Archive for Rational Mechanics and Analysis

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	36
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	32
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
Chaotic Phenomena for Generalised N-centre Problems	29
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	28
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	22
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	22
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	22
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Benjamin–Feir Instability of Stokes Waves in Finite Depth	21
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	20
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	20
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	20
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	19
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	18
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	18
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	18
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	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	16
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	15
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	15

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

Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	8
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	8
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	8
Linear Vortex Symmetrization: The Spectral Density Function	8
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	7
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	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
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	7
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Regularity Structures for Quasilinear Singular SPDEs	7
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	6
Local Decay Estimates	6
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	6
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
A New Perspective on Wasserstein Distances for Kinetic Problems	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	6
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	6
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	6
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	5
Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation	5
Stability of Lamb Dipoles	5
Geodesic Rays of the N-Body Problem	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Convergence of Deterministic Growth Models	5
Asymptotics of the $$\phi ^4_1$$ Measure in the Sharp Interface Limit	5
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	5
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	5
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	5
Complex Gaussianity of Long-Distance Random Wave Processes	5
The Equality Case in the Substatic Heintze–Karcher Inequality	5
Free Boundary Minimal Annuli Immersed in the Unit Ball	5
Global Self-Similar Solutions for the 3D Muskat Equation	5
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	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
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	5
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	5
A Hele-Shaw Limit Without Monotonicity	5
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	5
The Number of Traveling Wave Families in a Running Water with Coriolis Force	5
On the Uniqueness of Schwarzschild–de Sitter Spacetime	5
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	5
Deriving a GENERIC system from a Hamiltonian system	5
Body-Ordered Approximations of Atomic Properties	5
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	5
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	5
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	5
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	5
The Bernstein Technique for Integro-Differential Equations	5
Homogenization of Griffith’s Criterion for Brittle Laminates	4
Nonlinear Cauchy Elasticity	4
Oscillation and Concentration in Sequences of PDE Constrained Measures	4
Effective Mass Theorems with Bloch Modes Crossings	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	4
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	4

The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	4
Optimal Regularity for Lagrangian Mean Curvature Type Equations	4
Localized Big Bang Stability for the Einstein-Scalar Field Equations	4
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design	4
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	4
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	4
Parabolic Boundary Harnack Inequalities with Right-Hand Side	4
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	4
The Feynman–Lagerstrom Criterion for Boundary Layers	4
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	4
Correction to: Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	4
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	4
Invariant Manifolds for the Thin Film Equation	4
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Variational Worn Stones	4
Damping Versus Oscillations for a Gravitational Vlasov–Poisson System	4
Regularity of Stationary Boltzmann Equation in Convex Domains	4
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
Building Kohn–Sham Potentials for Ground and Excited States	3
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	3
Maximization of Neumann Eigenvalues	3
Variational Structure and Two-Dimensional Subsonic Jet Flows for Compressible Euler System with General Incoming Flows	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Localisation of Perturbations of a Constant State in a Traffic Flow Model	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	3
On the Critical Point Regularity for Degenerate Diffusive Equations	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
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	3
kpz-Type Equation from Growth Driven by a Non-Markovian Diffusion	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	3
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	3
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	3
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
Infinite-Dimensional Inverse Problems with Finite Measurements	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
Long Time Validity of the Linearized Boltzmann Equation for Hard Spheres: A Proof Without Billiard Theory	2
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	2
On a Class of Generalised Solutions to the Kinetic Hookean Dumbbell Model for Incompressible Dilute Polymeric Fluids: Existence and Macroscopic Closure	2
Time-Harmonic Maxwell’s Equations in Periodic Waveguides	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
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
Geometric Hydrodynamics in Open Problems	2
Stefan Problem with Surface Tension: Uniqueness of Physical Solutions under Radial Symmetry	2
Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation	2
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	2
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index	2
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
Global Existence for the N Body Euler–Poisson System	2
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	2
Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels	2
Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model	2
Complete Entropic Inequalities for Quantum Markov Chains	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
Navigating the Complex Landscape of Shock Filter Cahn–Hilliard Equation: From Regularized to Entropy Solutions	2
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	2
Potential Theory for Nonlocal Drift-Diffusion Equations	2
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2
Variational Aspects of the Two-Center Problem	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Observability for Heat Equations with Time-Dependent Analytic Memory	2
Correction to: Boundary Unique Continuation on $$C^1$$-Dini Domains and the Size of the Singular Set	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
Invariant Forms in Hybrid and Impact Systems and a Taming of Zeno	2
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	2
On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	2
The Vlasov–Poisson–Landau System with the Specular-Reflection Boundary Condition	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	2
Sustained Oscillations in Hyperbolic–Parabolic Systems	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Small Scale Formations in the Incompressible Porous Media Equation	2
Axisymmetric Solutions in the Geomagnetic Direction Problem	2