Archive for Rational Mechanics and Analysis

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	96
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	31
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	27
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	26
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	25
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	20
Chaotic Phenomena for Generalised N-centre Problems	20
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Benjamin–Feir Instability of Stokes Waves in Finite Depth	19
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	18
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	18
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	17
Partial Regularity for Fractional Harmonic Maps into Spheres	17
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	17
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	17
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	17
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	16
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	16
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	15

Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	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
Recovery of Coefficients in Semilinear Transport Equations	14
Viscous Shock Solutions to the Stochastic Burgers Equation	14
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	13
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	13
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	13
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	13
The Gradient Flow for Entropy on Closed Planar Curves	13
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	13
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	12
Calogero Type Bounds in Two Dimensions	12
Minkowski Inequalities via Nonlinear Potential Theory	12
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	12
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	12
Grand-Canonical Optimal Transport	12
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	12
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	11
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	11
Asymptotic Stability of Two-Dimensional Couette Flow in a Viscous Fluid	11
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	11
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	11
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
On the Existence of Linearly Oscillating Galaxies	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
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
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	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
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	9
Energy Minimisers with Prescribed Jacobian	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
Coagulation Equations for Non-spherical Clusters	9
Conducting Flat Drops in a Confining Potential	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
The Boltzmann Equation for Uniform Shear Flow	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
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8

The Rayleigh–Bénard Problem for Compressible Fluid Flows	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Regularity and Nondegeneracy for Tumor Growth with Nutrients	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
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	7
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	6
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Regularity Structures for Quasilinear Singular SPDEs	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	6
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	5
A New Perspective on Wasserstein Distances for Kinetic Problems	5
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	5
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	5
Convergence of Deterministic Growth Models	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
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	5
Body-Ordered Approximations of Atomic Properties	5
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	5
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	5
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	5
Local Decay Estimates	5
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	5
Geodesic Rays of the N-Body Problem	5
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	5
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	5
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	5
Global Self-Similar Solutions for the 3D Muskat Equation	5
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	5
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	5
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	5
Correction to: Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
The Equality Case in the Substatic Heintze–Karcher Inequality	4
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	4
Stability of Lamb Dipoles	4
Invariant Manifolds for the Thin Film Equation	4
Variational Worn Stones	4
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	4
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
The Bernstein Technique for Integro-Differential Equations	4
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation	4
Free Boundary Minimal Annuli Immersed in the Unit Ball	4
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	4
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	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
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	4
The Number of Traveling Wave Families in a Running Water with Coriolis Force	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	4
Sobolev Gradients for the Möbius Energy	4
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	4
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	4
Effective Mass Theorems with Bloch Modes Crossings	4
Oscillation and Concentration in Sequences of PDE Constrained Measures	4
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	4
A Hele-Shaw Limit Without Monotonicity	4
The Feynman–Lagerstrom Criterion for Boundary Layers	3
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
Localized Big Bang Stability for the Einstein-Scalar Field Equations	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	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
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	3
Homogenization of Griffith’s Criterion for Brittle Laminates	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
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	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
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
kpz-Type Equation from Growth Driven by a Non-Markovian Diffusion	3
Regularity of Stationary Boltzmann Equation in Convex Domains	3
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	3
Infinite-Dimensional Inverse Problems with Finite Measurements	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
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Maximization of Neumann Eigenvalues	3
Damping Versus Oscillations for a Gravitational Vlasov–Poisson System	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	2
Highest Cusped Waves for the Burgers–Hilbert Equation	2
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index	2
Navigating the Complex Landscape of Shock Filter Cahn–Hilliard Equation: From Regularized to Entropy Solutions	2
Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model	2
Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	2
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	2
On a Class of Generalised Solutions to the Kinetic Hookean Dumbbell Model for Incompressible Dilute Polymeric Fluids: Existence and Macroscopic Closure	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	2
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl	2
Long Time Validity of the Linearized Boltzmann Equation for Hard Spheres: A Proof Without Billiard Theory	2
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	2
Potential Theory for Nonlocal Drift-Diffusion Equations	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
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Geometric Hydrodynamics in Open Problems	2
On Mean Curvature Flow Translators with Prescribed Ends	2
Variational Aspects of the Two-Center Problem	2
Observability for Heat Equations with Time-Dependent Analytic Memory	2
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	2
On the Critical Point Regularity for Degenerate Diffusive Equations	2
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	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
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2
Stefan Problem with Surface Tension: Uniqueness of Physical Solutions under Radial Symmetry	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
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2