Homogenization of the non-stationary stokes equations with periodic viscosity

Hi Jun Choe; Hyunseok Kim

doi:10.4134/JKMS.2009.46.5.1041

Homogenization of the non-stationary stokes equations with periodic viscosity

Hi Jun Choe, Hyunseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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's book [Navier-Stokes Equations: Theory and Numerical Analysis, North- Holland, Amsterdam, 1984].

Original language	English
Pages (from-to)	1041-1069
Number of pages	29
Journal	Journal of the Korean Mathematical Society
Volume	46
Issue number	5
DOIs	https://doi.org/10.4134/JKMS.2009.46.5.1041
Publication status	Published - 2009 Sep

All Science Journal Classification (ASJC) codes

Mathematics(all)

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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's book [Navier-Stokes Equations: Theory and Numerical Analysis, North- Holland, Amsterdam, 1984].",

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