Archive for Rational Mechanics and Analysis

Article	Citations
Lipschitz Bounds and Nonautonomous Integrals	74
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains	29
Traveling Quasi-periodic Water Waves with Constant Vorticity	26
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	25
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations	23
The Bernstein Technique for Integro-Differential Equations	21
Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics	20
Anticipation Breeds Alignment	20
Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter	20
Complete Entropic Inequalities for Quantum Markov Chains	19
Structural Stability of Supersonic Solutions to the Euler–Poisson System	19
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions	19
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves	19
Strong Convergence of the Vorticity for the 2D Euler Equations in the Inviscid Limit	18
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions	18
Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds	16
Stability of Lamb Dipoles	16
Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities	15
Infinite-Dimensional Inverse Problems with Finite Measurements	15
On the Serrin-Type Condition on One Velocity Component for the Navier–Stokes Equations	15
Minkowski Inequalities via Nonlinear Potential Theory	15
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	15
On the Problem of Maximal $$L^q$$-regularity for Viscous Hamilton–Jacobi Equations	14
Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere	14
Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space	14

Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	14
Nonlocal-Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit	13
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	13
A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons	13
Nernst–Planck–Navier–Stokes Systems far from Equilibrium	13
Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints	12
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	12
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations	12
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	12
Stability and Instability of Self-Gravitating Relativistic Matter Distributions	12
A Hele-Shaw Limit Without Monotonicity	12
Curvature-Driven Wrinkling of Thin Elastic Shells	11
Nonlinear Hyperbolic Waves in Relativistic Gases of Massive Particles with Synge Energy	11
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations	11
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	11
Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations	11
Quasilinear Schrödinger Equations III: Large Data and Short Time	11
Anomalous Dissipation in Passive Scalar Transport	11
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	11
Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems	11
A New Approach to the Rayleigh–Taylor Instability	10
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue	10
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	10
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	10
On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases	10
Two-Dimensional Pseudosteady Flows Around a Sharp Corner	10
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	10
Piecewise Smooth Stationary Euler Flows with Compact Support Via Overdetermined Boundary Problems	10
Free Boundary Regularity for Almost Every Solution to the Signorini Problem	9
Nonuniqueness and Existence of Continuous, Globally Dissipative Euler Flows	9
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	9
Master Equation for the Finite State Space Planning Problem	9
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	9
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	9
Crystallization to the Square Lattice for a Two-Body Potential	9
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	9
Local Well-Posedness and Incompressible Limit of the Free-Boundary Problem in Compressible Elastodynamics	9
Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation	9
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	9
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	9
Stabilization of the Linearized Water Tank System	8
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	8
The Relativistic Quantum Boltzmann Equation Near Equilibrium	8
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	8
Isodiametry, Variance, and Regular Simplices from Particle Interactions	8
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	8
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	8
Stationary Non-equilibrium Solutions for Coagulation Systems	8
Carleson Measure Estimates for the Green Function	8
Emergence of Rigid Polycrystals from Atomistic Systems with Heitmann–Radin Sticky Disk Energy	7

Large KAM Tori for Quasi-linear Perturbations of KdV	7
Regularity of Stationary Boltzmann Equation in Convex Domains	7
Partially Regular Weak Solutions of the Navier–Stokes Equations in $$\mathbb {R}^4 \times [0,\infty [$$	7
Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of NLS Type	7
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	7
Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	7
Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum	7
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	7
Nonlinear Stability of MHD Contact Discontinuities with Surface Tension	7
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	7
Nonexistence of Subcritical Solitary Waves	7
Characterization of Generalized Young Measures Generated by $${\mathcal {A}}$$-free Measures	7
Porous Medium Equation with a Drift: Free Boundary Regularity	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Nematic–Isotropic Phase Transition in Liquid Crystals: A Variational Derivation of Effective Geometric Motions	7
Regularity for Double Phase Problems at Nearly Linear Growth	7
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Darcy’s Law with a Source Term	7
Sobolev Gradients for the Möbius Energy	7
On the Stability of Laminar Flows Between Plates	7
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	7
Rigidity of Branching Microstructures in Shape Memory Alloys	6
A Comparison Estimate for Singular p-Laplace Equations and Its Consequences	6
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	6
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	6
Bifurcation of Symmetric Domain Walls for the Bénard–Rayleigh Convection Problem	6
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	6
Hard Spheres Dynamics: Weak Vs Strong Collisions	6
The Nonlinear Schrödinger Equation for Orthonormal Functions: Existence of Ground States	6
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	6
On the Slightly Perturbed De Gregorio Model on $$S^1$$	6
Oscillation and Concentration in Sequences of PDE Constrained Measures	6
Geometric Hydrodynamics in Open Problems	6
Characterization of Minimizers of Aviles–Giga Functionals in Special Domains	6
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	6
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	6
Stationary Structures Near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations	6
Unstable Stokes Waves	6
From Steklov to Neumann via homogenisation	6
Topological Singular Set of Vector-Valued Maps, II: $$\varGamma $$-convergence for Ginzburg–Landau type functionals	6
A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws	6
Building Kohn–Sham Potentials for Ground and Excited States	6
On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System	6
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	6
Cohesive Fracture in 1D: Quasi-static Evolution and Derivation from Static Phase-Field Models	5
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality	5
Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island	5
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	5
Smooth Controllability of the Navier–Stokes Equation with Navier Conditions: Application to Lagrangian Controllability	5
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	5
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	5
Alexandrov’s Theorem for Anisotropic Capillary Hypersurfaces in the Half-Space	5
A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent	5
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	5
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	5
Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems	5
Surface Concentration of Transmission Eigenfunctions	5
3-D Axisymmetric Transonic Shock Solutions of the Full Euler System in Divergent Nozzles	5
Linear Stability of Solitary Waves for the Isothermal Euler–Poisson System	5
Uniqueness of Plane Stationary Navier–Stokes Flow Past an Obstacle	5
Volumetric Theory of Intermittency in Fully Developed Turbulence	5
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	5
On the Long-Time Behavior of Dissipative Solutions to Models of Non-Newtonian Compressible Fluids	5
Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones	5
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	5
The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis	5
Optimal Design Versus Maximal Monge–Kantorovich Metrics	5
Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit	5
Boltzmann Equation with Cutoff Rutherford Scattering Cross Section Near Maxwellian	5
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	5
A Priori Bounds for the $$\Phi ^4$$ Equation in the Full Sub-critical Regime	5
Nonlinear and Linearized Models in Thermoviscoelasticity	5
Long-Time Behaviour of Time-Dependent Density Functional Theory	4
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Symbolic Dynamics for the Anisotropic N-Centre Problem at Negative Energies	4
Symmetrization for Fractional Elliptic Problems: A Direct Approach	4
Small Knudsen Rate of Convergence to Rarefaction Wave for the Landau Equation	4
A New Perspective on Wasserstein Distances for Kinetic Problems	4

Phase-Field Approximation of the Willmore Flow	4
Two-Speed Solutions to Non-convex Rate-Independent Systems	4
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Small Data Global Well-Posedness for a Boltzmann Equation via Bilinear Spacetime Estimates	4
Benjamin–Feir Instability of Stokes Waves in Finite Depth	4
Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation	4
Which Measure-Valued Solutions of the Monoatomic Gas Equations are Generated by Weak Solutions?	4
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	4
Global Solutions to the Compressible Euler Equations with Heat Transport by Convection Around Dyson’s Isothermal Affine Solutions	4
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	4
Second Derivatives Estimate of Suitable Solutions to the 3D Navier–Stokes Equations	4
Regularity of Solutions to the Muskat Equation	4
Long Time Dynamics for Combustion in Random Media	4
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	4
Invariant Measures and Global Well Posedness for the SQG Equation	4
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	4
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	4
Singularities and unsteady separation for the inviscid two-dimensional Prandtl system	4
$$\Gamma $$-Limit for Two-Dimensional Charged Magnetic Zigzag Domain Walls	3
Global Bifurcation and Highest Waves on Water of Finite Depth	3
Energy Minimisers with Prescribed Jacobian	3
Invariant Forms in Hybrid and Impact Systems and a Taming of Zeno	3
Uniform Stabilization of 3D Navier–Stokes Equations in Low Regularity Besov Spaces with Finite Dimensional, Tangential-Like Boundary, Localized Feedback Controllers	3
On the Free Surface Motion of Highly Subsonic Heat-Conducting Inviscid Flows	3
Body-Ordered Approximations of Atomic Properties	3
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	3
Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form	3
Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body	3
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	3
The Speed of Traveling Waves in a FKPP-Burgers System	3
Higher Order Boundary Harnack Principle via Degenerate Equations	3
Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold	3
Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential	3
Asymptotic Expansion of the Elastic Far-Field of a Crystalline Defect	3
Small Scale Formations in the Incompressible Porous Media Equation	3
Hyperbolic Solutions to Bernoulli’s Free Boundary Problem	3
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	3
Large Deviations and Entropy Production in Viscous Fluid Flows	3
Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches	3
On the Uniqueness of Co-circular Four Body Central Configurations	3
Vanishing Diffusion Limits and Long Time Behaviour of a Class of Forced Active Scalar Equations	3
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	3
Partial Regularity for Fractional Harmonic Maps into Spheres	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	3
Cut Locus on Compact Manifolds and Uniform Semiconcavity Estimates for a Variational Inequality	3
On the Existence of Linearly Oscillating Galaxies	3
Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities	3
Discrete-to-Continuum Convergence of Charged Particles in 1D with Annihilation	3
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	3
The Boltzmann Equation for Uniform Shear Flow	3
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	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
Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	3
Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization	2
First Integrals and Symmetries of Nonholonomic Systems	2
Hypocoercivity and Reaction-Diffusion Limit for a Nonlinear Generation-Recombination Model	2
A Near-Optimal Rate of Periodic Homogenization for Convex Hamilton–Jacobi Equations	2
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	2
Weak Limit of Homeomorphisms in $$W^{1,n-1}$$ and (INV) Condition	2
Correction to: The Landau Equation with the Specular Reflection Boundary Condition	2
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	2
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	2
Mathematical Foundations of the Non-Hermitian Skin Effect	2
On Non-uniqueness of Continuous Entropy Solutions to the Isentropic Compressible Euler Equations	2
Variational Aspects of the Two-Center Problem	2
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	2
Extremal Functions for Morrey’s Inequality	2
Space Quasi-Periodic Steady Euler Flows Close to the Inviscid Couette Flow	2
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	2
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	2
On the Regularity of Non-scattering Anisotropic Inhomogeneities	2
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	2
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	2
Arnold Tongues in Area-Preserving Maps	2
Controllability and Ergodicity of three dimensional Primitive Equations Driven by a Finite-Dimensional Force	2
Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity	2
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	2
Functions with Bounded Hessian–Schatten Variation: Density, Variational, and Extremality Properties	2
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane	2
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	2
On the Regularity of Optimal Transports Between Degenerate Densities	2
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	2
Correction to: Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	2
Particle Approximation of the BGK Equation	2
Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation	2
Surface Energy and Boundary Layers for a Chain of Atoms at Low Temperature	2
Boundary Unique Continuation on $$C^1$$-Dini Domains and the Size of the Singular Set	2
In the Self-Contact Problem in Nonlinear Elasticity	2
Viscous Shock Solutions to the Stochastic Burgers Equation	2
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	2
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	2
Weyl’s Law for the Steklov Problem on Surfaces with Rough Boundary	2
Maximization of Neumann Eigenvalues	2
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	2