HOMOGENIZATION OF THE STOKES PROBLEM WITH NONHOMOGENEOUS SLIP BOUNDARY-CONDITIONS

We study the Stokes system with non-homogeneous Fourier boundary condi tions depending on a parameter, in a domain with periodic inclusions o f the size of the period. Following the values of this parameter, we o btain at the limit a Darcy's law, a Brinkmann type equation or a Stoke s type equation. We also present a physical model to which the results apply. This model describes the Row of an incompressible viscous flui d through a porous medium under the action of an exterior electric fie ld.