Archive for Rational Mechanics and Analysis

Article	Citations
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	50
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	31
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	29
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	26
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	24
Benjamin–Feir Instability of Stokes Waves in Finite Depth	23
Uniform Vorticity Depletion and Inviscid Damping for Periodic Shear Flows in the High Reynolds Number Regime	21
Chaotic Phenomena for Generalised N-centre Problems	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Unique Continuation for Area Minimizing Currents	20
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	20
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	19
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	19
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	19
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	18
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	17
Global Solution of 2D Hyperbolic Liquid Crystal System for Small Initial Data	17
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	17
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	17
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	16
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	16
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	16
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	16
Finite Time Blow-Up for the Hypodissipative Navier Stokes Equations with a Force in $$L^1_t C_x^{1,\epsilon }\cap L^{\infty }_{t} L^{2}_{x}$$	16
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15

Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	15
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	15
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	14
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	14
Recovery of Coefficients in Semilinear Transport Equations	14
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	14
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	13
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	13
Convergence of Drift-Diffusion PDEs Arising as Wasserstein Gradient Flows of Convex Functions	12
The Gradient Flow for Entropy on Closed Planar Curves	12
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	12
Grand-Canonical Optimal Transport	12
A Continuation Criterion for the Landau Equation with Very Soft and Coulomb Potentials	12
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D	12
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	11
Calogero Type Bounds in Two Dimensions	11
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	11
Fujita-Kato solutions and optimal time decay for the Vlasov-Navier–Stokes system in the whole space	11
Uniqueness of Gauge Covariant Renormalisation of Stochastic 3D Yang–Mills–Higgs	11
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	10
Asymptotic Stability of Two-Dimensional Couette Flow in a Viscous Fluid	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	10
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	10
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
Two-Dimensional Fluids Via Matrix Hydrodynamics	10
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
The Rayleigh–Bénard Problem for Compressible Fluid Flows	9
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	9
On the Singular Limit of Brinkman’s Law to Darcy’s Law	9
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	9
Coagulation Equations for Non-spherical Clusters	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
One Dimensional Energy Cascades in a Fractional Quasilinear NLS	9
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	9
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	9
Homogenization of a Vertical Oscillating Neumann Condition	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	8
$$L^2$$-Based Stability of Blowup with Log Correction for Semilinear Heat Equation	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Regularity and Nondegeneracy for Tumor Growth with Nutrients	8

First Order Expansion in the Semiclassical Limit of the Levy–Lieb Functional	8
A Stable-Compact Method for Qualitative Properties of Semilinear Elliptic Equations	8
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Gradient Integrability for Bounded $$\textrm{BD}$$-Minimizers	8
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
Liquid Drop with Capillarity and Rotating Traveling Waves	7
Asymptotic Behavior of a Diffused Interface Volume-Preserving Mean Curvature Flow	7
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Global Existence and Asymptotic Equivalence to Barenblatt-Type Solutions for the Physical Vacuum Free Boundary Problem of Damped Compressible Euler Equations in M-D	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Regularity for Double Phase Problems at Nearly Linear Growth	7
Regularity Structures for Quasilinear Singular SPDEs	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Sharp Quantitative Talenti Inequality in Particular Cases	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	6
An Inverse Signorini Obstacle Problem	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime	6
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Delaunay-Like Compact Equilibria in the Liquid Drop Model	6
Parabolic PDEs with Dynamic Data under a Bounded Slope Condition	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Local Decay Estimates	6
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	6
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
A Free Boundary Monge–Ampère Equation and Applications to Complete Calabi–Yau Metrics	6
Global Self-Similar Solutions for the 3D Muskat Equation	5
Optimal Higher Derivative Estimates for Stokes Equations with Closely Spaced Rigid Inclusions	5
Body-Ordered Approximations of Atomic Properties	5
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	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
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
The Long Way of a Viscous Vortex Dipole	5
Convergence of Deterministic Growth Models	5
Asymptotics of the $$\phi ^4_1$$ Measure in the Sharp Interface Limit	5
Free Boundary Minimal Annuli Immersed in the Unit Ball	5
Global Results for Weakly Dispersive KP-II Equations on the Cylinder	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	5
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	5
Deriving a GENERIC system from a Hamiltonian system	5
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	5
The Equality Case in the Substatic Heintze–Karcher Inequality	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Rigorous Derivation of Damped–Driven Wave Turbulence Theory	5
Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation	4
Degenerate Flat Bands in Twisted Bilayer Graphene	4
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	4
Wave Packets Propagation in the Subwavelength Regime Near the Dirac Point	4
Oscillation and Concentration in Sequences of PDE Constrained Measures	4
Nonlinear and Linearized Models in Thermoviscoelasticity	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
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	4
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	4
On the Uniqueness of Schwarzschild–de Sitter Spacetime	4
Invariant Manifolds for the Thin Film Equation	4
Effective Mass Theorems with Bloch Modes Crossings	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4

Obstructions to Topological Relaxation for Generic Magnetic Fields	4
The Number of Traveling Wave Families in a Running Water with Coriolis Force	4
Complex Gaussianity of Long-Distance Random Wave Processes	4
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	4
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	4
On the Existence of Source-Solutions to the Multidimensional Burgers Equation	4
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	4
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N	3
Damping Versus Oscillations for a Gravitational Vlasov–Poisson System	3
Localized Big Bang Stability for the Einstein-Scalar Field Equations	3
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	3
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	3
The Case Against Smooth Null Infinity V: Early-Time Asymptotics of Linearised Gravity Around Schwarzschild for Fixed Spherical Harmonic Modes	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	3
kpz-Type Equation from Growth Driven by a Non-Markovian Diffusion	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design	3
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
Variational Worn Stones	3
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	3
Long-Time Stability of a Stably Stratified Rest State in the Inviscid 2D Boussinesq Equation	3
Maximization of Neumann Eigenvalues	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
Optimal Regularity for Lagrangian Mean Curvature Type Equations	3
Variational Structure and Two-Dimensional Subsonic Jet Flows for Compressible Euler System with General Incoming Flows	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval	3
Homogenization of Griffith’s Criterion for Brittle Laminates	3
The Feynman–Lagerstrom Criterion for Boundary Layers	3
Unbounded Yudovich Solutions of the Euler Equations	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Localisation of Perturbations of a Constant State in a Traffic Flow Model	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Nonlinear Cauchy Elasticity	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	2
Effective Dynamics and Blow Up in a Model of Magnetic Relaxation	2
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	2
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
On a Class of Generalised Solutions to the Kinetic Hookean Dumbbell Model for Incompressible Dilute Polymeric Fluids: Existence and Macroscopic Closure	2
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	2
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	2
Limiting Behavior of Minimizing p-Harmonic Maps in 3d as p Goes to 2 with Finite Fundamental Group	2
Existence of Constant Mean Curvature Disks in $$\mathbb {R}^3$$ with Capillary Boundary Condition	2
Time-Harmonic Maxwell’s Equations in Periodic Waveguides	2
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
Long-Time Dynamics for the Kelvin-Helmholtz Equations Close to Circular Vortex Sheets	2
The Tapering Length of Needles in Martensite/Martensite Macrotwins	2
Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension $$(n-1)$$ in Reaction–Diffusion Equations as the Speeds Go to Infinity	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
Sustained Oscillations in Hyperbolic–Parabolic Systems	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
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	2
Observability for Heat Equations with Time-Dependent Analytic Memory	2
Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors	2
Nonlinear Asymptotic Stability of 2D Taylor-Couette Flow in the Exterior Disk	2
On Mean Curvature Flow Translators with Prescribed Ends	2
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	2
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	2
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	2
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	2
Highest Cusped Waves for the Burgers–Hilbert Equation	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
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Global Strong Solutions to the Compressible Navier–Stokes–Coriolis System for Large Data	2
Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation	2
On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl	2
Building Kohn–Sham Potentials for Ground and Excited States	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	2
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
Geometric Hydrodynamics in Open Problems	2
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	2