The talk Homogenization of stationary Navier-Stokes equations in domains
with tiny holes, by Yong Lu, will be held on Monday March 16, 2015 at 8:30 in room K4.
Abstract
We consider the homogenization problem for the stationary compressible Navier-Stokes equations describing a steady flow of a compressible Newtonian fluid in a bounded three dimensional domain. We focus on the case where the domain is perforated with very tiny holes for which the diameters are much smaller than their mutual distances. We show that the homogenization process does not change the motion of the fluids: In the asymptotic limit, we obtain again the same system of equations. This coincides with similar results for the stationary Stokes and stationary incompressible Navier-Stokes system.