Archive for Rational Mechanics and Analysis

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	96
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	29
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	29
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	28
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	27
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	26
Chaotic Phenomena for Generalised N-centre Problems	21
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	19
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	19
Benjamin–Feir Instability of Stokes Waves in Finite Depth	19
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	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 Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	17
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	17
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	16
Partial Regularity for Fractional Harmonic Maps into Spheres	16
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	16
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	16
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	16
Porous Medium Equation with a Drift: Free Boundary Regularity	16
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	15

Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
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
Viscous Shock Solutions to the Stochastic Burgers Equation	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
Recovery of Coefficients in Semilinear Transport Equations	14
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	13
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	13
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	13
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	13
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	12
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	12
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	12
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	12
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Calogero Type Bounds in Two Dimensions	12
The Gradient Flow for Entropy on Closed Planar Curves	12
Grand-Canonical Optimal Transport	11
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	11
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	11
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	11
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	11
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	11
On the Existence of Linearly Oscillating Galaxies	11
Minkowski Inequalities via Nonlinear Potential Theory	11
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	10
Coagulation Equations for Non-spherical Clusters	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	10
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	10
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	9
Energy Minimisers with Prescribed Jacobian	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	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
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
The Rayleigh–Bénard Problem for Compressible Fluid Flows	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	8
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	8
Conducting Flat Drops in a Confining Potential	8
Regularity and Nondegeneracy for Tumor Growth with Nutrients	8
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	8

On the Regularity of Optimal Transports Between Degenerate Densities	8
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	7
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	7
The Boltzmann Equation for Uniform Shear Flow	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Higher Order Boundary Harnack Principle via Degenerate Equations	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Regularity Structures for Quasilinear Singular SPDEs	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
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	5
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	5
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Geodesic Rays of the N-Body Problem	5
Body-Ordered Approximations of Atomic Properties	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
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	5
A New Perspective on Wasserstein Distances for Kinetic Problems	5
Local Decay Estimates	5
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	5
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	5
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	5
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	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
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	5
Free Boundary Minimal Annuli Immersed in the Unit Ball	5
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	5
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	5
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	5
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	5
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	5
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	4
The Equality Case in the Substatic Heintze–Karcher Inequality	4
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	4
Variational Worn Stones	4
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	4
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	4
A Hele-Shaw Limit Without Monotonicity	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
Invariant Manifolds for the Thin Film Equation	4
The Bernstein Technique for Integro-Differential Equations	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	4
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	4
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	4
Correction to: Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Sobolev Gradients for the Möbius Energy	4

Quasilinear Schrödinger Equations III: Large Data and Short Time	4
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	4
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
The Number of Traveling Wave Families in a Running Water with Coriolis Force	4
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	4
Stability of Lamb Dipoles	4
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	4
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design	4
Effective Mass Theorems with Bloch Modes Crossings	4
Oscillation and Concentration in Sequences of PDE Constrained Measures	4
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
Correction to: Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	4
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	4
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	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
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
Maximization of Neumann Eigenvalues	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
Regularity of Stationary Boltzmann Equation in Convex Domains	3
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	3
Homogenization of Griffith’s Criterion for Brittle Laminates	3
Infinite-Dimensional Inverse Problems with Finite Measurements	3
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	3
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
The Feynman–Lagerstrom Criterion for Boundary Layers	3
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	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
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
Localized Big Bang Stability for the Einstein-Scalar Field Equations	3
Conditional $$L^{\infty }$$ Estimates for the Non-cutoff Boltzmann Equation in a Bounded Domain	2
Complete Entropic Inequalities for Quantum Markov Chains	2
Long Time Validity of the Linearized Boltzmann Equation for Hard Spheres: A Proof Without Billiard Theory	2
Potential Theory for Nonlocal Drift-Diffusion Equations	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	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
Time-Harmonic Maxwell’s Equations in Periodic Waveguides	2
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	2
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
Building Kohn–Sham Potentials for Ground and Excited States	2
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
Axisymmetric Solutions in the Geomagnetic Direction Problem	2
Stable Singularity Formation for the Keller–Segel System in Three Dimensions	2
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index	2
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	2
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	2
Navigating the Complex Landscape of Shock Filter Cahn–Hilliard Equation: From Regularized to Entropy Solutions	2
Limiting Behavior of Minimizing p-Harmonic Maps in 3d as p Goes to 2 with Finite Fundamental Group	2
Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels	2
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	2
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	2
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
On the Critical Point Regularity for Degenerate Diffusive Equations	2
A Top-Down Approach to Algebraic Renormalization in Regularity Structures Based on Multi-indices	2
Highest Cusped Waves for the Burgers–Hilbert Equation	2
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	2
Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: I. Existence	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
On a Class of Generalised Solutions to the Kinetic Hookean Dumbbell Model for Incompressible Dilute Polymeric Fluids: Existence and Macroscopic Closure	2
Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	2
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
Stefan Problem with Surface Tension: Uniqueness of Physical Solutions under Radial Symmetry	2
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	2
Variational Aspects of the Two-Center Problem	2
Observability for Heat Equations with Time-Dependent Analytic Memory	2
Geometric Hydrodynamics in Open Problems	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2