2D Navier-Stokes equations on a bounded domain with holes and Navier friction boundary conditions

Abstract: We will discuss the large time behavior of solutions of 2D Navier-Stokes in bounded domains which are not necessarily simply connected, when we impose Navier friction boundary conditions. We establish exponential time decay, for both velocity and vorticity, under various assumptions on the friction coefficient relative to curvature of the boundary, for different types of domains. We also discuss the special role, played by the disk and the annulus, in this analysis. This is joint work with Christophe Lacave, Milton Lopes Filho and Jim Kelliher.

analysis of PDEs

Audience: researchers in the topic

PDE seminar via Zoom