SIAM Journal on Mathematical Analysis

Papers
(The TQCC of SIAM Journal on Mathematical Analysis is 4. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations73
Global Solvability and Vanishing Shear Viscosity Limit for a Simplified Compressible Navier--Stokes System with Temperature-Dependent Viscosity66
Mixing, Enhanced Dissipation, and Phase Transition in the Kinetic Vicsek Model47
The Hot Spots Conjecture for Some Non-Convex Polygons38
On the Ill-Posedness of the Triple Deck Model38
Inverse Scattering for the Biharmonic Wave Equation with a Random Potential36
The Hasimoto Transformation for a Finite Length Vortex Filament and its Application32
Optimizing the Ground-State Energy of a Robin Laplacian: Asymptotic Behavior31
Small Scales in Inviscid Limits of Steady Fluids30
Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from Its Marginals and Optimal Values28
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers25
Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces25
Effective Fronts of Polygon Shapes in Two Dimensions23
Static Solutions to the Spherically Symmetric Einstein–Vlasov System: A Particle Number–Casimir Approach21
Time Analyticity for Nonlocal Parabolic Equations21
Smoluchowski Coagulation Equation with Velocity Dependence21
Local Existence for the Landau Equation with Hard Potentials20
Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials20
Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations20
\({\boldsymbol{{L}^{1}}}\)-Gradient Flow of Convex Functionals20
Stability for Time-Domain Elastic Wave Equations19
Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation19
Asymptotics for Semidiscrete Entropic Optimal Transport19
Sharp Nonuniqueness of Solutions to Stochastic Navier–Stokes Equations19
A Bourgain–Brezis–Mironescu Formula Accounting for Nonlocal Antisymmetric Exchange Interactions18
Interacting Phase Fields Yielding Phase Separation on Surfaces17
Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations17
On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content16
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides16
Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy16
Ramified Optimal Transportation with Payoff on the Boundary16
On Fractional Benney Type Systems15
Propagating Terrace in a Two-Tubes Model of Gravitational Fingering15
Quantitative Coarse-Graining of Markov Chains15
On an Obstacle Problem for the Brakke Flow with a Generalized Right-Angle Boundary Condition15
Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators15
Infinite-Dimensional Hamilton–Jacobi Equations for Statistical Inference on Sparse Graphs15
On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations14
Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile14
A Diffuse-Interface Landau–de Gennes Model for Free Boundary Problems in the Theory of Nematic Liquid Crystals14
Stochastic Differential Equations with Low Regularity Growing Drifts and Applications14
Large-Time Behavior of Composite Waves of Viscous Shocks for the Barotropic Navier–Stokes Equations13
A Bayesian Model for Dynamic Mass Reconstruction from PET Listmode Data13
Linearized Optimal Transport on Manifolds13
Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients13
On the Convergence from Boltzmann to Navier–Stokes–Fourier for General Initial Data13
Unpredictable Behavior of a Partially Damped System of PDEs Modeling Suspension Bridges13
Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case13
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization12
Traceability of Water Pollution: An Inversion Scheme via Dynamic Complex Geometrical Optics Solutions12
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations12
Convergence Rates in the Nonrelativistic Limit of the Cubic Klein–Gordon Equation12
The Average Distance Problem with Perimeter-to-Area Ratio Penalization12
Global Regular Solutions for one-dimensional Degenerate Compressible Navier--Stokes Equations with Large Data and Far Field Vacuum12
Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form12
Local Nonuniqueness for Stochastic Transport Equations with Deterministic Drift12
Approximations of Interface Topological Invariants11
Semiclassical Limit of Gross--Pitaevskii Equation with Dirichlet Boundary Condition11
Deterministic Mean Field Games with Control on the Acceleration and State Constraints11
A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces11
The Convergence Rate of Vanishing Viscosity Approximations for Mean Field Games11
The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity11
Uniform Estimates for Transmission Problems in Electromagnetism with High Contrast in Magnetic Permeabilities11
Well-Posedness and Asymptotic Stability of Solutions for the Incompressible Toner–Tu Model11
Critical Threshold for Global Regularity of the Euler--Monge--Ampère System with Radial Symmetry11
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach11
Asymptotics for Minimizers of Landau–de Gennes with a Magnetic Field and Tangential Anchoring11
Recovery of a Time-Dependent Hermitian Connection and Potential Appearing in the Dynamic Schrödinger Equation11
Quantifying the Dissipation Enhancement of Cellular Flows10
On a Supersonic-Sonic Patch in the Three-Dimensional Steady Axisymmetric Transonic Flows10
Optimal Control of a Nonlinear Kinetic Fokker–Planck Equation10
Semidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function Method10
Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data10
Random Switching in an Ecosystem with Two Prey and One Predator10
Global Well-Posedness and Regularity of Weak Solutions to the Prandtl’s System10
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces10
Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data10
The Westervelt–Pennes–Cattaneo Model of Nonlinear Thermo–Acoustics: Local Well–Posedness and Singular Limit for Vanishing Relaxation Time10
Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws9
Modulational Instability in the Ostrovsky Equation and Related Models9
Boundary Layer Solution of the Boltzmann Equation for Diffusive Reflection Boundary Conditions in Half-Space9
Global Existence Analysis of Energy-Reaction-Diffusion Systems9
Kinetic Description of Scalar Conservation Laws with Markovian Data9
On the Global Convergence of Wasserstein Gradient Flow of the Coulomb Discrepancy9
Multiple Normalized Solutions for First Order Hamiltonian Systems9
On Linear Stability of KAM Tori via the Craig–Wayne–Bourgain Method9
Nonlocal Elliptic and Parabolic Equations with General Stable Operators in Weighted Sobolev Spaces9
Regularity Structure of Conservative Solutions to the Hunter--Saxton Equation8
Nonmonotonicity of Principal Eigenvalues in Diffusion Rate for Some Non-Self-Adjoint Operators with Large Advection8
Modified Scattering for Long-Range Hartree Equations of Infinite Rank Near Vacuum8
Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent–McWilliams–Redi Eddy Parametrization Model8
Quasi-linear Fractional-Order Operators in Lipschitz Domains8
On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations8
Boundary-Field Formulation for Transient Electromagnetic Scattering by Dielectric Scatterers and Coated Conductors8
Large-Time Behavior for a Phase-Field System of 3D-Grain Boundary Motion8
Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces8
Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space8
The Compact Support Property for Solutions to the Stochastic Partial Differential Equations with Colored Noise8
Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations8
Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane8
Exponential Stability of Linear Periodic Difference-Delay Equations8
Zero-Dispersion Limit of the Calogero–Moser Derivative NLS Equation8
Uniqueness and Orbital Stability of Standing Waves for the Nonlinear Schrödinger Equation with a Partial Confinement8
Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions8
\(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions8
Uniform Far-Field Asymptotics of the Two-Layered Green Function in Two Dimensions and Application to Wave Scattering in a Two-Layered Medium8
Mean Field Games Systems under Displacement Monotonicity8
Thermo-elastodynamics of Finitely Strained Multipolar Viscous Solids with an Energy-Controlled Stress7
Second-Order Fast-Slow Stochastic Systems7
Threshold Solutions for the Intercritical Inhomogeneous NLS7
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency7
Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods7
Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids7
Weak Random Attractors for the Stochastic Three-Dimensional Navier–Stokes Equations with Multiplicative Noise7
Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$7
Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip7
Trend to Equilibrium and Hypoelliptic Regularity for the Relativistic Fokker–Planck Equation7
Spectral Analysis of the Neumann–Poincaré Operator for Thin Doubly Connected Domains7
Lipschitz Regularity of Graph Laplacians on Random Data Clouds7
Well-posedness and Scattering for the Generalized Boussinesq Equation7
On the Existence and Structures of Almost Axisymmetric Solutions to 3-D Navier–Stokes Equations7
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics7
Crack Nucleation in Shells with Through-the-Thickness Microstructure7
Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System7
Asymptotics and Total Integrals of the \(\textrm{P}_{\textrm I}^2\) Tritronquée Solution and Its Hamiltonian7
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients7
On the Regularity of Solutions to Some Active Scalar Equations on Bounded Domains7
Convergence to Self-Similar Profiles in Reaction-Diffusion Systems7
Lax–Oleinik Formula on Networks7
Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator7
Asymptotic Stability of Solutions to a Hyperbolic-Elliptic Coupled System of Radiating Gas on the Half Line7
Incompressible Limit of a Porous Media Equation with Bistable and Monostable Reaction Term7
Optimal Quantization with Branched Optimal Transport Distances7
Explicit Solution of the 1D Schrödinger Equation7
Renormalization and Existence of Finite-Time Blow-Up Solutions for a One-Dimensional Analogue of the Navier–Stokes Equations6
A Perturbative Approach to the Parabolic Optimal Transport Problem6
Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System6
Nonexistence of Minimal Mass Blow-Up Solution for the 2D Cubic Zakharov–Kuznetsov Equation6
Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations6
An \(\boldsymbol{L^1_{k}\cap L^{p}_{k}}\) Approach for the Non-Cutoff Boltzmann Equation in \(\boldsymbol{\mathbb{R}^3}\)6
Reconstruction of 1D Evolution Equations and their Initial Data from One Passive Measurement6
Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation6
Linearization in Incompatible Elasticity for General Ambient Spaces6
Long-Time Behavior and Stability for Quasilinear Doubly Degenerate Parabolic Equations of Higher Order6
Uniform Bounds and the Inviscid Limit for the Navier–Stokes Equations with Navier Boundary Conditions6
Equivariant Pyragas Control of Discrete Waves6
Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems6
Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions6
Scattering for Nonradial 3D NLS with Combined Nonlinearities: The Interaction Morawetz Approach6
Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number \(\boldsymbol{\gamma}^{\boldsymbol{2}} \boldsymbol{\gt} \frac{\boldsymbol 1}{\boldsymbol 4}\)6
Inertial Manifolds via Spatial Averaging Revisited6
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary6
Instability of Quadratic Band Degeneracies and the Emergence of Dirac Points6
Deterministic Optimal Control on Riemannian Manifolds Under Probability Knowledge of the Initial Condition6
Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form6
The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model6
Bifurcation of Closed Orbits of Hamiltonian Systems with Application to Geodesics of the Schwarzschild Metric6
Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix6
An Inverse Problem for Hypersonic Flow Past a Curved Cone6
The Equations of Extended Magnetohydrodynamics6
Spatial Profiles of a Reaction-Diffusion Epidemic Model with Nonlinear Incidence Mechanism and Constant Total Population6
Large \(\boldsymbol{|k|}\) Behavior for the Reflection Coefficient for Davey-Stewartson II Equations6
Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis6
On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems6
Maximizing Riesz Capacity Ratios: Conjectures and Theorems6
Second Derivative Estimates and Gradient Asymptotics for Closely Located Inclusions in Linear Elasticity6
Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System6
On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields6
Free and Harmonic Trapped Spin-1 Bose–Einstein Condensates in \({{\mathbb{R}}^{3}}\)6
Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen–Leslie Model6
Gradient Regularity for a Class of Widely Degenerate Parabolic Systems5
Subsonic Flows Past a Profile with a Vortex Line at the Trailing Edge5
Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise5
Mild Ill-Posedness for 2D Magneto-Micropolar Fluid Equations Near a Background Magnetic Field5
Optimization of Neumann Eigenvalues Under Convexity and Geometric Constraints5
Global Dynamics to the Periodic Ferromagnetic Spin Chain System5
Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics5
Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations5
Optimal Rigidity Estimates for Maps of a Compact Riemannian Manifold to Itself5
Plasma Echoes Near Stable Penrose Data5
On the Global Well-Posedness and Analyticity of Some Electrodiffusion Models in Ideal Fluids and Porous Media5
Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations5
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy5
Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields5
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients5
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise5
NonLocal Optimized Schwarz Method for the Helmholtz Equation with Physical Boundaries5
Regularization of Stationary Second-Order Mean Field Game Partial Differential Inclusions5
Regular Singular Volterra Equations on Complex Domains5
Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction5
Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited5
Homogenization for Locally Periodic Elliptic Problems on a Domain5
Asymptotics of the Hard Edge Pearcey Determinant5
Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains5
Partial Data Inverse Problem for Hyperbolic Equation with Time-Dependent Damping Coefficient and Potential5
Global \( {H^2}\)-Solutions for the Generalized Derivative NLS on \(\mathbb T\)5
Existence and Asymptotic Behavior for a Lamé System with Time-Dependent Delay and Analytic Nonlinearity5
Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation5
Novel Resolution Analysis for the Radon Transform in \(\mathbb R^2\) for Functions with Rough Edges5
Upper Bound for the Grand Canonical Free Energy of the Bose Gas in the Gross–Pitaevskii Limit5
A McKean--Vlasov SDE and Particle System with Interaction from Reflecting Boundaries5
Formation and Construction of a Multidimensional Shock Wave for the First-Order Hyperbolic Conservation Law with Smooth Initial Data5
Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary5
Nonpower Law Constant Flux Solutions for the Smoluchowski Coagulation Equation5
Supersonic Gravitational Collapse for Nonisentropic Gaseous Stars5
Discrete Approximation of the Griffith Functional by Adaptive Finite Elements5
Nonlocal Double Phase Implicit Obstacle Problems with Multivalued Boundary Conditions5
Hölder Estimates for the Stefan Problem5
Enhanced Dissipation and Transition Threshold for the Poiseuille Flow in a Periodic Strip5
Improved Concentration of Laguerre and Jacobi Ensembles5
Longer Lifespan for Many Solutions of the Kirchhoff Equation5
Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach5
Gradient Estimates for Stokes and Navier--Stokes Systems with Piecewise DMO Coefficients5
The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions4
Defects in Liquid Crystal Flows4
Scattering and Asymptotic Behavior of Solutions to the Vlasov–Poisson System in High Dimension4
Relaxation Time Limits of Subsonic Steady States for Multidimensional Hydrodynamic Model of Semiconductors4
Global Smooth Sonic-Supersonic Flows in a Class of Critical Nozzles4
Global Solutions to 3D Incompressible MHD System with Dissipation in Only One Direction4
On Stability Analysis for Steady States of the Free Boundary Hard Phase Model in General Relativity4
Asymptotically Autonomous Robustness of Random Attractors for 3D BBM Equations Driven by Nonlinear Colored Noise4
On a Model of an Elastic Body Fully Immersed in a Viscous Incompressible Fluid with Small Data4
Central and Noncentral Limit Theorems Arising from the Scattering Transform and Its Neural Activation Generalization4
Existence of Solutions to Reaction Cross Diffusion Systems4
Exponential Mixing by Shear Flows4
Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality in Approximation on Hölder Class4
Boussinesq’s Equation for Water Waves: Asymptotics in Sector V4
New Regularity Results for Scalar Conservation Laws, and Applications to a Source-Destination Model for Traffic Flows on Networks4
Determining a Stationary Mean Field Game System from Full/Partial Boundary Measurement4
NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian4
Existence of Solutions to the Patlak–Keller–Segel–Navier–Stokes System4
Propagation Dynamics for Time-Periodic and Partially Degenerate Reaction-Diffusion Systems4
Global Classical Large Solutions for the Radiation Hydrodynamics Model in Unbounded Domains4
Partial Data Inverse Problems for the Nonlinear Time-Dependent Schrödinger Equation4
On the Global Well-Posedness for the Periodic Quintic Nonlinear Schrödinger Equation4
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements4
A One-Phase Space-Fractional Stefan Problem With No Liquid Initial Domain4
NonMonotonicity of Traveling Wave Profiles for a Unimodal Recursive System4
Lagrangian Solutions to the Porous Media Equation and Reaction Diffusion Systems4
Existence of Rotating Stars with Variable Entropy4
The Mean Field Limit of Stochastic Differential Equation Systems Modeling Grid Cells4
Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach4
The Immersed Inextensible Interface Problem in 2D Stokes Flow4
Globally Analytical Solutions of the Compressible Oldroyd-B Model Without Retardation4
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions4
Suppression of Blow-Up in Multispecies Patlak–Keller–Segel–Navier–Stokes System via the Poiseuille Flow in a Finite Channel4
Erratum: Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting4
Multibump Solutions for Critical Choquard Equation4
Global Euler–Poisson Limit to the Vlasov–Poisson–Boltzmann System with Soft Potential4
On the Optimal Shape of a Thin Insulating Layer4
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