Periodic homogenization of the non-stationary Navier–Stokes type equations

Abstract

In this paper we study the homogenization of the Cauchy–Dirichlet initial boundary value problems for the Navier–Stokes type equations, on one hand in an open set \(\Omega \) of \(\mathbb {R}^{N}\), on the other hand in porous media \(\Omega ^{\varepsilon }\). In the second case, the equations are classical unstationary Navier–Stokes one, and the porous media are periodic.