Homogenization of Stokes Equations in Perforated Domains: A Unified Approach

被引:17
作者
Lu, Yong [1 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
关键词
Homogenization; Stokes equations; Perforated domain; Generalized cell problem; VOLUME DISTRIBUTION; TINY HOLES;
D O I
10.1007/s00021-020-00506-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the homogenization of the Stokes equations in a domain perforated with a large number of small holes which are periodically distributed. Allaire (Arch Ration Mech Anal 113(3):209-259, 1990, Arch Ration Mech Anal 113(3):261-298 1990), gave a systematic study on this problem. In this paper, we introduce a unified proof for different sizes of holes for the homogenization of the Stokes equations by employing a generalized cell problem inspired by Tartar (in: Sanchez-Palencia (ed) Nonhomogeneous media and vibration theory, 1980).
引用
收藏
页数:13
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