Acknowledgement
Supported by : Dankook University
Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 19 Issue 4
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- Pages.335-347
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- 2006
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN HETEROGENEOUS MEDIA
- Pak, Hee Chul (Department of Applied Mathematics and Institute of Basic Sciences Dankook University)
- Received : 2006.09.28
- Published : 2006.12.31
Abstract
The homogenization of non-stationary Navier-Stokes equations on anisotropic heterogeneous media is investigated. The effective coefficients of the homogenized equations are found. It is pointed out that the resulting homogenized limit systems are of the same form of non-stationary Navier-Stokes equations with suitable coefficients. Also, steady Stokes equations as cell problems are identified. A compactness theorem is proved in order to deal with time dependent homogenization problems.