数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 183-193.doi: 10.1016/S0252-9602(13)60135-6

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HOMOGENIZATION OF THE INCOMPRESSIBLE NAVIER-STOKES FLUID WITH OSCILLATION COEFFICIENT

赵红星   

  1. College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
    Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou 510006, China
  • 收稿日期:2012-09-05 出版日期:2014-01-20 发布日期:2014-01-20

HOMOGENIZATION OF THE INCOMPRESSIBLE NAVIER-STOKES FLUID WITH OSCILLATION COEFFICIENT

 ZHAO Hong-Xing   

  1. College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
    Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou 510006, China
  • Received:2012-09-05 Online:2014-01-20 Published:2014-01-20

摘要:

We study the homogenization of the incompressible Navier-Stokes equations with periodic oscillating coefficient in a bounded non-homogeneous media. To do that, we introduce a generalized compensate compactness result and a suitable class of test function to this problem. By passing the limit, we obtain the homogenized model of this problem.

关键词: Div-curl lemma, homogenization, Navier-Stokes equations

Abstract:

We study the homogenization of the incompressible Navier-Stokes equations with periodic oscillating coefficient in a bounded non-homogeneous media. To do that, we introduce a generalized compensate compactness result and a suitable class of test function to this problem. By passing the limit, we obtain the homogenized model of this problem.

Key words: Div-curl lemma, homogenization, Navier-Stokes equations

中图分类号: 

  • 76D05