Display Abstract

Title On the stability of the weak attractor of the 3D Navier-Stokes equations

Name Michele Coti Zelati
Country USA
Email micotize@indiana.edu
Submit Time 2014-02-19 09:19:29
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
We consider the three-dimensional Navier-Stokes-Voigt (NSV) equations and we analyze, from the asymptotic behavior viewpoint, its Navier-Stokes (NS) limit as the relaxation parameter vanishes. We show that the NSV-attractors converge to the weak NS-attractor in the Hausdorff semidistance induced by the weak $L^2$-metric on the absorbing set of the Navier-Stokes equations. Some results related to the strong topology of $L^2$ are also proved.