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 2021-04-01 to 2025-04-01.)

Article	Citations
Free Boundary Minimal Annuli Immersed in the Unit Ball	91
Benjamin–Feir Instability of Stokes Waves in Finite Depth	29
Model-Free and Prior-Free Data-Driven Inference in Mechanics	26
Objective Rates as Covariant Derivatives on the Manifold of Riemannian Metrics	25
Nematic Liquid Crystal Flow with Partially Free Boundary	23
Regularity and Nondegeneracy for Tumor Growth with Nutrients	23
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	23
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	22
The Viscosity Method for Min–Max Free Boundary Minimal Surfaces	20
Kac’s Process with Hard Potentials and a Moderate Angular Singularity	19
Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization	19
On the Regularity of Optimal Transports Between Degenerate Densities	18
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	17
Correction to: Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	17
Stability of Lamb Dipoles	17
Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones	17
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	16
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	16
L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	16
Body-Ordered Approximations of Atomic Properties	16
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	16
On Maximally Mixed Equilibria of Two-Dimensional Perfect Fluids	16
A Counterexample to the Theorem of Laplace–Lagrange on the Stability of Semimajor Axes	15
Maximization of Neumann Eigenvalues	15
Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains	14

Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach	14
Higher-Order Boundary Layers and Regularity for Stokes Systems over Rough Boundaries	14
Global Bifurcation and Highest Waves on Water of Finite Depth	13
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	13
Hypocoercivity and Reaction-Diffusion Limit for a Nonlinear Generation-Recombination Model	13
Balanced-Viscosity Solutions to Infinite-Dimensional Multi-Rate Systems	13
The $$L^p$$ Teichmüller Theory: Existence and Regularity of Critical Points	12
Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics	12
The Tapering Length of Needles in Martensite/Martensite Macrotwins	12
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality	12
Long-time asymptotics for coagulation equations with injection that do not have stationary solutions	12
Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System	11
Violent Nonlinear Collapse in the Interior of Charged Hairy Black Holes	11
Chaotic Phenomena for Generalised N-centre Problems	11
Unconditional Stability of Equilibria in Thermally Driven Compressible Fluids	11
Propagation for Schrödinger Operators with Potentials Singular Along a Hypersurface	11
Higher Order Boundary Harnack Principle via Degenerate Equations	11
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	11
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	11
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	10
On the Characterization, Existence and Uniqueness of Steady Solutions to the Hydrostatic Euler Equations in a Nozzle	10
Extremal Functions for Morrey’s Inequality	10
Boundary Conditions and Polymeric Drag Reduction for the Navier–Stokes Equations	10
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner–Nordström black holes	10
From Incommensurate Bilayer Heterostructures to Allen–Cahn: An Exact Thermodynamic Limit	10
Large Deviations and Entropy Production in Viscous Fluid Flows	10
Propagation of Uniform Upper Bounds for the Spatially Homogeneous Relativistic Boltzmann Equation	10
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces	10
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	10
Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island	10
Symbolic Dynamics for the Anisotropic N-Centre Problem at Negative Energies	9
Stochastic Homogenization of Hamilton–Jacobi Equations on a Junction	9
Geodesic Rays of the N-Body Problem	9
Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems	9
Existence and Computation of Generalized Wannier Functions for Non-Periodic Systems in Two Dimensions and Higher	9
Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold	9
The Boltzmann Equation for Uniform Shear Flow	9
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	8
Lipschitz Bounds and Nonautonomous Integrals	8
Conservation Laws for p-Harmonic Systems with Antisymmetric Potentials and Applications	8
The Bernstein Technique for Integro-Differential Equations	8
Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space	8
Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension $$(n-1)$$ in Reaction–Diffusion Equations as the Speeds Go to Infinity	8
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	8
Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum	8
Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain	8
Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence	8
Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem	8
Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems	8
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	8

Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	8
Partial Regularity for Fractional Harmonic Maps into Spheres	8
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	8
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	8
Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem	7
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	7
Fine Properties of Geodesics and Geodesic $$\lambda $$-Convexity for the Hellinger–Kantorovich Distance	7
Well-Posedness of the Dean–Kawasaki and the Nonlinear Dawson–Watanabe Equation with Correlated Noise	7
Gradient Blow-Up for Dispersive and Dissipative Perturbations of the Burgers Equation	7
Regularity of Solutions to the Muskat Equation	7
Building Kohn–Sham Potentials for Ground and Excited States	7
On the Uniqueness of Schwarzschild–de Sitter Spacetime	7
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	7
A Variational Perspective on Auxetic Metamaterials of Checkerboard-Type	7
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	7
Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications	7
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	7
The Least Action Admissibility Principle	7
Free Boundary Problem for a Gas Bubble in a Liquid, and Exponential Stability of the Manifold of Spherically Symmetric Equilibria	7
Weyl’s Law for the Steklov Problem on Surfaces with Rough Boundary	7
Mathematical Foundations of the Non-Hermitian Skin Effect	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	6
Observability for Heat Equations with Time-Dependent Analytic Memory	6
Constraint Maps with Free Boundaries: the Obstacle Case	6
Regularity and compactness for critical points of degenerate polyconvex energies	6
A New Condition on the Vorticity for Partial Regularity of a Local Suitable Weak Solution to the Navier–Stokes Equations	6
On Non-uniqueness of Continuous Entropy Solutions to the Isentropic Compressible Euler Equations	6
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds	6
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	6
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	6
Oscillations in Wave Map Systems and Homogenization of the Einstein Equations in Symmetry	6
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	6
Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field	6
Geometric Hydrodynamics in Open Problems	6
A PDE Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation	6
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	6
The Equality Case in the Substatic Heintze–Karcher Inequality	6
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	6
Entire Vortex Solutions of Negative Degree for the Anisotropic Ginzburg–Landau System	6