Acta mathematica scientia, Series B >
HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM
Received date: 2005-10-12
Revised date: 2006-04-26
Online published: 2008-10-20
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
Yao Zhengan , Zhao Hongxing . HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM[J]. Acta mathematica scientia, Series B, 2008 , 28(4) : 963 -974 . DOI: 10.1016/S0252-9602(08)60096-X
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