Homogenization of the non-stationary Stokes equations with periodic viscosity

Abstract. We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and correc-tor theorem are proved under a very general assumption on the viscosity coefficients and data. The proofs are based on a weak formulation suitable for an application of classical Tartar’s method of oscillating test functions. Such a weak formulation is derived by adapting an argument in Teman’