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Homogenization of a stationary navier-stokes flow in porous medium with thin film
Authors:Yao Zhengan  Zhao Hongxing  
Affiliation:Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
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 e tends to zero, which is independent of the coordinates towards the thickness.
Keywords:Homogenization  convergence  Navier-Stokes  porous medium  thin film
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