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 2020-04-01 to 2024-04-01.)
ArticleCitations
Lipschitz Bounds and Nonautonomous Integrals63
Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion44
Transition Threshold for the 2-D Couette Flow in a Finite Channel32
On Traffic Flow with Nonlocal Flux: A Relaxation Representation28
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains23
The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary23
Traveling Quasi-periodic Water Waves with Constant Vorticity22
Thermoviscoelasticity in Kelvin–Voigt Rheology at Large Strains20
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations19
Flocking Hydrodynamics with External Potentials18
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data18
Analysis of the Viscosity of Dilute Suspensions Beyond Einstein’s Formula18
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions17
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions17
The Bernstein Technique for Integro-Differential Equations16
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves16
The Nonexistence of Vortices for Rotating Bose–Einstein Condensates with Attractive Interactions16
Structural Stability of Supersonic Solutions to the Euler–Poisson System16
Anticipation Breeds Alignment16
0.033138990402222