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 2020-05-01 to 2024-05-01.)
ArticleCitations
Lipschitz Bounds and Nonautonomous Integrals66
Transition Threshold for the 2-D Couette Flow in a Finite Channel35
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains25
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
Analysis of the Viscosity of Dilute Suspensions Beyond Einstein’s Formula18
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data18
Flocking Hydrodynamics with External Potentials18
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions18
The Bernstein Technique for Integro-Differential Equations18
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions17
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves16
Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics16
The Nonexistence of Vortices for Rotating Bose–Einstein Condensates with Attractive Interactions16
Nonlocal-to-Local Convergence of Cahn–Hilliard Equations: Neumann Boundary Conditions and Viscosity Terms16
Bounded Solutions of Ideal MHD with Compact Support in Space-Time16
Structural Stability of Supersonic Solutions to the Euler–Poisson System16
Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter16
Anticipation Breeds Alignment16
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