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 2022-06-01 to 2026-06-01.)

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
Chaotic Phenomena for Generalised N-centre Problems	21
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Uniform Vorticity Depletion and Inviscid Damping for Periodic Shear Flows in the High Reynolds Number Regime	21
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	20
Unique Continuation for Area Minimizing Currents	20
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	19
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	19
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	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	17
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
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
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
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
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
Recovery of Coefficients in Semilinear Transport Equations	14
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	14
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
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
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
Convergence of Drift-Diffusion PDEs Arising as Wasserstein Gradient Flows of Convex Functions	12
The Gradient Flow for Entropy on Closed Planar Curves	12
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
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	11
Calogero Type Bounds in Two Dimensions	11
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
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
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
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
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
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
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
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
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 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
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
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	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