Archive for Rational Mechanics and Analysis

Papers
(The H4-Index of Archive for Rational Mechanics and Analysis is 16. 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.)
ArticleCitations
Lipschitz Bounds and Nonautonomous Integrals74
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains29
Traveling Quasi-periodic Water Waves with Constant Vorticity26
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data25
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations23
The Bernstein Technique for Integro-Differential Equations21
Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter20
Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics20
Anticipation Breeds Alignment20
Complete Entropic Inequalities for Quantum Markov Chains19
Structural Stability of Supersonic Solutions to the Euler–Poisson System19
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions19
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves19
Strong Convergence of the Vorticity for the 2D Euler Equations in the Inviscid Limit18
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions18
Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds16
Stability of Lamb Dipoles16
0.042320966720581