数学物理学报(英文版)

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HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

姚正安; 赵红星   

  1. 中山大学数学系, 广州 510275
  • 收稿日期:2005-10-12 修回日期:2006-04-26 出版日期:2008-10-20 发布日期:2008-10-20
  • 通讯作者: 姚正安
  • 基金资助:

    The research is partially supported by National Natural Science Foundation of China (10171113 and 10471156) and Natural Science Foundation of Guangdong (4009793)

HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

Yao Zhengan; Zhao Hongxing   

  1. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
  • Received:2005-10-12 Revised:2006-04-26 Online:2008-10-20 Published:2008-10-20
  • Contact: Yao Zhengan

摘要:

The article studies the homogenization of a stationary Navier-Stokes
fluid in porous medium with thin film under Dirichlet boundary condition. At the end of the article, "Darcy’s law" is rigorously derived from this model as the parameter ε tends to zero, which is independent of the coordinates towards the thickness.

关键词: Homogenization, convergence, Navier-Stokes, porous medium, thin film

Abstract:

The article studies the homogenization of a stationary Navier-Stokes
fluid in porous medium with thin film under Dirichlet boundary condition. At the end of the article, "Darcy’s law" is rigorously derived from this model as the parameter ε tends to zero, which is independent of the coordinates towards the thickness.

Key words: Homogenization, convergence, Navier-Stokes, porous medium, thin film

中图分类号: 

  • 76D05