Effective models of the Navier-Stokes flow in porous media with a thin fissure

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Zhao, Hongxing¹  Yao, Zheng-an² 

[1] GuangZhou Univ, Dept Math, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

关键词: Homogenization;    Navier-Stokes equations;    Porous media;   

DOI  :  10.1016/j.jmaa.2011.09.005

来源: Elsevier

【 摘 要 】

We consider the Navier-Stokes equations in a bounded domain consisting of two porous media with a thin fissure {0 <= x(n) <= eta} of width eta between them. We suppose the porous medium having a periodic structure with a period epsilon and consider the limit when epsilon and eta tend to zero. The effective behaviors in porous media and the fissure are determined, which depend on the comparison between epsilon and eta. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free