Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary

Abstract

We prove the convergence of the homogenization process for a nonstationary Navier-Stokes system in a porous medium. The result of homogenization is Darcy's law, as in the case of the Stokes equation, but the convergence of pressures is in a different function space. © 1991 Fondazione Annali di Matematica Pura ed Applicata.