Journal of the
Korean Mathematical Society JKMS

We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and corrector 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's book [Navier-Stokes Equations: Theory and Numerical Analysis, North-Holland, Amsterdam, 1984].

Keywords: homogenization, periodic viscosity, non-stationary Stokes equations, oscillating test functions

MSC numbers: 35B27, 35Q30, 76M50