1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 1 cited
On the spectrum of the Stokes operator
Alexei A. Ilyin
We prove Li--Yau-type lower bounds for the eigenvalues of the Stokes operator and give applications to the attractors of the Navier--Stokes equations.
math.AP2007
On the Domain of Analyticity and Small Scales for the Solutions of the Damped-driven 2D Navier-Stokes Equations
Alexei A. Ilyin, Edriss S. Titi
We obtain a logarithmically sharp estimate for the space-analyticity radius of the solutions of the damped-driven 2D Navier-Stokes equations with periodic boundary conditions and r…