Homogenization of stationary Navier-Stokes equations in domains with tiny holes (joint work with Eduard Feireisl).

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.