HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM  被引量:2

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

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作  者:姚正安 赵红星 

机构地区:[1]Department of Mathematics,Sun Yat-sen University

出  处:《Acta Mathematica Scientia》2008年第4期963-974,共12页数学物理学报(B辑英文版)

基  金:National NaturalScience Foundation of China(10171113 and 10471156);Natural Science Foundation of Guangdong(4009793)

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.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 

分 类 号:O35[理学—流体力学] O175.24[理学—力学]

 

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