Acta mathematica scientia,Series B

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 76D05
Trendmd