[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2009.46.5.1041

HOMOGENIZATION OF THE NON-STATIONARY STOKES EQUATIONS WITH PERIODIC VISCOSITY

Choe, Hi-Jun (DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY)
Kim, Hyun-Seok (DEPARTMENT OF MATHEMATICS SOGANG UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 1041-1069 More about this Journal

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].

Keywords

homogenization; periodic viscosity; non-stationary Stokes equations; oscillating test functions;

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