Periodic reiterated homogenization of stationary Navier–Stokes type equations

Abstract

This paper is devoted to the reiterated homogenization of stationary Navier–Stokes type equations in a periodic structure. The usual Laplace operator in the classical Navier–Stokes equations is here replaced by an elliptic linear differential operator of order two, in divergence form with periodically oscillating coefficients. Our approach is the well known two-scale convergence method. One convergence theorem is proved and we derive de macroscopic homogenized model.