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 2021-09-01 to 2025-09-01.)

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	96
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	31
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	30
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	29
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	27
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	26
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	25
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Chaotic Phenomena for Generalised N-centre Problems	20
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	20
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Benjamin–Feir Instability of Stokes Waves in Finite Depth	19
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	18
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	18
Partial Regularity for Fractional Harmonic Maps into Spheres	17
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	17
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	17
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	17
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	17
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	16
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	16
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	15
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15

Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Recovery of Coefficients in Semilinear Transport Equations	14
Viscous Shock Solutions to the Stochastic Burgers Equation	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	13
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	13
The Gradient Flow for Entropy on Closed Planar Curves	13
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	13
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	13
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	13
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	12
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	12
Grand-Canonical Optimal Transport	12
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	12
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	12
Calogero Type Bounds in Two Dimensions	12
Minkowski Inequalities via Nonlinear Potential Theory	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
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	11
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	11
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	11
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
On the Existence of Linearly Oscillating Galaxies	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	9
Energy Minimisers with Prescribed Jacobian	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
Coagulation Equations for Non-spherical Clusters	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	9
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	9
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	8
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8
The Rayleigh–Bénard Problem for Compressible Fluid Flows	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	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

Conducting Flat Drops in a Confining Potential	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
The Boltzmann Equation for Uniform Shear Flow	8
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	8
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	6
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Regularity Structures for Quasilinear Singular SPDEs	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	6