OOIR: Observatory of International Research

Papers

(The TQCC of Archive for Rational Mechanics and Analysis is 6. 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 2022-05-01 to 2026-05-01.)

Article	Citations
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	50
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	39
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	32
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	30
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	28
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	28
Benjamin–Feir Instability of Stokes Waves in Finite Depth	26
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	24
Chaotic Phenomena for Generalised N-centre Problems	23
Uniform Vorticity Depletion and Inviscid Damping for Periodic Shear Flows in the High Reynolds Number Regime	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	20
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	20
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	19
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	19
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	18
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	17
Global Solution of 2D Hyperbolic Liquid Crystal System for Small Initial Data	17
Recovery of Coefficients in Semilinear Transport Equations	16
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	16
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	16
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	16
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	15

Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	15
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	15
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	15
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	15
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	15
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
The Gradient Flow for Entropy on Closed Planar Curves	14
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	14
Uniqueness of Gauge Covariant Renormalisation of Stochastic 3D Yang–Mills–Higgs	14
A Continuation Criterion for the Landau Equation with Very Soft and Coulomb Potentials	14
Calogero Type Bounds in Two Dimensions	14
Grand-Canonical Optimal Transport	13
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	12
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
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	12
Fujita-Kato solutions and optimal time decay for the Vlasov-Navier–Stokes system in the whole space	12
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	12
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
On the Regularity of Non-scattering Anisotropic Inhomogeneities	11
Two-Dimensional Fluids Via Matrix Hydrodynamics	11
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	10
Coagulation Equations for Non-spherical Clusters	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
A Uniform Bound for Solutions to a Thermo-diffusive System	10
Homogenization of a Vertical Oscillating Neumann Condition	10
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	10
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	10
The Rayleigh–Bénard Problem for Compressible Fluid Flows	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
One Dimensional Energy Cascades in a Fractional Quasilinear NLS	9
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	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
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	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
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	9
Regularity and Nondegeneracy for Tumor Growth with Nutrients	9
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
Higher Order Boundary Harnack Principle via Degenerate Equations	8
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	8
Liquid Drop with Capillarity and Rotating Traveling Waves	8

On the Regularity of Optimal Transports Between Degenerate Densities	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	8
Linear Vortex Symmetrization: The Spectral Density Function	8
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	8
$$L^2$$-Based Stability of Blowup with Log Correction for Semilinear Heat Equation	8
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	8
Asymptotic Behavior of a Diffused Interface Volume-Preserving Mean Curvature Flow	8
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	8
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	7
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost	7
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
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
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	7
Delaunay-Like Compact Equilibria in the Liquid Drop Model	7
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Regularity Structures for Quasilinear Singular SPDEs	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	7
Regularity for Double Phase Problems at Nearly Linear Growth	6
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	6
Metastability and Time Scales for Parabolic Equations with Drift 1: The First Time Scale	6
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	6
Convergence of Deterministic Growth Models	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes	6
Rigorous Derivation of Damped–Driven Wave Turbulence Theory	6
The Weakly Coupled Two-Dimensional Fermi Polaron	6
Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole	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
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Local Decay Estimates	6
A Free Boundary Monge–Ampère Equation and Applications to Complete Calabi–Yau Metrics	6
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	6
Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime	6
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
Sharp Quantitative Talenti Inequality in Particular Cases	6