Archive for Rational Mechanics and Analysis

Article	Citations
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	54
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	32
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
Uniform Vorticity Depletion and Inviscid Damping for Periodic Shear Flows in the High Reynolds Number Regime	24
Chaotic Phenomena for Generalised N-centre Problems	23
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	22
Unique Continuation for Area Minimizing Currents	21
Benjamin–Feir Instability of Stokes Waves in Finite Depth	20
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	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
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	19
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
Global Solution of 2D Hyperbolic Liquid Crystal System for Small Initial Data	18
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	17
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	17
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	17
Finite Time Blow-Up for the Hypodissipative Navier Stokes Equations with a Force in $$L^1_t C_x^{1,\epsilon }\cap L^{\infty }_{t} L^{2}_{x}$$	17
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	16
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	16
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	16

Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	15
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
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	14
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	13
A Continuation Criterion for the Landau Equation with Very Soft and Coulomb Potentials	13
The Gradient Flow for Entropy on Closed Planar Curves	13
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	13
Recovery of Coefficients in Semilinear Transport Equations	13
Convergence of Drift-Diffusion PDEs Arising as Wasserstein Gradient Flows of Convex Functions	13
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D	12
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Grand-Canonical Optimal Transport	12
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	12
Two-Dimensional Fluids Via Matrix Hydrodynamics	11
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	11
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	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
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
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Homogenization of a Vertical Oscillating Neumann Condition	10
Coagulation Equations for Non-spherical Clusters	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
Long–Time and Chaotic Dynamics in Microscopic Systems with Singular Interactions	10
Quantum Systems at The Brink: Helium–Type Systems	10
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
A Uniform Bound for Solutions to a Thermo-diffusive System	10
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
The Rayleigh–Bénard Problem for Compressible Fluid Flows	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	9
One Dimensional Energy Cascades in a Fractional Quasilinear NLS	9
On the Singular Limit of Brinkman’s Law to Darcy’s Law	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	8
A Stable-Compact Method for Qualitative Properties of Semilinear Elliptic Equations	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	8
Asymptotic Behavior of a Diffused Interface Volume-Preserving Mean Curvature Flow	8
Regularity Structures for Quasilinear Singular SPDEs	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
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Linear Vortex Symmetrization: The Spectral Density Function	8
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	8
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	8
$$L^2$$-Based Stability of Blowup with Log Correction for Semilinear Heat Equation	8
First Order Expansion in the Semiclassical Limit of the Levy–Lieb Functional	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8
Gradient Integrability for Bounded $$\textrm{BD}$$-Minimizers	8
Global Existence and Asymptotic Equivalence to Barenblatt-Type Solutions for the Physical Vacuum Free Boundary Problem of Damped Compressible Euler Equations in M-D	8
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	8
Liquid Drop with Capillarity and Rotating Traveling Waves	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
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	7
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	7
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost	7
Linear and Nonlinear Phase Mixing for the Gravitational Vlasov–Poisson System Under an External Kepler Potential	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
Delaunay-Like Compact Equilibria in the Liquid Drop Model	7
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes	6
Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime	6
A Free Boundary Monge–Ampère Equation and Applications to Complete Calabi–Yau Metrics	6
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	6
An Inverse Signorini Obstacle Problem	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Local Decay Estimates	6
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	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
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Sharp Quantitative Talenti Inequality in Particular Cases	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	5
Rigorous Derivation of Damped–Driven Wave Turbulence Theory	5
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	5
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	5
Global Results for Weakly Dispersive KP-II Equations on the Cylinder	5
Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation	5
On the Uniqueness of Schwarzschild–de Sitter Spacetime	5
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	5
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	5
The Long Way of a Viscous Vortex Dipole	5
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	5
Asymptotics of the $$\phi ^4_1$$ Measure in the Sharp Interface Limit	5
Deriving a GENERIC system from a Hamiltonian system	5
Complex Gaussianity of Long-Distance Random Wave Processes	5
Free Boundary Minimal Annuli Immersed in the Unit Ball	5
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	5
Optimal Higher Derivative Estimates for Stokes Equations with Closely Spaced Rigid Inclusions	5
Global Self-Similar Solutions for the 3D Muskat Equation	5
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	5
The Weakly Coupled Two-Dimensional Fermi Polaron	5
Body-Ordered Approximations of Atomic Properties	5
The Number of Traveling Wave Families in a Running Water with Coriolis Force	5
Existence and Partial Regularity of Legendrian Area-Minimizing Currents	5
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	5
Microscopic Derivation of a Traffic Flow Model with a Bifurcation	4
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	4
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	4
Global Well-posedness for the Three Dimensional Muskat Problem in the Critical Sobolev Space	4
Boundary Behavior of Limit-Interfaces for the Allen–Cahn Equation on Riemannian Manifolds with Neumann Boundary Condition	4
A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case	4
Oscillation and Concentration in Sequences of PDE Constrained Measures	4
Global Smooth Solutions to the Landau–Coulomb Equation in $$L^{3/2}$$	4
Micro-Slip-Induced Multiplicative Plasticity: Existence of Energy Minimizers	4
Obstructions to Topological Relaxation for Generic Magnetic Fields	4
On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux	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
Degenerate Flat Bands in Twisted Bilayer Graphene	4
Asymptotic Stability of the Three-Dimensional Couette Flow for the Stokes-Transport 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
Nonlinear and Linearized Models in Thermoviscoelasticity	4
Invariance Principles and Log-Distance of F-KPP Fronts in a Random Medium	4
On the Nodal Set of Solutions to Some Sublinear Equations Without Homogeneity	4
Minimizing Harmonic Maps on the Unit Ball with Tangential Anchoring	4
Wave Packets Propagation in the Subwavelength Regime Near the Dirac Point	4
The Excitation Spectrum of a Bose Gas with an Impurity in the Gross–Pitaevskii Regime	4
On the Existence of Source-Solutions to the Multidimensional Burgers Equation	4
Long-Time Behavior of an Arc-Shaped Vortex Filament and Its Application to the Stability of a Circular Vortex Filament	4
Homogenization of Griffith’s Criterion for Brittle Laminates	4
Invariant Manifolds for the Thin Film Equation	4
Rigidity and Functional Properties of $$\textrm{BD}_{\textrm{dev}}(\Omega )$$	3
Global Stability for Nonlinear Wave Equations Satisfying a Generalized Null Condition	3
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate	3
Nonlinear Cauchy Elasticity	3
Variational Worn Stones	3
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation	3
Long-Time Stability of a Stably Stratified Rest State in the Inviscid 2D Boussinesq Equation	3
Ill-Posedness of the Boltzmann–BGK Model in the Exponential Class	3
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	3
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	3
The Case Against Smooth Null Infinity V: Early-Time Asymptotics of Linearised Gravity Around Schwarzschild for Fixed Spherical Harmonic Modes	3
Time-Asymptotic Stability of Generic Riemann Solutions for Compressible Navier–Stokes–Fourier Equations	3
The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions	3
The Existence of Meissner Solutions to the Full Ginzburg–Landau System in Three Dimensions	3
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension $$N\ge 4$$	3
Localized Big Bang Stability for the Einstein-Scalar Field Equations	3
The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces	3
Localisation of Perturbations of a Constant State in a Traffic Flow Model	3
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	3
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	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
Unbounded Yudovich Solutions of the Euler Equations	3
kpz-Type Equation from Growth Driven by a Non-Markovian Diffusion	3
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures	3
Parabolic Boundary Harnack Inequalities with Right-Hand Side	3
The Feynman–Lagerstrom Criterion for Boundary Layers	3
Construction of Fillings with Prescribed Gaussian Image and Applications	3
Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications	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
Damping Versus Oscillations for a Gravitational Vlasov–Poisson System	3
Scattering from analytic and piecewise analytic inhomogeneities	2
Time-Harmonic Maxwell’s Equations in Periodic Waveguides	2
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	2
Global Well-Posedness of Quadratic and Subquadratic Half Wave Schrödinger Equations	2
On a Conjecture of De Giorgi About the Phase-Field Approximation of the Willmore Functional	2
Long Time Validity of the Linearized Boltzmann Equation for Hard Spheres: A Proof Without Billiard Theory	2
Navigating the Complex Landscape of Shock Filter Cahn–Hilliard Equation: From Regularized to Entropy Solutions	2
Effective Dynamics and Blow Up in a Model of Magnetic Relaxation	2
Limiting Behavior of Minimizing p-Harmonic Maps in 3d as p Goes to 2 with Finite Fundamental Group	2
Geometric Hydrodynamics in Open Problems	2
Observability for Heat Equations with Time-Dependent Analytic Memory	2
Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2
Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation	2
Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2
Long-Time Dynamics for the Kelvin-Helmholtz Equations Close to Circular Vortex Sheets	2
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	2
Existence of Constant Mean Curvature Disks in $$\mathbb {R}^3$$ with Capillary Boundary Condition	2
Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors	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
Stefan Problem with Surface Tension: Uniqueness of Physical Solutions under Radial Symmetry	2
Stable Singularity Formation for the Keller–Segel System in Three Dimensions	2
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	2
Correction to: Stable Singularity Formation for the Keller-Segel System in Three Dimensions	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
Stability and Large-Time Behavior on 3D Incompressible MHD Equations with Partial Dissipation Near a Background Magnetic Field	2
Nonlinear Asymptotic Stability of 2D Taylor-Couette Flow in the Exterior Disk	2
On Mean Curvature Flow Translators with Prescribed Ends	2
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	2
Maximization of Neumann Eigenvalues	2
The Tapering Length of Needles in Martensite/Martensite Macrotwins	2
On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl	2
Degeneration of 7-Dimensional Minimal Hypersurfaces Which are Stable or Have a Bounded Index	2
A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation	2
Global Strong Solutions to the Compressible Navier–Stokes–Coriolis System for Large Data	2
Smooth Transonic Flows with Nonzero Vorticity to a Quasi Two Dimensional Steady Euler Flow Model	2
Sustained Oscillations in Hyperbolic–Parabolic Systems	2
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids	2
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	2
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	2
Local Energy Control in the Presence of a Zero-Energy Resonance	2
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	2
Semi-Dilute Rheology of Particle Suspensions: Derivation of Doi-Type Models	2
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	2