SIAM Journal on Mathematical Analysis

Papers
(The TQCC of SIAM Journal on Mathematical Analysis is 5. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations52
Global Solvability and Vanishing Shear Viscosity Limit for a Simplified Compressible Navier--Stokes System with Temperature-Dependent Viscosity50
Optimizing the Ground-State Energy of a Robin Laplacian: Asymptotic Behavior40
Small Scales in Inviscid Limits of Steady Fluids37
Smoluchowski Coagulation Equation with Velocity Dependence30
The Hasimoto Transformation for a Finite Length Vortex Filament and its Application30
Static Solutions to the Spherically Symmetric Einstein–Vlasov System: A Particle Number–Casimir Approach27
\({\boldsymbol{{L}^{1}}}\)-Gradient Flow of Convex Functionals26
Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation24
Local Existence for the Landau Equation with Hard Potentials24
Nonlinear Inverse Optimal Transport: Identifiability of the Transport Cost from Its Marginals and Optimal Values24
Sharp Nonuniqueness of Solutions to Stochastic Navier–Stokes Equations24
Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials23
Stability for Time-Domain Elastic Wave Equations23
The Hot Spots Conjecture for Some Non-Convex Polygons23
$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers21
Effective Fronts of Polygon Shapes in Two Dimensions21
A Bourgain–Brezis–Mironescu Formula Accounting for Nonlocal Antisymmetric Exchange Interactions20
Time Analyticity for Nonlocal Parabolic Equations20
Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations20
Mixing, Enhanced Dissipation, and Phase Transition in the Kinetic Vicsek Model19
Inverse Scattering for the Biharmonic Wave Equation with a Random Potential18
Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations16
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides16
Ramified Optimal Transportation with Payoff on the Boundary15
On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations15
Propagating Terrace in a Two-Tubes Model of Gravitational Fingering15
Unpredictable Behavior of a Partially Damped System of PDEs Modeling Suspension Bridges15
Linearized Optimal Transport on Manifolds14
Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case14
Interface Conditions for Maxwell’s Equations by Homogenization of Thin Inclusions: Transmission, Reflection, or Polarization14
On Fractional Benney Type Systems14
Global Regular Solutions for one-dimensional Degenerate Compressible Navier--Stokes Equations with Large Data and Far Field Vacuum14
The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization13
A Bayesian Model for Dynamic Mass Reconstruction from PET Listmode Data13
Local Nonuniqueness for Stochastic Transport Equations with Deterministic Drift13
Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy13
Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients13
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations13
Quantitative Coarse-Graining of Markov Chains12
On an Obstacle Problem for the Brakke Flow with a Generalized Right-Angle Boundary Condition12
Transporting a Dirac Mass in a Mean Field Planning Problem12
Traceability of Water Pollution: An Inversion Scheme via Dynamic Complex Geometrical Optics Solutions12
A Diffuse-Interface Landau–de Gennes Model for Free Boundary Problems in the Theory of Nematic Liquid Crystals12
Stochastic Differential Equations with Low Regularity Growing Drifts and Applications12
Large-Time Behavior of Composite Waves of Viscous Shocks for the Barotropic Navier–Stokes Equations12
On the Convergence from Boltzmann to Navier–Stokes–Fourier for General Initial Data12
Interacting Phase Fields Yielding Phase Separation on Surfaces12
Infinite-Dimensional Hamilton–Jacobi Equations for Statistical Inference on Sparse Graphs12
Convergence Rates in the Nonrelativistic Limit of the Cubic Klein–Gordon Equation12
The Laplacian with Complex Magnetic Fields11
Optimal Control of a Nonlinear Kinetic Fokker–Planck Equation11
Uniform Estimates for Transmission Problems in Electromagnetism with High Contrast in Magnetic Permeabilities11
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach11
Asymptotics for Minimizers of Landau–de Gennes with a Magnetic Field and Tangential Anchoring11
Semidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function Method11
The Inverse Scattering Transform and Analyticity of Symmetric Solutions for the Integrable Nonlinear Schrödinger Equations11
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces11
Quantifying the Dissipation Enhancement of Cellular Flows11
Well-Posedness and Asymptotic Stability of Solutions for the Incompressible Toner–Tu Model11
Information Bounds for Inference in Stochastic Evolution Equations Observed Under Noise10
Long-Time Asymptotics of the Sawada–Kotera Equation on the Line10
Long Time Dynamics for Helical Vortex Filament in Euler Flows10
Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws10
A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces10
The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity10
The Westervelt–Pennes–Cattaneo Model of Nonlinear Thermo–Acoustics: Local Well–Posedness and Singular Limit for Vanishing Relaxation Time10
Global Well-Posedness and Regularity of Weak Solutions to the Prandtl’s System10
The Convergence Rate of Vanishing Viscosity Approximations for Mean Field Games10
Approximations of Interface Topological Invariants10
On the Equilibriation of Chemical Reaction-Diffusion Systems with Degenerate Reactions10
The Isoperimetric Inequality for Partial Sums of Toeplitz Eigenvalues in the Fock Space10
Random Switching in an Ecosystem with Two Prey and One Predator10
On Linear Stability of KAM Tori via the Craig–Wayne–Bourgain Method9
Large-Time Behavior for a Phase-Field System of 3D-Grain Boundary Motion9
Nonlocal Elliptic and Parabolic Equations with General Stable Operators in Weighted Sobolev Spaces9
Inf-Sup Theory for the Quasi-Static Biot’s Equations in Poroelasticity9
Comparison Between Solutions to the Linear Peridynamics Model and Solutions to the Classical Wave Equation9
Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space9
Kinetic Description of Scalar Conservation Laws with Markovian Data9
Modulational Instability in the Ostrovsky Equation and Related Models9
Slow Patterns in Multilayer Dislocation Evolution with Dynamic Boundary Conditions9
On the Global Convergence of Wasserstein Gradient Flow of the Coulomb Discrepancy9
Folded Isometric Immersions9
Modified Scattering for Long-Range Hartree Equations of Infinite Rank Near Vacuum9
Nonmonotonicity of Principal Eigenvalues in Diffusion Rate for Some Non-Self-Adjoint Operators with Large Advection9
Hall–MHD System as a Simplified One-Fluid Ion Model Derived from Two-Fluid Euler–Maxwell Equations9
Asymptotic Fractional Uncertainty Principle for the Helmholtz Equation with Periodic Scattering Data9
Uniqueness and Orbital Stability of Standing Waves for the Nonlinear Schrödinger Equation with a Partial Confinement9
Multiple Normalized Solutions for First Order Hamiltonian Systems8
Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces8
Zero-Dispersion Limit of the Calogero–Moser Derivative NLS Equation8
Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids8
Quasi-linear Fractional-Order Operators in Lipschitz Domains8
Lax–Oleinik Formula on Networks8
\(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions8
Crack Nucleation in Shells with Through-the-Thickness Microstructure8
Threshold Solutions for the Intercritical Inhomogeneous NLS8
On the Existence and Structures of Almost Axisymmetric Solutions to 3-D Navier–Stokes Equations8
Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations8
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics8
Exponential Stability of Linear Periodic Difference-Delay Equations8
The Compact Support Property for Solutions to the Stochastic Partial Differential Equations with Colored Noise8
Well-posedness and Scattering for the Generalized Boussinesq Equation8
Convergence to Self-Similar Profiles in Reaction-Diffusion Systems8
Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane8
Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods8
Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis7
Maximizing Riesz Capacity Ratios: Conjectures and Theorems7
Instability of Quadratic Band Degeneracies and the Emergence of Dirac Points7
Optimal Quantization with Branched Optimal Transport Distances7
Spectral Analysis of the Neumann–Poincaré Operator for Thin Doubly Connected Domains7
Mean Field Games Systems under Displacement Monotonicity7
Uniform Far-Field Asymptotics of the Two-Layered Green Function in Two Dimensions and Application to Wave Scattering in a Two-Layered Medium7
Nonexistence of Minimal Mass Blow-Up Solution for the 2D Cubic Zakharov–Kuznetsov Equation7
Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form7
Incompressible Limit of a Porous Media Equation with Bistable and Monostable Reaction Term7
Trend to Equilibrium and Hypoelliptic Regularity for the Relativistic Fokker–Planck Equation7
An \(\boldsymbol{L^1_{k}\cap L^{p}_{k}}\) Approach for the Non-Cutoff Boltzmann Equation in \(\boldsymbol{\mathbb{R}^3}\)7
Second Derivative Estimates and Gradient Asymptotics for Closely Located Inclusions in Linear Elasticity7
Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations7
Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip7
On the Regularity of Solutions to Some Active Scalar Equations on Bounded Domains7
Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator7
Uniform Estimates of Landau–de Gennes Minimizers in the Vanishing Elasticity Limit with Line Defects7
Weak Random Attractors for the Stochastic Three-Dimensional Navier–Stokes Equations with Multiplicative Noise7
Thermo-elastodynamics of Finitely Strained Multipolar Viscous Solids with an Energy-Controlled Stress7
Explicit Solution of the 1D Schrödinger Equation7
On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems7
Linearization in Incompatible Elasticity for General Ambient Spaces7
Deterministic Optimal Control on Riemannian Manifolds Under Probability Knowledge of the Initial Condition7
Asymptotics and Total Integrals of the \(\textrm{P}_{\textrm I}^2\) Tritronquée Solution and Its Hamiltonian7
Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent–McWilliams–Redi Eddy Parametrization Model7
Boundary-Field Formulation for Transient Electromagnetic Scattering by Dielectric Scatterers and Coated Conductors7
Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System7
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency7
Reconstruction of 1D Evolution Equations and their Initial Data from One Passive Measurement7
Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary7
Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise6
Free and Harmonic Trapped Spin-1 Bose–Einstein Condensates in \({{\mathbb{R}}^{3}}\)6
Equivariant Pyragas Control of Discrete Waves6
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy6
Bifurcation of Closed Orbits of Hamiltonian Systems with Application to Geodesics of the Schwarzschild Metric6
Uniform Bounds and the Inviscid Limit for the Navier–Stokes Equations with Navier Boundary Conditions6
Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System6
Spatial Profiles of a Reaction-Diffusion Epidemic Model with Nonlinear Incidence Mechanism and Constant Total Population6
Existence and Asymptotic Behavior for a Lamé System with Time-Dependent Delay and Analytic Nonlinearity6
Novel Resolution Analysis for the Radon Transform in \(\mathbb R^2\) for Functions with Rough Edges6
Partial Data Inverse Problem for Hyperbolic Equation with Time-Dependent Damping Coefficient and Potential6
Improved Concentration of Laguerre and Jacobi Ensembles6
Global \( {H^2}\)-Solutions for the Generalized Derivative NLS on \(\mathbb T\)6
Discrete Approximation of the Griffith Functional by Adaptive Finite Elements6
Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields6
The Bogoliubov–Bose–Hubbard Model: Existence of Minimizers and Absence of Quantum Phase Transition6
Scattering for Nonradial 3D NLS with Combined Nonlinearities: The Interaction Morawetz Approach6
Asymptotics of the Hard Edge Pearcey Determinant6
Renormalization and Existence of Finite-Time Blow-Up Solutions for a One-Dimensional Analogue of the Navier–Stokes Equations6
The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model6
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
Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions6
Large \(\boldsymbol{|k|}\) Behavior for the Reflection Coefficient for Davey-Stewartson II Equations6
Optimization of Neumann Eigenvalues Under Convexity and Geometric Constraints6
Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise6
The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients6
Existence, Regularity, and Stability in a Strongly Degenerate Nonlinear Diffusion and Haptotaxis Model of Cancer Invasion6
The Equations of Extended Magnetohydrodynamics6
Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach6
Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations6
Initial-Boundary Value Problems for Poiseuille Flow of Nematic Liquid Crystal via Full Ericksen–Leslie Model6
Long-Time Behavior and Stability for Quasilinear Doubly Degenerate Parabolic Equations of Higher Order6
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients6
Second-Order Fast-Slow Stochastic Systems6
Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation6
A Perturbative Approach to the Parabolic Optimal Transport Problem6
An Inverse Problem for Hypersonic Flow Past a Curved Cone6
NonLocal Optimized Schwarz Method for the Helmholtz Equation with Physical Boundaries6
Enhanced Dissipation and Transition Threshold for the Poiseuille Flow in a Periodic Strip6
Cost of Controllability of the Burgers Equation Linearized at a Steady Shock in the Vanishing Viscosity Limit5
Convergence of Thresholding Energies for Anisotropic Mean Curvature Flow on Inhomogeneous Obstacle5
Nonlocal Functionals, Total Variation, and \(\Gamma\)-Convergence with Respect to Area-Strict Convergence5
Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics5
No Anomalous Dissipation in Two-Dimensional Incompressible Fluids5
Exponential Mixing for Hamiltonian Shear Flow5
Gradient Regularity for a Class of Widely Degenerate Parabolic Systems5
Symmetry of Periodic Traveling Waves for Nonlocal Dispersive Equations5
The Calderón Problem for Space-Time Fractional Parabolic Operators with Variable Coefficients5
Nonlinear Multidomain Model for Nerve Bundles with Random Structure5
Global Euler–Poisson Limit to the Vlasov–Poisson–Boltzmann System with Soft Potential5
Curvature Effects in Pattern Formation: Well-Posedness and Optimal Control of a Sixth-Order Cahn–Hilliard Equation5
Global Existence of Large Solution to the Isothermal Compressible Navier–Stokes Equations with Degenerate Viscosity and Vacuum5
Local Well-Posedness for a Novel Nonlocal Model for Cell-Cell Adhesion via Receptor Binding5
Diffusive Limit of Random Walks on Tessellations via Generalized Gradient Flows5
Supersonic Gravitational Collapse for Nonisentropic Gaseous Stars5
Well-Posedness of an Integro-Differential Model for Active Brownian Particles5
Homogenization for Locally Periodic Elliptic Problems on a Domain5
Global Dynamics to the Periodic Ferromagnetic Spin Chain System5
Sharp Rates of Decay and Global-in-Time Stability of Large Solutions to The Three-Dimensional Incompressible Phan-Thien–Tanner System of Polymeric Flows5
Mild Ill-Posedness for 2D Magneto-Micropolar Fluid Equations Near a Background Magnetic Field5
An Inverse Boundary Value Problem Arising in Nonlinear Acoustics5
Upper Bound for the Grand Canonical Free Energy of the Bose Gas in the Gross–Pitaevskii Limit5
Hölder Estimates for the Stefan Problem5
Regular Singular Volterra Equations on Complex Domains5
Global Existence and Optimal Time-Decay Rates of the Compressible Navier–Stokes–Euler System5
An Optimal Transport Analogue of the Rudin–Osher–Fatemi Model and Its Corresponding Multiscale Theory5
Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction5
Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems5
Regularization of Stationary Second-Order Mean Field Game Partial Differential Inclusions5
Stability Estimate for an Inverse Problem for the Time Harmonic Magnetic Schrödinger Operator from the Near and Far Field Patterns5
Entropy Estimate for Degenerate SDEs with Applications to Nonlinear Kinetic Fokker–Planck Equations5
Diffusive Limit of the One-Species Vlasov–Maxwell–Boltzmann System for Cutoff Hard Potentials5
The Vanishing Diffusion Limit for an Oldroyd-B Model in \(\mathbb{R}^{2}_{+}\)5
Nonpower Law Constant Flux Solutions for the Smoluchowski Coagulation Equation5
Short-Time Existence and Uniqueness for Some Infinite-Dimensional Nash Systems5
On Poincaré Constants Related to Isoperimetric Problems in Convex Bodies5
How to Construct Explicit Decay Rates for Kinetic Fokker–Planck Equations?5
On the Global Well-Posedness and Analyticity of Some Electrodiffusion Models in Ideal Fluids and Porous Media5
Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary5
Nonlocal Double Phase Implicit Obstacle Problems with Multivalued Boundary Conditions5
Global Solvability and Stability of an Alarm-Taxis System5
Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle5
The Stability Threshold for 3D MHD Equations Around Couette with Rationally Aligned Magnetic Field5
Optimal Rigidity Estimates for Maps of a Compact Riemannian Manifold to Itself5
The Linearized Monotonicity Method for Elastic Waves and the Separation of Material Parameters5
Acoustic Cavitation using Resonating MicroBubbles: Analysis in the Time-Domain5
Fundamental Solutions to Kolmogorov–Fokker–Planck Equations with Rough Coefficients: Existence, Uniqueness, Upper Estimates5
Image Resizing by Neural Network Operators and their Convergence Rate with Respect to the \(\boldsymbol{L}\)\(^{p}\)-norm and the Dissimilarity Index Defined through the Continuous SSIM5
Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations5
0.094567060470581