OOIR: Observatory of International Research

Papers

(The TQCC of Archive for Rational Mechanics and Analysis is 5. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)

Article	Citations
Balanced-Viscosity Solutions to Infinite-Dimensional Multi-Rate Systems	79
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	26
Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension $$(n-1)$$ in Reaction–Diffusion Equations as the Speeds Go to Infinity	26
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	23
Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space	21
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	20
Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems	20
Anticipation Breeds Alignment	19
Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation	19
The Boltzmann Equation for Uniform Shear Flow	19
Symbolic Dynamics for the Anisotropic N-Centre Problem at Negative Energies	18
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	18
Chaotic Phenomena for Generalised N-centre Problems	17
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	16
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	15
Hypocoercivity and Reaction-Diffusion Limit for a Nonlinear Generation-Recombination Model	15
Free Boundary Minimal Annuli Immersed in the Unit Ball	15
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	15
Long-time asymptotics for coagulation equations with injection that do not have stationary solutions	15
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	15
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	14
Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics	14
Large Deviations and Entropy Production in Viscous Fluid Flows	14
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	14
Kac’s Process with Hard Potentials and a Moderate Angular Singularity	13

Body-Ordered Approximations of Atomic Properties	13
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	13
Boundary Conditions and Polymeric Drag Reduction for the Navier–Stokes Equations	12
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality	12
Violent Nonlinear Collapse in the Interior of Charged Hairy Black Holes	12
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	12
Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems	12
Global Bifurcation and Highest Waves on Water of Finite Depth	11
Stability of Lamb Dipoles	11
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	11
Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold	11
Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones	11
Propagation for Schrödinger Operators with Potentials Singular Along a Hypersurface	11
Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization	11
Model-Free and Prior-Free Data-Driven Inference in Mechanics	11
On the Regularity of Optimal Transports Between Degenerate Densities	10
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	10
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	10
Extremal Functions for Morrey’s Inequality	10
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	10
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	10
Nernst–Planck–Navier–Stokes Systems far from Equilibrium	10
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	10
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	9
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	9
Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum	9
Maximization of Neumann Eigenvalues	9
On the Characterization, Existence and Uniqueness of Steady Solutions to the Hydrostatic Euler Equations in a Nozzle	9
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	9
Hard Spheres Dynamics: Weak Vs Strong Collisions	9
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	9
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	9
Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	9
Geodesic Rays of the N-Body Problem	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8
Higher-Order Boundary Layers and Regularity for Stokes Systems over Rough Boundaries	8
Benjamin–Feir Instability of Stokes Waves in Finite Depth	8
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	8
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	8
Nematic Liquid Crystal Flow with Partially Free Boundary	8
The Tapering Length of Needles in Martensite/Martensite Macrotwins	8
Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island	8
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	8
Correction to: Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	7
Master Equation for the Finite State Space Planning Problem	7
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane	7
On the Critical Point Regularity for Degenerate Diffusive Equations	7
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	7
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	7
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	7

Regularity and Nondegeneracy for Tumor Growth with Nutrients	7
On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$-Critical Nonlinear Schrödinger Equations	7
Variational Aspects of the Two-Center Problem	7
On $$\varGamma $$-Convergence of a Variational Model for Lithium-Ion Batteries	7
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	7
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	7
On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System	7
On the Stability of Laminar Flows Between Plates	7
Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Lipschitz Bounds and Nonautonomous Integrals	7
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	7
Weyl’s Law for the Steklov Problem on Surfaces with Rough Boundary	6
Existence and Stability of Kayaking Orbits for Nematic Liquid Crystals in Simple Shear Flow	6
$$\Gamma $$-Limit for Two-Dimensional Charged Magnetic Zigzag Domain Walls	6
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	6
A Variational Perspective on Auxetic Metamaterials of Checkerboard-Type	6
On the Uniqueness of Schwarzschild–de Sitter Spacetime	6
Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications	6
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	6
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	6
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations	6
Bold Feynman Diagrams and the Luttinger–Ward Formalism Via Gibbs Measures: Non-perturbative Analysis	6
A Variational Singular Perturbation Problem Motivated by Ericksen’s Model for Nematic Liquid Crystals	6
Free Boundary Problem for a Gas Bubble in a Liquid, and Exponential Stability of the Manifold of Spherically Symmetric Equilibria	6
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	6
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	6
The Number of Traveling Wave Families in a Running Water with Coriolis Force	6
Partial Regularity for Fractional Harmonic Maps into Spheres	6
Functions with Bounded Hessian–Schatten Variation: Density, Variational, and Extremality Properties	6
Building Kohn–Sham Potentials for Ground and Excited States	6
Entire Vortex Solutions of Negative Degree for the Anisotropic Ginzburg–Landau System	6
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	5
Porous Medium Equation with a Drift: Free Boundary Regularity	5
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	5
Mathematical Foundations of the Non-Hermitian Skin Effect	5
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	5
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	5
On the Long-Time Behavior of Dissipative Solutions to Models of Non-Newtonian Compressible Fluids	5
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	5
Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	5
Small Data Global Well-Posedness for a Boltzmann Equation via Bilinear Spacetime Estimates	5
Regularity of Solutions to the Muskat Equation	5
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	5
Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity	5
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	5
On Non-uniqueness of Continuous Entropy Solutions to the Isentropic Compressible Euler Equations	5
Long Time Dynamics for Combustion in Random Media	5
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	5
Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States	5
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue	5
A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws	5
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	5
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	5
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	5
Characterization of Minimizers of Aviles–Giga Functionals in Special Domains	5
The Speed of Traveling Waves in a FKPP-Burgers System	5
Well-Posedness of the Dean–Kawasaki and the Nonlinear Dawson–Watanabe Equation with Correlated Noise	5