Speaker
Florian Oschmann
Description
We investigate the evolutionary incompressible inhomogeneous Navier-Stokes equations in a perforated domain. Provided the inclusions are large enough, we show that, as their number tends to infinity, the limiting system is given by Darcy's law. This result is already known for 1) purely incompressible fluids with constant density, and 2) compressible fluids when the inclusions are the same size as their mutual distance. We generalize these results for incompressible fluids with non-constant density. Additionally, we give convergence rates.
