Homogenization of Stokes Equations in Perforated Domains: A Unified Approach

被引：16

作者：

Lu, Yong ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2020年 / 22卷 / 03期

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

页数：13

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