behavior for a Phase-Field System of 3D-Grain Boundary Motion7
Uniqueness and Orbital Stability of Standing Waves for the Nonlinear Schrödinger Equation with a Partial Confinement7
Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions7
Boundary-Field Formulation for Transient Electromagnetic Scattering by Dielectric Scatterers and Coated Conductors7
On the Global Convergence of Wasserstein Gradient Flow of the Coulomb Discrepancy7
Quasi-linear Fractional-Order Operators in Lipschitz Domains7
Weak Random Attractors for the Stochastic Three-Dimensional Navier–Stokes Equations with Multiplicative Noise7
Multiple Normalized Solutions for First Order Hamiltonian Systems7
Modulational Instability in the Ostrovsky Equation and Related Models7
On the Existence and Structures of Almost Axisymmetric Solutions to 3-D Navier–Stokes Equations7
Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods7
Lax–Oleinik Formula on Networks7
Well-posedness and Scattering for the Generalized Boussinesq Equation7
Asymptotic Stability of Solutions to a Hyperbolic-Elliptic Coupled System of Radiating Gas on the Half Line6
Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$6
Asymptotics and Total Integrals of the \(\textrm{P}_{\textrm I}^2\) Tritronquée Solution and Its Hamiltonian6
Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation6
On the Regularity of Solutions to Some Active Scalar Equations on Bounded Domains6
Threshold Solutions for the Intercritical Inhomogeneous NLS6
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency6
Exponential Stability of Linear Periodic Difference-Delay Equations6
Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids6
Mean Field Games Systems under Displacement Monotonicity6
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary6
Explicit Solution of the 1D Schrödinger Equation6
The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model6
Second Derivative Estimates and Gradient Asymptotics for Closely Located Inclusions in Linear Elasticity6
Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator6
Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System6
Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations6
Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent–McWilliams–Redi Eddy Parametrization Model6
Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip6
On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems6
Second-Order Fast-Slow Stochastic Systems6
Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis6
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients6
Lipschitz Regularity of Graph Laplacians on Random Data Clouds6
Uniform Far-Field Asymptotics of the Two-Layered Green Function in Two Dimensions and Application to Wave Scattering in a Two-Layered Medium6
Crack Nucleation in Shells with Through-the-Thickness Microstructure6
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics6
Instability of Quadratic Band Degeneracies and the Emergence of Dirac Points5
Gradient Estimates for Stokes and Navier--Stokes Systems with Piecewise DMO Coefficients5
Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations5
Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach5
Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge5
Existence and Asymptotic Behavior for a Lamé System with Time-Dependent Delay and Analytic Nonlinearity5
Spatial Profiles of a Reaction-Diffusion Epidemic Model with Nonlinear Incidence Mechanism and Constant Total Population5
Uniform Bounds and the Inviscid Limit for the Navier–Stokes Equations with Navier Boundary Conditions5
Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations5
Spectral Analysis of the Neumann–Poincaré Operator for Thin Doubly Connected Domains5
Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form5
Long-Time Behavior and Stability for Quasilinear Doubly Degenerate Parabolic Equations of Higher Order5
Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System5
Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation5
Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix5
Large \(\boldsymbol{|k|}\) Behavior for the Reflection Coefficient for Davey-Stewartson II Equations5
Discrete Approximation of the Griffith Functional by Adaptive Finite Elements5
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
Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions5
An \(\boldsymbol{L^1_{k}\cap L^{p}_{k}}\) Approach for the Non-Cutoff Boltzmann Equation in \(\boldsymbol{\mathbb{R}^3}\)5
A Perturbative Approach to the Parabolic Optimal Transport Problem5
Scattering for Nonradial 3D NLS with Combined Nonlinearities: The Interaction Morawetz Approach5
Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System5
Optimal Quantization with Branched Optimal Transport Distances5
Trend to Equilibrium and Hypoelliptic Regularity for the Relativistic Fokker–Planck Equation5
Asymptotics of the Hard Edge Pearcey Determinant5
Equivariant Pyragas Control of Discrete Waves5
Renormalization and Existence of Finite-Time Blow-Up Solutions for a One-Dimensional Analogue of the Navier–Stokes Equations5
An Inverse Problem for Hypersonic Flow Past a Curved Cone5
Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen–Leslie Model5
Deterministic Optimal Control on Riemannian Manifolds Under Probability Knowledge of the Initial Condition5
Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields5
Inertial Manifolds via Spatial Averaging Revisited5
Incompressible Limit of a Porous Media Equation with Bistable and Monostable Reaction Term5
Thermo-elastodynamics of Finitely Strained Multipolar Viscous Solids with an Energy-Controlled Stress5
On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields5
Improved Concentration of Laguerre and Jacobi Ensembles4
Entropy Estimate for Degenerate SDEs with Applications to Nonlinear Kinetic Fokker–Planck Equations4
Sharp Rates of Decay and Global-in-Time Stability of Large Solutions to The Three-Dimensional Incompressible Phan-Thien–Tanner System of Polymeric Flows4
Upper Bound for the Grand Canonical Free Energy of the Bose Gas in the Gross–Pitaevskii Limit4
Global Solvability and Stability of an Alarm-Taxis System4
NonLocal Optimized Schwarz Method for the Helmholtz Equation with Physical Boundaries4
The Vanishing Diffusion Limit for an Oldroyd-B Model in \(\mathbb{R}^{2}_{+}\)4
Global \( {H^2}\)-Solutions for the Generalized Derivative NLS on \(\mathbb T\)4
Well-Posedness of an Integro-Differential Model for Active Brownian Particles4
Longer Lifespan for Many Solutions of the Kirchhoff Equation4
How to Construct Explicit Decay Rates for Kinetic Fokker–Planck Equations?4
Novel Resolution Analysis for the Radon Transform in \(\mathbb R^2\) for Functions with Rough Edges4
Formation and Construction of a Multidimensional Shock Wave for the First-Order Hyperbolic Conservation Law with Smooth Initial Data4
Nonlocal Double Phase Implicit Obstacle Problems with Multivalued Boundary Conditions4
Homogenization for Locally Periodic Elliptic Problems on a Domain4
Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization4
Gradient Regularity for a Class of Widely Degenerate Parabolic Systems4
Symmetry of Periodic Traveling Waves for Nonlocal Dispersive Equations4
Mild Ill-Posedness for 2D Magneto-Micropolar Fluid Equations Near a Background Magnetic Field4
Local Well-Posedness for a Novel Nonlocal Model for Cell-Cell Adhesion via Receptor Binding4
Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction4
A McKean--Vlasov SDE and Particle System with Interaction from Reflecting Boundaries4
Regular Singular Volterra Equations on Complex Domains4
Optimization of Neumann Eigenvalues Under Convexity and Geometric Constraints4
Supersonic Gravitational Collapse for Nonisentropic Gaseous Stars4
Hölder Estimates for the Stefan Problem4
Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data4
Free and Harmonic Trapped Spin-1 Bose–Einstein Condensates in \({{\mathbb{R}}^{3}}\)4
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy4
Enhanced Dissipation and Transition Threshold for the Poiseuille Flow in a Periodic Strip4
Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary4
An Inverse Boundary Value Problem Arising in Nonlinear Acoustics4
Plasma Echoes Near Stable Penrose Data4
Nonpower Law Constant Flux Solutions for the Smoluchowski Coagulation Equation4
On the Global Well-Posedness and Analyticity of Some Electrodiffusion Models in Ideal Fluids and Porous Media4
Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited4
Diffusive Limit of Random Walks on Tessellations via Generalized Gradient Flows4
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise4
Acoustic Cavitation using Resonating MicroBubbles: Analysis in the Time-Domain4
Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains4
Optimal Rigidity Estimates for Maps of a Compact Riemannian Manifold to Itself4
The Equations of Extended Magnetohydrodynamics4
Global Existence and Optimal Time-Decay Rates of the Compressible Navier–Stokes–Euler System4
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients4
Curvature Effects in Pattern Formation: Well-Posedness and Optimal Control of a Sixth-Order Cahn–Hilliard Equation4
Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations4
Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems4
Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise4
Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics4
Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations4
Partial Data Inverse Problem for Hyperbolic Equation with Time-Dependent Damping Coefficient and Potential4
Global Dynamics to the Periodic Ferromagnetic Spin Chain System4
Long-Time Behavior of Deterministic Mean Field Games with Nonmonotone Interactions3
On Fully Nonlinear Parabolic Mean Field Games with Nonlocal and Local Diffusions3
Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow3
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements3
Central and Noncentral Limit Theorems Arising from the Scattering Transform and Its Neural Activation Generalization3
Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality in Approximation on Hölder Class3
Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach3
Global Smooth Sonic-Supersonic Flows in a Class of Critical Nozzles3
On Stability Analysis for Steady States of the Free Boundary Hard Phase Model in General Relativity3
Erratum: Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting3
Multibump Solutions for Critical Choquard Equation3
Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem3
Propagation of Rough Initial Data for Navier–Stokes Equation3
Regularity of Boltzmann Equation with Cercignani--Lampis Boundary in Convex Domain3
Local Strong Solutions to the Full Compressible Navier--Stokes System with Temperature-Dependent Viscosity and Heat Conductivity3
Properties of the Biot–Savart Operator Acting on Surface Currents3
A One-Phase Space-Fractional Stefan Problem With No Liquid Initial Domain3
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions3
Suppression of Blow-Up in Multispecies Patlak–Keller–Segel–Navier–Stokes System via the Poiseuille Flow in a Finite Channel3
Global Solutions to 3D Incompressible MHD System with Dissipation in Only One Direction3
NonMonotonicity of Traveling Wave Profiles for a Unimodal Recursive System3
Exponential Mixing by Shear Flows3
Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems3
Global Solutions to an Initial-Boundary Value Problem of a Phase-Field Model for Motion of Grain Boundaries3
Integrability Propagation for a Boltzmann System Describing Polyatomic Gas Mixtures3
Analysis and Numerical Solvability of Backward-Forward Conservation Laws3
The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions3
Existence of Solutions to Reaction Cross Diffusion Systems3
Partial Data Inverse Problems for the Nonlinear Time-Dependent Schrödinger Equation3
Lagrangian Solutions to the Porous Media Equation and Reaction Diffusion Systems3
Determining a Stationary Mean Field Game System from Full/Partial Boundary Measurement3
Asymptotically Autonomous Robustness of Random Attractors for 3D BBM Equations Driven by Nonlinear Colored Noise3
Boussinesq’s Equation for Water Waves: Asymptotics in Sector V3
Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains3
The Fourier, Hilbert, and Mellin Transforms on a Half-Line3
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