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 2021-06-01 to 2025-06-01.)

Article	Citations
Benjamin–Feir Instability of Stokes Waves in Finite Depth	92
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	31
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	27
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	26
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	25
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	25
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	24
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	24
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	19
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	19
Chaotic Phenomena for Generalised N-centre Problems	19
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	18
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	17
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	17
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	16
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	16
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Partial Regularity for Fractional Harmonic Maps into Spheres	16
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	15
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	15
Porous Medium Equation with a Drift: Free Boundary Regularity	15
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	15
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	15

Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	15
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	14
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	14
Recovery of Coefficients in Semilinear Transport Equations	14
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	13
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	13
Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form	13
Viscous Shock Solutions to the Stochastic Burgers Equation	13
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	12
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	12
Calogero Type Bounds in Two Dimensions	12
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	12
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	11
The Gradient Flow for Entropy on Closed Planar Curves	11
Minkowski Inequalities via Nonlinear Potential Theory	11
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	11
Grand-Canonical Optimal Transport	11
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	11
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	10
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	10
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
On the Existence of Linearly Oscillating Galaxies	10
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	10
Conducting Flat Drops in a Confining Potential	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	9
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	9
Coagulation Equations for Non-spherical Clusters	9
Energy Minimisers with Prescribed Jacobian	9
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
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	9
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	8
Bold Feynman Diagrams and the Luttinger–Ward Formalism via Gibbs Measures: Perturbative Approach	8
Regularity and Nondegeneracy for Tumor Growth with Nutrients	8

The Boltzmann Equation for Uniform Shear Flow	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8
The Rayleigh–Bénard Problem for Compressible Fluid Flows	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	8
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
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
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	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
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	7
Characterization of Generalized Young Measures Generated by $${\mathcal {A}}$$-free Measures	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Bold Feynman Diagrams and the Luttinger–Ward Formalism Via Gibbs Measures: Non-perturbative Analysis	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body	6
A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	6
Regularity Structures for Quasilinear Singular SPDEs	6
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	6
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	6
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	6