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 2020-11-01 to 2024-11-01.)

Article	Citations
Lipschitz Bounds and Nonautonomous Integrals	74
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains	29
Traveling Quasi-periodic Water Waves with Constant Vorticity	26
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	25
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations	23
The Bernstein Technique for Integro-Differential Equations	21
Anticipation Breeds Alignment	20
Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter	20
Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics	20
Structural Stability of Supersonic Solutions to the Euler–Poisson System	19
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions	19
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves	19
Complete Entropic Inequalities for Quantum Markov Chains	19
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions	18
Strong Convergence of the Vorticity for the 2D Euler Equations in the Inviscid Limit	18
Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds	16
Stability of Lamb Dipoles	16
Minkowski Inequalities via Nonlinear Potential Theory	15
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	15
Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities	15
Infinite-Dimensional Inverse Problems with Finite Measurements	15
On the Serrin-Type Condition on One Velocity Component for the Navier–Stokes Equations	15
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	14
On the Problem of Maximal $$L^q$$-regularity for Viscous Hamilton–Jacobi Equations	14
Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere	14

Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space	14
A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons	13
Nernst–Planck–Navier–Stokes Systems far from Equilibrium	13
Nonlocal-Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit	13
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	13
Stability and Instability of Self-Gravitating Relativistic Matter Distributions	12
A Hele-Shaw Limit Without Monotonicity	12
Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints	12
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	12
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations	12
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	12
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	11
Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations	11
Quasilinear Schrödinger Equations III: Large Data and Short Time	11
Anomalous Dissipation in Passive Scalar Transport	11
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	11
Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems	11
Curvature-Driven Wrinkling of Thin Elastic Shells	11
Nonlinear Hyperbolic Waves in Relativistic Gases of Massive Particles with Synge Energy	11
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations	11
Two-Dimensional Pseudosteady Flows Around a Sharp Corner	10
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	10
Piecewise Smooth Stationary Euler Flows with Compact Support Via Overdetermined Boundary Problems	10
A New Approach to the Rayleigh–Taylor Instability	10
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue	10
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	10
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	10
On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases	10
Local Well-Posedness and Incompressible Limit of the Free-Boundary Problem in Compressible Elastodynamics	9
Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation	9
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	9
Wave Phenomena to the Three-Dimensional Fluid-Particle Model	9
Free Boundary Regularity for Almost Every Solution to the Signorini Problem	9
Nonuniqueness and Existence of Continuous, Globally Dissipative Euler Flows	9
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	9
Master Equation for the Finite State Space Planning Problem	9
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	9
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	9
Crystallization to the Square Lattice for a Two-Body Potential	9
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	9
Isodiametry, Variance, and Regular Simplices from Particle Interactions	8
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	8
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	8
Stationary Non-equilibrium Solutions for Coagulation Systems	8
Carleson Measure Estimates for the Green Function	8
Stabilization of the Linearized Water Tank System	8
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	8
The Relativistic Quantum Boltzmann Equation Near Equilibrium	8
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	8
Linear Vortex Symmetrization: The Spectral Density Function	7

Emergence of Rigid Polycrystals from Atomistic Systems with Heitmann–Radin Sticky Disk Energy	7
Large KAM Tori for Quasi-linear Perturbations of KdV	7
Regularity of Stationary Boltzmann Equation in Convex Domains	7
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	7
Darcy’s Law with a Source Term	7
Sobolev Gradients for the Möbius Energy	7
On the Stability of Laminar Flows Between Plates	7
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	7
The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles	7
Nonlinear Stability of MHD Contact Discontinuities with Surface Tension	7
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	7
Partially Regular Weak Solutions of the Navier–Stokes Equations in $$\mathbb {R}^4 \times [0,\infty [$$	7
Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of NLS Type	7
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	7
Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	7
Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum	7
Nematic–Isotropic Phase Transition in Liquid Crystals: A Variational Derivation of Effective Geometric Motions	7
Regularity for Double Phase Problems at Nearly Linear Growth	7
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	7
Nonexistence of Subcritical Solitary Waves	7
Characterization of Generalized Young Measures Generated by $${\mathcal {A}}$$-free Measures	7
Porous Medium Equation with a Drift: Free Boundary Regularity	7
A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws	6
Building Kohn–Sham Potentials for Ground and Excited States	6
On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System	6
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	6
Rigidity of Branching Microstructures in Shape Memory Alloys	6
A Comparison Estimate for Singular p-Laplace Equations and Its Consequences	6
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	6
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	6
Bifurcation of Symmetric Domain Walls for the Bénard–Rayleigh Convection Problem	6
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density	6
Hard Spheres Dynamics: Weak Vs Strong Collisions	6
The Nonlinear Schrödinger Equation for Orthonormal Functions: Existence of Ground States	6
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	6
On the Slightly Perturbed De Gregorio Model on $$S^1$$	6
Oscillation and Concentration in Sequences of PDE Constrained Measures	6
Geometric Hydrodynamics in Open Problems	6
Characterization of Minimizers of Aviles–Giga Functionals in Special Domains	6
The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics	6
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	6
Stationary Structures Near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations	6
Unstable Stokes Waves	6
From Steklov to Neumann via homogenisation	6
Topological Singular Set of Vector-Valued Maps, II: $$\varGamma $$-convergence for Ginzburg–Landau type functionals	6