Archive for Rational Mechanics and Analysis

Article	Citations
Benjamin–Feir Instability of Stokes Waves in Finite Depth	91
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	27
Chaotic Phenomena for Generalised N-centre Problems	26
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	26
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	24
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	24
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	23
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	22
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	19
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	19
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	19
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	18
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	18
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	17
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	16
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Partial Regularity for Fractional Harmonic Maps into Spheres	16
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	16
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	16
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	16
Porous Medium Equation with a Drift: Free Boundary Regularity	16
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	15
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	15
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	14
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	14

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

Higher Order Boundary Harnack Principle via Degenerate Equations	8
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	8
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Bold Feynman Diagrams and the Luttinger–Ward Formalism Via Gibbs Measures: Non-perturbative Analysis	7
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	7
Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body	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
The Boltzmann Equation for Uniform Shear Flow	7
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Regularity Structures for Quasilinear Singular SPDEs	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	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
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Regularity for Double Phase Problems at Nearly Linear Growth	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
Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities	6
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	6
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
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	5
A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons	5
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	5
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	5
Large Deviations and Entropy Production in Viscous Fluid Flows	5
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
A New Perspective on Wasserstein Distances for Kinetic Problems	5
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	5
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	5
Local Decay Estimates	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	5
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	5
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	5
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	5
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	5
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	5
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	5
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	5
Stability of Lamb Dipoles	4
The Equality Case in the Substatic Heintze–Karcher Inequality	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	4
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	4
Second Derivatives Estimate of Suitable Solutions to the 3D Navier–Stokes Equations	4
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Geodesic Rays of the N-Body Problem	4
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	4
The Speed of Traveling Waves in a FKPP-Burgers System	4
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
A Hele-Shaw Limit Without Monotonicity	4
Sobolev Gradients for the Möbius Energy	4
The Bernstein Technique for Integro-Differential Equations	4
A Variational Singular Perturbation Problem Motivated by Ericksen’s Model for Nematic Liquid Crystals	4

On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Free Boundary Minimal Annuli Immersed in the Unit Ball	4
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	4
Body-Ordered Approximations of Atomic Properties	4
Nonexistence of Subcritical Solitary Waves	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	4
Correction to: Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	4
On the Stability of Laminar Flows Between Plates	4
The Number of Traveling Wave Families in a Running Water with Coriolis Force	4
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	4
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	4
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	4
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	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
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
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	3
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	3
Localized Big Bang Stability for the Einstein-Scalar Field Equations	3
Global Solutions to the Compressible Euler Equations with Heat Transport by Convection Around Dyson’s Isothermal Affine Solutions	3
Oscillation and Concentration in Sequences of PDE Constrained Measures	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	3
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	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
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Homogenization of Griffith’s Criterion for Brittle Laminates	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	3
Quasilinear Schrödinger Equations III: Large Data and Short Time	3
Nonlinear and Linearized Models in Thermoviscoelasticity	3
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	3
Nematic–Isotropic Phase Transition in Liquid Crystals: A Variational Derivation of Effective Geometric Motions	3
Maximization of Neumann Eigenvalues	3
Spectrum Analysis for the Vlasov–Poisson–Boltzmann System	3
The Feynman–Lagerstrom Criterion for Boundary Layers	3
Regularity of Stationary Boltzmann Equation in Convex Domains	3
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
Invariant Manifolds for the Thin Film Equation	3
Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations	3
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Effective Mass Theorems with Bloch Modes Crossings	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
Variational Worn Stones	3
Infinite-Dimensional Inverse Problems with Finite Measurements	3
Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension $$(n-1)$$ in Reaction–Diffusion Equations as the Speeds Go to Infinity	2
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	2
Building Kohn–Sham Potentials for Ground and Excited States	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
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	2
Sustained Oscillations in Hyperbolic–Parabolic Systems	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	2
Boundary Conditions and Polymeric Drag Reduction for the Navier–Stokes Equations	2
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	2
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	2
Long-Time Behaviour of Time-Dependent Density Functional Theory	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
Time-Harmonic Maxwell’s Equations in Periodic Waveguides	2
On the Critical Point Regularity for Degenerate Diffusive Equations	2
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	2
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	2
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	2
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	2
Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model	2
Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity	2
Limiting Behavior of Minimizing p-Harmonic Maps in 3d as p Goes to 2 with Finite Fundamental Group	2
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	2