Archive for Rational Mechanics and Analysis

Article	Citations
Benjamin–Feir Instability of Stokes Waves in Finite Depth	92
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	31
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	27
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	26
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	25
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	25
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	24
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	24
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	19
Chaotic Phenomena for Generalised N-centre Problems	19
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	19
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	18
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	17
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	17
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	16
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	16
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Partial Regularity for Fractional Harmonic Maps into Spheres	16
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	15
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	15
Porous Medium Equation with a Drift: Free Boundary Regularity	15
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	15
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	15

Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	15
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	14
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	14
Recovery of Coefficients in Semilinear Transport Equations	14
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form	13
Viscous Shock Solutions to the Stochastic Burgers Equation	13
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	13
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	13
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	12
Calogero Type Bounds in Two Dimensions	12
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	12
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	12
The Gradient Flow for Entropy on Closed Planar Curves	11
Minkowski Inequalities via Nonlinear Potential Theory	11
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	11
Grand-Canonical Optimal Transport	11
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	11
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	11
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	10
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
On the Existence of Linearly Oscillating Galaxies	10
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	10
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	10
Coagulation Equations for Non-spherical Clusters	9
Energy Minimisers with Prescribed Jacobian	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	9
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
Conducting Flat Drops in a Confining Potential	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	9
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	9
Bold Feynman Diagrams and the Luttinger–Ward Formalism via Gibbs Measures: Perturbative Approach	8
Regularity and Nondegeneracy for Tumor Growth with Nutrients	8
The Boltzmann Equation for Uniform Shear Flow	8

Higher Order Boundary Harnack Principle via Degenerate Equations	8
The Rayleigh–Bénard Problem for Compressible Fluid Flows	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	8
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	8
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Characterization of Generalized Young Measures Generated by $${\mathcal {A}}$$-free Measures	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Bold Feynman Diagrams and the Luttinger–Ward Formalism Via Gibbs Measures: Non-perturbative Analysis	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	7
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	6
Regularity Structures for Quasilinear Singular SPDEs	6
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	6
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	6
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	6
Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body	6
A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Local Decay Estimates	5
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	5
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	5
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	5
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	5
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	5
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	5
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	5
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	5
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	5
Convergence of Deterministic Growth Models	5
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	5
A New Perspective on Wasserstein Distances for Kinetic Problems	5
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	5
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	5
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	5
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	5
Correction to: Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	4
Quasilinear Schrödinger Equations III: Large Data and Short Time	4
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	4
Invariant Manifolds for the Thin Film Equation	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	4
Body-Ordered Approximations of Atomic Properties	4
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
A Hele-Shaw Limit Without Monotonicity	4
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	4
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	4
The Bernstein Technique for Integro-Differential Equations	4

The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	4
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	4
Stability of Lamb Dipoles	4
The Equality Case in the Substatic Heintze–Karcher Inequality	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
The Number of Traveling Wave Families in a Running Water with Coriolis Force	4
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	4
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	4
Sobolev Gradients for the Möbius Energy	4
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	4
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	4
On the Stability of Laminar Flows Between Plates	4
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	4
Geodesic Rays of the N-Body Problem	4
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	4
Free Boundary Minimal Annuli Immersed in the Unit Ball	4
Localized Big Bang Stability for the Einstein-Scalar Field Equations	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
Topological Singular Set of Vector-Valued Maps, II: $$\varGamma $$-convergence for Ginzburg–Landau type functionals	3
Infinite-Dimensional Inverse Problems with Finite Measurements	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Regularity of Stationary Boltzmann Equation in Convex Domains	3
Maximization of Neumann Eigenvalues	3
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	3
Correction to: Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	3
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	3
The Feynman–Lagerstrom Criterion for Boundary Layers	3
Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension $$(n-1)$$ in Reaction–Diffusion Equations as the Speeds Go to Infinity	3
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	3
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	3
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	3
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design	3
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
Effective Mass Theorems with Bloch Modes Crossings	3
Oscillation and Concentration in Sequences of PDE Constrained Measures	3
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	3
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	3
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
Nematic–Isotropic Phase Transition in Liquid Crystals: A Variational Derivation of Effective Geometric Motions	3
Homogenization of Griffith’s Criterion for Brittle Laminates	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Variational Worn Stones	3
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	3
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Boundary Conditions and Polymeric Drag Reduction for the Navier–Stokes Equations	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	3
Observability for Heat Equations with Time-Dependent Analytic Memory	2
Geometric Hydrodynamics in Open Problems	2
Limiting Behavior of Minimizing p-Harmonic Maps in 3d as p Goes to 2 with Finite Fundamental Group	2
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	2
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	2
Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels	2
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	2
Navigating the Complex Landscape of Shock Filter Cahn–Hilliard Equation: From Regularized to Entropy Solutions	2
Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	2
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
On the Critical Point Regularity for Degenerate Diffusive Equations	2
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	2
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
Stable Singularity Formation for the Keller–Segel System in Three Dimensions	2
Phase-Field Approximation of the Willmore Flow	2
On the collapse of the local Rayleigh condition for the hydrostatic Euler equations and the finite time blow-up of the semi-Lagrangian equations	2
Highest Cusped Waves for the Burgers–Hilbert Equation	2
On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl	2
Variational Aspects of the Two-Center Problem	2
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	2
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	2
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index	2
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations	2
Complete Entropic Inequalities for Quantum Markov Chains	2
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Stefan Problem with Surface Tension: Uniqueness of Physical Solutions under Radial Symmetry	2
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2