Archive for Rational Mechanics and Analysis

Article	Citations
Free Boundary Minimal Annuli Immersed in the Unit Ball	91
Benjamin–Feir Instability of Stokes Waves in Finite Depth	29
Model-Free and Prior-Free Data-Driven Inference in Mechanics	26
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	25
Regularity and Nondegeneracy for Tumor Growth with Nutrients	23
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	23
Nematic Liquid Crystal Flow with Partially Free Boundary	23
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	22
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	20
Kac’s Process with Hard Potentials and a Moderate Angular Singularity	19
Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization	19
On the Regularity of Optimal Transports Between Degenerate Densities	18
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	17
Correction to: Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	17
Stability of Lamb Dipoles	17
Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones	17
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	16
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	16
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	16
Body-Ordered Approximations of Atomic Properties	16
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	16
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	16
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	15
Maximization of Neumann Eigenvalues	15
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	14

Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	14
Higher-Order Boundary Layers and Regularity for Stokes Systems over Rough Boundaries	14
Global Bifurcation and Highest Waves on Water of Finite Depth	13
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	13
Hypocoercivity and Reaction-Diffusion Limit for a Nonlinear Generation-Recombination Model	13
Balanced-Viscosity Solutions to Infinite-Dimensional Multi-Rate Systems	13
The Tapering Length of Needles in Martensite/Martensite Macrotwins	12
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality	12
Long-time asymptotics for coagulation equations with injection that do not have stationary solutions	12
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	12
Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics	12
Chaotic Phenomena for Generalised N-centre Problems	11
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	11
Propagation for Schrödinger Operators with Potentials Singular Along a Hypersurface	11
Higher Order Boundary Harnack Principle via Degenerate Equations	11
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	11
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	11
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	11
Violent Nonlinear Collapse in the Interior of Charged Hairy Black Holes	11
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	10
On the Characterization, Existence and Uniqueness of Steady Solutions to the Hydrostatic Euler Equations in a Nozzle	10
Extremal Functions for Morrey’s Inequality	10
Boundary Conditions and Polymeric Drag Reduction for the Navier–Stokes Equations	10
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	10
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	10
Large Deviations and Entropy Production in Viscous Fluid Flows	10
Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation	10
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	10
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	10
Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island	10
Symbolic Dynamics for the Anisotropic N-Centre Problem at Negative Energies	9
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	9
Geodesic Rays of the N-Body Problem	9
Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems	9
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	9
Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold	9
The Boltzmann Equation for Uniform Shear Flow	9
Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space	8
Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension $$(n-1)$$ in Reaction–Diffusion Equations as the Speeds Go to Infinity	8
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	8
Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum	8
Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	8
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	8
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	8
Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems	8
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	8
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	8
Partial Regularity for Fractional Harmonic Maps into Spheres	8
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	8
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	8

Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	8
Lipschitz Bounds and Nonautonomous Integrals	8
Conservation Laws for p-Harmonic Systems with Antisymmetric Potentials and Applications	8
The Bernstein Technique for Integro-Differential Equations	8
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	7
Well-Posedness of the Dean–Kawasaki and the Nonlinear Dawson–Watanabe Equation with Correlated Noise	7
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	7
Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications	7
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	7
The Least Action Admissibility Principle	7
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	7
A Variational Perspective on Auxetic Metamaterials of Checkerboard-Type	7
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	7
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	7
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	7
Free Boundary Problem for a Gas Bubble in a Liquid, and Exponential Stability of the Manifold of Spherically Symmetric Equilibria	7
Weyl’s Law for the Steklov Problem on Surfaces with Rough Boundary	7
Mathematical Foundations of the Non-Hermitian Skin Effect	7
Regularity of Solutions to the Muskat Equation	7
Building Kohn–Sham Potentials for Ground and Excited States	7
On the Uniqueness of Schwarzschild–de Sitter Spacetime	7
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	6
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	6
Oscillations in Wave Map Systems and Homogenization of the Einstein Equations in Symmetry	6
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	6
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	6
Geometric Hydrodynamics in Open Problems	6
A PDE Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation	6
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	6
The Equality Case in the Substatic Heintze–Karcher Inequality	6
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	6
Entire Vortex Solutions of Negative Degree for the Anisotropic Ginzburg–Landau System	6
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	6
Observability for Heat Equations with Time-Dependent Analytic Memory	6
Constraint Maps with Free Boundaries: the Obstacle Case	6
Regularity and compactness for critical points of degenerate polyconvex energies	6
A New Condition on the Vorticity for Partial Regularity of a Local Suitable Weak Solution to the Navier–Stokes Equations	6
On Non-uniqueness of Continuous Entropy Solutions to the Isentropic Compressible Euler Equations	6
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	6
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	5
On the Long-Time Behavior of Dissipative Solutions to Models of Non-Newtonian Compressible Fluids	5
Master Equation for the Finite State Space Planning Problem	5
Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	5
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	5
A Variational Singular Perturbation Problem Motivated by Ericksen’s Model for Nematic Liquid Crystals	5
Porous Medium Equation with a Drift: Free Boundary Regularity	5
A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws	5
The Speed of Traveling Waves in a FKPP-Burgers System	5
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	5
Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations	5
Long Time Dynamics for Combustion in Random Media	5
Characterization of Minimizers of Aviles–Giga Functionals in Special Domains	5
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue	5
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations	5
On the Stability of Laminar Flows Between Plates	5
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	5
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane	5
Existence and Stability of Kayaking Orbits for Nematic Liquid Crystals in Simple Shear Flow	5
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	5
Stabilization of the Linearized Water Tank System	4
Quantitative Nonlinear Homogenization: Control of Oscillations	4
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	4
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	4
Variational Aspects of the Two-Center Problem	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
On the Critical Point Regularity for Degenerate Diffusive Equations	4
Regularity Structures for Quasilinear Singular SPDEs	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	4
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
Volumetric Theory of Intermittency in Fully Developed Turbulence	4
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	4
The Number of Traveling Wave Families in a Running Water with Coriolis Force	4
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	4
On an Angle-Averaged Neumann-to-Dirichlet Map for Thin Filaments	4
Bold Feynman Diagrams and the Luttinger–Ward Formalism Via Gibbs Measures: Non-perturbative Analysis	4
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	4
A Priori Bounds for the $$\Phi ^4$$ Equation in the Full Sub-critical Regime	4
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	4

Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	4
Transverse Domain Walls in Thin Ferromagnetic Strips	4
Alexandrov’s Theorem for Anisotropic Capillary Hypersurfaces in the Half-Space	4
Linear Vortex Symmetrization: The Spectral Density Function	4
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	4
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	4
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	4
Functions with Bounded Hessian–Schatten Variation: Density, Variational, and Extremality Properties	4
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	3
Global Small Analytic Solution of 3-D Anisotropic Navier-Stokes System	3
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	3
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	3
Quasilinear Schrödinger Equations III: Large Data and Short Time	3
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	3
Sobolev Gradients for the Möbius Energy	3
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	3
Partial Differential Equations with Quadratic Nonlinearities Viewed as Matrix-Valued Optimal Ballistic Transport Problems	3
Sustained Oscillations in Hyperbolic–Parabolic Systems	3
Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity	3
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	3
Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands	3
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	3
Strong $$L^2 H^2$$ Convergence of the JKO Scheme for the Fokker–Planck Equation	3
Long-Time Behaviour of Time-Dependent Density Functional Theory	3
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	3
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	3
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	3
Front Selection in Reaction–Diffusion Systems via Diffusive Normal Forms	3
A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent	3
A Priori Estimates for Solutions to Landau Equation Under Prodi–Serrin Like Criteria	3
Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body	3
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	3
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	3
Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form	3
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	3
On Concavity of Solutions of the Nonlinear Poisson Equation	3
Quantitative stability of Yang–Mills–Higgs instantons in two dimensions	3
A New Approach to the Rayleigh–Taylor Instability	3
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	3
Nonexistence of Subcritical Solitary Waves	3
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	3
Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches	3
The Loewner Energy via the Renormalised Energy of Moving Frames	3
Viscous Shock Solutions to the Stochastic Burgers Equation	3
On the Triple Junction Problem without Symmetry Hypotheses	3
Characterization of Generalized Young Measures Generated by $${\mathcal {A}}$$-free Measures	3
Second Derivatives Estimate of Suitable Solutions to the 3D Navier–Stokes Equations	3
Recovery of Coefficients in Semilinear Transport Equations	3
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	3
Controllability and Ergodicity of three dimensional Primitive Equations Driven by a Finite-Dimensional Force	3
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	3
1-D Isentropic Euler Flows: Self-similar Vacuum Solutions	3
A Hele-Shaw Limit Without Monotonicity	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	2
Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant	2
On Uniformly Rotating Binary Stars and Galaxies	2
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Topological Singular Set of Vector-Valued Maps, II: $$\varGamma $$-convergence for Ginzburg–Landau type functionals	2
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	2
The Relativistic Quantum Boltzmann Equation Near Equilibrium	2
Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space	2
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
Correction to: Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	2
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	2
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	2
Minkowski Inequalities via Nonlinear Potential Theory	2
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	2
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	2
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	2
Hydrodynamic Limit of the Incompressible Navier–Stokes–Fourier–Maxwell System with Ohm’s Law from the Vlasov–Maxwell–Boltzmann System: Hilbert Expansion Approach	2
Two-Dimensional Pseudosteady Flows Around a Sharp Corner	2
On Magnetic Inhibition Theory in 3D Non-resistive Magnetohydrodynamic Fluids: Global Existence of Large Solutions	2
Carleson Measure Estimates for the Green Function	2
Invariant Manifolds for the Thin Film Equation	2
Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities	2
BCS Critical Temperature on Half-Spaces	2
Norm Growth, Non-uniqueness, and Anomalous Dissipation in Passive Scalars	2
Entropy and Thermodynamic Temperature in Nonequilibrium Classical Thermodynamics as Immediate Consequences of the Hahn–Banach Theorem: II Properties	2
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	2
The Feynman–Lagerstrom Criterion for Boundary Layers	2
Calogero Type Bounds in Two Dimensions	2
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit	2
Regularity of Stationary Boltzmann Equation in Convex Domains	2
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	2
Spectrum Analysis for the Vlasov–Poisson–Boltzmann System	2
Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model	2
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	2
Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere	2
Phase-Field Approximation of the Willmore Flow	2
Well-Posedness of Degenerate Initial-Boundary Value Problems to a Hyperbolic-Parabolic Coupled System Arising from Nematic Liquid Crystals	2