10 citations · 18 across the 6 of their papers we have counts for
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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 . We show that th…
math.AP2017★ 1 cited
Inertial Manifolds for the Hyperbolic Relaxation of Semilinear Parabolic Equations
V. Chepyzhov, A. Kostianko, S. Zelik
The paper gives a comprehensive study of Inertial Manifolds for hyperbolic relaxations of an abstract semilinear parabolic equation in a Hilbert space. A new scheme of constructing…