학술저널
INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN HETEROGENEOUS MEDIA
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 4
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2006.121 - 13 (13 pages)
- 0
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.
1. Introduction
2. The ε-model
3. Two-Scale Convergence
4. Homogenized Navier-Stokes system
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