Archive for Rational Mechanics and Analysis

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	38
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	35
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	30
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	30
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	29
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	28
Chaotic Phenomena for Generalised N-centre Problems	23
Benjamin–Feir Instability of Stokes Waves in Finite Depth	22
Uniform Vorticity Depletion and Inviscid Damping for Periodic Shear Flows in the High Reynolds Number Regime	21
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	21
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	21
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	21
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	20
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	20
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	19
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	19
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	18
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	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	16
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	16
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	16
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	15

A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	15
Recovery of Coefficients in Semilinear Transport Equations	15
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	15
Grand-Canonical Optimal Transport	14
The Gradient Flow for Entropy on Closed Planar Curves	14
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Calogero Type Bounds in Two Dimensions	14
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	14
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	13
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	13
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D	13
Asymptotic Stability of Two-Dimensional Couette Flow in a Viscous Fluid	13
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	13
Minkowski Inequalities via Nonlinear Potential Theory	13
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	13
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	12
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	12
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	12
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	11
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	11
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	11
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	11
On the Regularity of Non-scattering Anisotropic Inhomogeneities	11
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	11
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	11
The Rayleigh–Bénard Problem for Compressible Fluid Flows	11
Coagulation Equations for Non-spherical Clusters	11
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	10
A Uniform Bound for Solutions to a Thermo-diffusive System	10
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	10
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	10
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	9
Regularity and Nondegeneracy for Tumor Growth with Nutrients	9
Conducting Flat Drops in a Confining Potential	9
On the Regularity of Optimal Transports Between Degenerate Densities	9
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	9
First Order Expansion in the Semiclassical Limit of the Levy–Lieb Functional	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
One Dimensional Energy Cascades in a Fractional Quasilinear NLS	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Higher Order Boundary Harnack Principle via Degenerate Equations	8
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	8

Liquid Drop with Capillarity and Rotating Traveling Waves	8
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	8
Linear Vortex Symmetrization: The Spectral Density Function	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	8
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	8
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	8
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	8
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	8
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	8
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	8
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	7
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	7
Delaunay-Like Compact Equilibria in the Liquid Drop Model	7
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	7
Regularity for Double Phase Problems at Nearly Linear Growth	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	7
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	7
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	7
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	7
Regularity Structures for Quasilinear Singular SPDEs	7
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	7
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	7
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	7
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost	7
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	6
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes	6
Local Decay Estimates	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	6
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	6
Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime	6
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	6
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	6
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
A New Perspective on Wasserstein Distances for Kinetic Problems	6
Convergence of Deterministic Growth Models	6
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	5
Optimal Higher Derivative Estimates for Stokes Equations with Closely Spaced Rigid Inclusions	5
Global Self-Similar Solutions for the 3D Muskat Equation	5
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
The Equality Case in the Substatic Heintze–Karcher Inequality	5
A Hele-Shaw Limit Without Monotonicity	5
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	5
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	5
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	5
Degenerate Flat Bands in Twisted Bilayer Graphene	5
Stability of Lamb Dipoles	5
Asymptotics of the $$\phi ^4_1$$ Measure in the Sharp Interface Limit	5
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	5
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	5
Geodesic Rays of the N-Body Problem	5
Body-Ordered Approximations of Atomic Properties	5
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	5
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	5
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	5
Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation	5
The Number of Traveling Wave Families in a Running Water with Coriolis Force	5
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	5
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	5
Free Boundary Minimal Annuli Immersed in the Unit Ball	5
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	5
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	5
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	5
Deriving a GENERIC system from a Hamiltonian system	5
The Bernstein Technique for Integro-Differential Equations	5
Complex Gaussianity of Long-Distance Random Wave Processes	5
On the Uniqueness of Schwarzschild–de Sitter Spacetime	5
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	4

Oscillation and Concentration in Sequences of PDE Constrained Measures	4
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Homogenization of Griffith’s Criterion for Brittle Laminates	4
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	4
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	4
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	4
Nonlinear Cauchy Elasticity	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	4
Invariant Manifolds for the Thin Film Equation	4
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	4
Damping Versus Oscillations for a Gravitational Vlasov–Poisson System	4
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	4
The Feynman–Lagerstrom Criterion for Boundary Layers	4
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design	4
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	4
Correction to: Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
Effective Mass Theorems with Bloch Modes Crossings	4
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	4
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	4
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	4
Regularity of Stationary Boltzmann Equation in Convex Domains	4
Localized Big Bang Stability for the Einstein-Scalar Field Equations	4
Variational Worn Stones	4
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	3
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
Variational Structure and Two-Dimensional Subsonic Jet Flows for Compressible Euler System with General Incoming Flows	3
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
Maximization of Neumann Eigenvalues	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Localisation of Perturbations of a Constant State in a Traffic Flow Model	3
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	3
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	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
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
kpz-Type Equation from Growth Driven by a Non-Markovian Diffusion	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	3
Global Well-Posedness of Quadratic and Subquadratic Half Wave Schrödinger Equations	2
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	2
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
Geometric Hydrodynamics in Open Problems	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
Potential Theory for Nonlocal Drift-Diffusion Equations	2
Building Kohn–Sham Potentials for Ground and Excited States	2
Nonlinear Asymptotic Stability of 2D Taylor-Couette Flow in the Exterior Disk	2
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	2
Correction to: Boundary Unique Continuation on $$C^1$$-Dini Domains and the Size of the Singular Set	2
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	2
Complete Entropic Inequalities for Quantum Markov Chains	2
Stable Singularity Formation for the Keller–Segel System in Three Dimensions	2
Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels	2
Variational Aspects of the Two-Center Problem	2
Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	2
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	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
Observability for Heat Equations with Time-Dependent Analytic Memory	2
Stefan Problem with Surface Tension: Uniqueness of Physical Solutions under Radial Symmetry	2
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
Covariance-Modulated Optimal Transport and Gradient Flows	2
Global Existence for the N Body Euler–Poisson System	2
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	2
Long Time Validity of the Linearized Boltzmann Equation for Hard Spheres: A Proof Without Billiard Theory	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index	2
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
On the Critical Point Regularity for Degenerate Diffusive Equations	2
Navigating the Complex Landscape of Shock Filter Cahn–Hilliard Equation: From Regularized to Entropy Solutions	2
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	2
Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors	2
Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation	2
Conditional $$L^{\infty }$$ Estimates for the Non-cutoff Boltzmann Equation in a Bounded Domain	2
Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: I. Existence	2
Highest Cusped Waves for the Burgers–Hilbert Equation	2
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	2