A. Ilyin

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 2017 · math.APShow all

2 papers · 2 filters

math.AP2017★ 9 cited

Hyperbolic relaxation of the 2D Navier-Stokes equations in a bounded domain

Alexei Ilyin, Yuri Rykov, Sergey Zelik

A hyperbolic relaxation of the classical Navier-Stokes problem in 2D bounded domain with Dirichlet boundary conditions is considered. It is proved that this relaxed problem possess…

math.AP2017★ 4 cited

Vanishing viscosity limit for global attractors for the damped Navier--Stokes system with stress free boundary conditions

Vladimir Chepyzhov, Alexei Ilyin, Sergey Zelik

We consider the damped and driven Navier--Stokes system with stress free boundary conditions and the damped Euler system in a bounded domain $Ω \subset R^{2}$ . We show that th…