Archive for Rational Mechanics and Analysis

Article	Citations
Lipschitz Bounds and Nonautonomous Integrals	63
Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion	44
Transition Threshold for the 2-D Couette Flow in a Finite Channel	32
On Traffic Flow with Nonlocal Flux: A Relaxation Representation	28
The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary	23
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains	23
Traveling Quasi-periodic Water Waves with Constant Vorticity	22
Thermoviscoelasticity in Kelvin–Voigt Rheology at Large Strains	20
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations	19
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	18
Analysis of the Viscosity of Dilute Suspensions Beyond Einstein’s Formula	18
Flocking Hydrodynamics with External Potentials	18
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions	17
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions	17
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves	16
The Nonexistence of Vortices for Rotating Bose–Einstein Condensates with Attractive Interactions	16
Structural Stability of Supersonic Solutions to the Euler–Poisson System	16
Anticipation Breeds Alignment	16
The Bernstein Technique for Integro-Differential Equations	16
Continued Gravitational Collapse for Newtonian Stars	15
Strong Convergence of the Vorticity for the 2D Euler Equations in the Inviscid Limit	15
Stability of Lamb Dipoles	15
A High-Frequency Homogenization Approach Near the Dirac Points in Bubbly Honeycomb Crystals	15
Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics	15
Bounded Solutions of Ideal MHD with Compact Support in Space-Time	15

Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter	15
Decay Estimates of Gradient of a Generalized Oseen Evolution Operator Arising from Time-Dependent Rigid Motions in Exterior Domains	15
Nonlocal-to-Local Convergence of Cahn–Hilliard Equations: Neumann Boundary Conditions and Viscosity Terms	14
Steady Navier–Stokes Equations in Planar Domains with Obstacle and Explicit Bounds for Unique Solvability	14
Global Small Solutions of Heat Conductive Compressible Navier–Stokes Equations with Vacuum: Smallness on Scaling Invariant Quantity	14
Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere	14
Global Invertibility for Orientation-Preserving Sobolev Maps via Invertibility on or Near the Boundary	14
Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three	14
On the Serrin-Type Condition on One Velocity Component for the Navier–Stokes Equations	13
A Quantitative Description of Skyrmions in Ultrathin Ferromagnetic Films and Rigidity of Degree $$\pm \,1$$ Harmonic Maps from $${\mathbb {R}}^2$$ to $${\mathbb {S}}^2$$	13
Decay and Vanishing of some D-Solutions of the Navier–Stokes Equations	13
Minkowski Inequalities via Nonlinear Potential Theory	13
Fluctuations Around a Homogenised Semilinear Random PDE	13
Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds	12
Equilibrium Configurations for Epitaxially Strained Films and Material Voids in Three-Dimensional Linear Elasticity	12
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	12
Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow	12
Uniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets	12
Non uniform Rotating Vortices and Periodic Orbits for the Two-Dimensional Euler Equations	12
Nernst–Planck–Navier–Stokes Systems far from Equilibrium	12
Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities	11
Nonlocal-Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit	11
On the Problem of Maximal $$L^q$$-regularity for Viscous Hamilton–Jacobi Equations	11
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	11
Nonlinear Hyperbolic Waves in Relativistic Gases of Massive Particles with Synge Energy	11
Infinite-Dimensional Inverse Problems with Finite Measurements	11
Weak Solutions to the Muskat Problem with Surface Tension Via Optimal Transport	11
Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space	11
Almost Global Solutions to the Three-Dimensional Isentropic Inviscid Flows with Damping in a Physical Vacuum Around Barenlatt Solutions	11
Exact Constructions in the (Non-linear) Planar Theory of Elasticity: From Elastic Crystals to Nematic Elastomers	11
Stability and Instability of Self-Gravitating Relativistic Matter Distributions	10
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations	10
Global Well-Posedness of 3-D Anisotropic Navier–Stokes System with Small Unidirectional Derivative	10
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations	10
A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons	10
Complete Entropic Inequalities for Quantum Markov Chains	10
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue	10
On Global-in-x Stability of Blasius Profiles	10
Curvature-Driven Wrinkling of Thin Elastic Shells	10
Quasilinear Schrödinger Equations III: Large Data and Short Time	10
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	10
Local Well-Posedness and Incompressible Limit of the Free-Boundary Problem in Compressible Elastodynamics	9
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	9
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	9
Derivation of von Kármán Plate Theory in the Framework of Three-Dimensional Viscoelasticity	9
Viscous Flow Past a Body Translating by Time-Periodic Motion with Zero Average	9
Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation	9
A Hele-Shaw Limit Without Monotonicity	9
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data	9
Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations	9

Crystallization to the Square Lattice for a Two-Body Potential	9
On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases	9
Stability of Multidimensional Thermoelastic Contact Discontinuities	8
Piecewise Smooth Stationary Euler Flows with Compact Support Via Overdetermined Boundary Problems	8
Isodiametry, Variance, and Regular Simplices from Particle Interactions	8
High Frequency Limit for a Chain of Harmonic Oscillators with a Point Langevin Thermostat	8
A Microscopic Model for a One Parameter Class of Fractional Laplacians with Dirichlet Boundary Conditions	8
Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems	8
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	8
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	8
Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints	8
Two-Dimensional Pseudosteady Flows Around a Sharp Corner	8
The Relativistic Quantum Boltzmann Equation Near Equilibrium	8
Carleson Measure Estimates for the Green Function	8
Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals	8
On the Incompressible Limit for the Compressible Free-Boundary Euler Equations with Surface Tension in the Case of a Liquid	8
Screening in the Finite-Temperature Reduced Hartree–Fock Model	8
Anomalous Dissipation in Passive Scalar Transport	8
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	8
The Regularity of Minima for the Dirichlet Problem on BD	8
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	8
Emergence of Rigid Polycrystals from Atomistic Systems with Heitmann–Radin Sticky Disk Energy	7
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	7
Shape Derivative of the Dirichlet Energy for a Transmission Problem	7
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	7
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	7
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	7
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	7
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	7
Rigidity of a Non-elliptic Differential Inclusion Related to the Aviles–Giga Conjecture	7
Higher-Order Linearization and Regularity in Nonlinear Homogenization	7
Torus-like Solutions for the Landau-de Gennes Model. Part I: The Lyuksyutov Regime	7
Regularity of Stationary Boltzmann Equation in Convex Domains	7
Chazy-Type Asymptotics and Hyperbolic Scattering for the n-Body Problem	7
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	7
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	6
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	6
Stabilization of the Linearized Water Tank System	6
Periodic Solutions of Symmetric Hamiltonian Systems	6
Master Equation for the Finite State Space Planning Problem	6
Characterization of Minimizers of Aviles–Giga Functionals in Special Domains	6
Building Kohn–Sham Potentials for Ground and Excited States	6
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	6
A Unified Model for Stress-Driven Rearrangement Instabilities	6
From Steklov to Neumann via homogenisation	6
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	6
Nonexistence of Subcritical Solitary Waves	6
On the Stability of Laminar Flows Between Plates	6
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	6
Linear Vortex Symmetrization: The Spectral Density Function	6
Stationary Non-equilibrium Solutions for Coagulation Systems	6
Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of NLS Type	6
A New Approach to the Rayleigh–Taylor Instability	6
Partially Regular Weak Solutions of the Navier–Stokes Equations in $$\mathbb {R}^4 \times [0,\infty [$$	6
Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	6
A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws	6
Bifurcation of Symmetric Domain Walls for the Bénard–Rayleigh Convection Problem	6
Sobolev Gradients for the Möbius Energy	5
Characterization of Generalized Young Measures Generated by $${\mathcal {A}}$$-free Measures	5
Porous Medium Equation with a Drift: Free Boundary Regularity	5
Global, Local and Dense Non-mixing of the 3D Euler Equation	5
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	5
Boltzmann Equation with Cutoff Rutherford Scattering Cross Section Near Maxwellian	5
Large KAM Tori for Quasi-linear Perturbations of KdV	5
Stability of the Laughlin Phase Against Long-Range Interactions	5
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	5
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	5
Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit	5
Optimal Transportation Between Unequal Dimensions	5
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	5
Darcy’s Law with a Source Term	5
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	5
On the Long-Time Behavior of Dissipative Solutions to Models of Non-Newtonian Compressible Fluids	5
Hard Spheres Dynamics: Weak Vs Strong Collisions	5
Rigidity of Branching Microstructures in Shape Memory Alloys	5
3-D Axisymmetric Transonic Shock Solutions of the Full Euler System in Divergent Nozzles	5
Free Boundary Regularity for Almost Every Solution to the Signorini Problem	5
Uniqueness of Plane Stationary Navier–Stokes Flow Past an Obstacle	5
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	4
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	4

An Existence Theory for Small-Amplitude Doubly Periodic Water Waves with Vorticity	4
Two-Speed Solutions to Non-convex Rate-Independent Systems	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Long Time Dynamics for Combustion in Random Media	4
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	4
Source-Solutions for the Multi-dimensional Burgers Equation	4
Monotone Hopf-Harmonics	4
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	4
Unstable Stokes Waves	4
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	4
Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons	4
Phase-Field Approximation of the Willmore Flow	4
A New Perspective on Wasserstein Distances for Kinetic Problems	4
Oscillation and Concentration in Sequences of PDE Constrained Measures	4
Energy and Large Time Estimates for Nonlinear Porous Medium Flow with Nonlocal Pressure in $$\mathbb {R}^N$$	4
A Priori Bounds for the $$\Phi ^4$$ Equation in the Full Sub-critical Regime	4
Second Derivatives Estimate of Suitable Solutions to the 3D Navier–Stokes Equations	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Cohesive Fracture in 1D: Quasi-static Evolution and Derivation from Static Phase-Field Models	4
On Well-Posedness for General Hierarchy Equations of Gross–Pitaevskii and Hartree Type	4
Thermodynamic Limit of the Transition Rate of a Crystalline Defect	4
Small Knudsen Rate of Convergence to Rarefaction Wave for the Landau Equation	4
Validity of the Nonlinear Schrödinger Approximation for the Two-Dimensional Water Wave Problem With and Without Surface Tension in the Arc Length Formulation	4
The Nonlinear Schrödinger Equation for Orthonormal Functions: Existence of Ground States	4
On the Slightly Perturbed De Gregorio Model on $$S^1$$	4
Topological Singular Set of Vector-Valued Maps, II: $$\varGamma $$-convergence for Ginzburg–Landau type functionals	4
Nonlinear Stability of MHD Contact Discontinuities with Surface Tension	4
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	4
A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent	4
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	4
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	4
Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum	4
Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation	4
Stability and Existence of Stationary Solutions to the Euler–Poisson Equations in a Domain with a Curved Boundary	4
Nematic–Isotropic Phase Transition in Liquid Crystals: A Variational Derivation of Effective Geometric Motions	4
Stationary Structures Near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations	4
Monotone Sobolev Functions in Planar Domains: Level Sets and Smooth Approximation	4
Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body	3
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	3
On $$\varGamma $$-Convergence of a Variational Model for Lithium-Ion Batteries	3
Invariant Measures and Global Well Posedness for the SQG Equation	3
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	3
The Surface Diffusion Flow with Elasticity in Three Dimensions	3
Body-Ordered Approximations of Atomic Properties	3
Small Scale Formations in the Incompressible Porous Media Equation	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
Optimal Design Versus Maximal Monge–Kantorovich Metrics	3
The Boltzmann Equation for Uniform Shear Flow	3
Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
On the Free Surface Motion of Highly Subsonic Heat-Conducting Inviscid Flows	3
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	3
Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form	3
Long-Time Behaviour of Time-Dependent Density Functional Theory	3
The Speed of Traveling Waves in a FKPP-Burgers System	3
Energy Minimisers with Prescribed Jacobian	3
$$\Gamma $$-Limit for Two-Dimensional Charged Magnetic Zigzag Domain Walls	3
The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis	3
Large Deviations and Entropy Production in Viscous Fluid Flows	3
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models	3
Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold	3
Hyperbolic Solutions to Bernoulli’s Free Boundary Problem	3
Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island	3
Global Solutions to the Compressible Euler Equations with Heat Transport by Convection Around Dyson’s Isothermal Affine Solutions	3
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	3
Correction to: The Landau Equation with the Specular Reflection Boundary Condition	3
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	3
On the Uniqueness of Co-circular Four Body Central Configurations	3
Partial Regularity for Fractional Harmonic Maps into Spheres	3
Homogenization of Liouville Equations Beyond a Stationary Ergodic Setting	3
Asymptotic Expansion of the Elastic Far-Field of a Crystalline Defect	3
Benjamin–Feir Instability of Stokes Waves in Finite Depth	3
Surface Concentration of Transmission Eigenfunctions	3
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	3
A Comparison Estimate for Singular p-Laplace Equations and Its Consequences	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Smooth Controllability of the Navier–Stokes Equation with Navier Conditions: Application to Lagrangian Controllability	3
On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System	3
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	3
Regularity for Double Phase Problems at Nearly Linear Growth	3
Nonlinear and Linearized Models in Thermoviscoelasticity	3