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HOMOGENIZATION OF THE NON-STATIONARY STOKES EQUATIONS WITH PERIODIC VISCOSITY
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 Title & Authors
HOMOGENIZATION OF THE NON-STATIONARY STOKES EQUATIONS WITH PERIODIC VISCOSITY
Choe, Hi-Jun; Kim, Hyun-Seok;
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 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;
 Language
English
 Cited by
1.
Periodic homogenization of the non-stationary Navier–Stokes type equations, Afrika Matematika, 2016  crossref(new windwow)
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