Homogenization of the Stokes type model in porous media with slip boundary conditions

Abstract

This work is devoted to the study of the limiting behaviour of the Stokes type fluid flows in porous media. The boundary conditions here are of the Fourier-Neumann's type on the boundary of the holes. Under the periodic hypothesis on the structure of the medium and on the coefficients of the viscosity tensor, one convergence result is proved. Our approach is the well known two-scale convergence method.