Homogenization of the non-stationary Stokes equations with periodic viscosity

다국어 초록 (Multilingual Abstract)

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].

다국어 초록 (Multilingual Abstract)

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].

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