학술논문
INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN HETEROGENEOUS MEDIA
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- Hee Chul Pak
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 4, 1~13쪽, 전체 13쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2006.12.30
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국문 초록
영문 초록
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.
목차
1. Introduction
2. The ε-model
3. Two-Scale Convergence
4. Homogenized Navier-Stokes system
키워드
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- CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES
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- THE DOMINATION COVER PEBBLING NUMBER OF SOME GRAPHS
- ON EQUIVALENT NORMS TO BLOCH NORM IN C
- ON CROSSING NUMBER OF KNOTS
- INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN HETEROGENEOUS MEDIA
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- ON UNIFORM CONVERGENCE THEOREMS FOR THE INTERIOR INTEGRAL
- GIRSANOV THEOREM FOR GAUSSIAN PROCESS WITH INDEPENDENT INCREMENTS
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- A SHARP RESULT FOR A NONLINEAR LAPLACIAN DIFFERENTIAL EQUATION
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참고문헌
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