activity
20052023
most citedSharp estimates for the number of degrees of freedom for the damped-driven 2D Navier--Stokes equations

47 citations · 85 across the 21 of their papers we have counts for

collaborators
Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020

Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations

Alexei Ilyin, Sergey Zelik

We prove existence of the global attractor of the damped and driven 2D Euler--Bardina equations on the torus and give an explicit two-sided estimate of its dimension that is sharp…

math.AP2020

Lieb-Thirring constant on the sphere and on the torus

Alexei Ilyin, Ari Laptev, Sergey Zelik

We prove on the 2D sphere and on the 2D torus the Lieb-Thirring inequalities with improved constants for orthonormal families of scalar and vector functions.