The talk Bogovskii type operators in perforated domains and homogenization problems for the compressible Navier-Stokes system by Yong Lu, will be held on Monday October 19, 2015 at 9:00 in room K3.
Abstract
We study the inverse of the divergence operator on a domain perforated by a system of tiny holes. We show that such inverse can be constructed with a norm independent of perforation, provided the holes are suitably small and their mutual distance suitably large. Applications are given to problems arising in homogenization of steady compressible fluid flows.