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 2022-08-01 to 2026-08-01.)

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
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	14
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
Convergence of Drift-Diffusion PDEs Arising as Wasserstein Gradient Flows of Convex Functions	13
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
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
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
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
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
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
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	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
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
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
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
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