Archive for Rational Mechanics and Analysis

Article	Citations
Chaotic Phenomena for Generalised N-centre Problems	35
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	30
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	26
Benjamin–Feir Instability of Stokes Waves in Finite Depth	26
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	21
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	20
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	20
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	20
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	19
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	18
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	18
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	17
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	17
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	17
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	16
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	15
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	15
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	14

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

Regularity and Nondegeneracy for Tumor Growth with Nutrients	8
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	8
The Boltzmann Equation for Uniform Shear Flow	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
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	7
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	7
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Regularity Structures for Quasilinear Singular SPDEs	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	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
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	6
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	6
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Local Decay Estimates	6
A New Perspective on Wasserstein Distances for Kinetic Problems	6
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	5
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	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
Stability of Lamb Dipoles	5
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	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
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
Geodesic Rays of the N-Body Problem	5
Deriving a GENERIC system from a Hamiltonian system	5
Global Self-Similar Solutions for the 3D Muskat Equation	5
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	5
Body-Ordered Approximations of Atomic Properties	5
Asymptotics of the $$\phi ^4_1$$ Measure in the Sharp Interface Limit	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
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	5
On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture	5
Free Boundary Minimal Annuli Immersed in the Unit Ball	5
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	5
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	5
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	5
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	5
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	5
Convergence of Deterministic Growth Models	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	4
Localized Big Bang Stability for the Einstein-Scalar Field Equations	4
Nonlinear Cauchy Elasticity	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
Invariant Manifolds for the Thin Film Equation	4
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	4
Correction to: Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	4
The Bernstein Technique for Integro-Differential Equations	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	4
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	4
The Feynman–Lagerstrom Criterion for Boundary Layers	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
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	4
A Hele-Shaw Limit Without Monotonicity	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	4
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	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
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	4
The Equality Case in the Substatic Heintze–Karcher Inequality	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
Infinite-Dimensional Inverse Problems with Finite Measurements	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	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
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
The Tapering Length of Needles in Martensite/Martensite Macrotwins	3
Homogenization of Griffith’s Criterion for Brittle Laminates	3
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	3
Variational Aspects of the Two-Center Problem	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
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	3
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
kpz-Type Equation from Growth Driven by a Non-Markovian Diffusion	3
Damping Versus Oscillations for a Gravitational Vlasov–Poisson System	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
Maximization of Neumann Eigenvalues	3
The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	3
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
Regularity of Stationary Boltzmann Equation in Convex Domains	3
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	3
Variational Structure and Two-Dimensional Subsonic Jet Flows for Compressible Euler System with General Incoming Flows	3
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	3
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	3
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	3
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	3