Homogenization of Stokes equations in perforated domains: a unified approach

Yong Lu

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arXiv · 1908.08259

Homogenization of Stokes equations in perforated domains: a unified approach

Yong Lu

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Abstract

We consider the homogenization of the Stokes equations in a domain perforated with a large number of small holes which are periodically distributed. In [1,2], Allaire 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 [17].

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Yong Lu. 2019-08-22. Homogenization of Stokes equations in perforated domains: a unified approach. https://arxiv.org/abs/1908.08259

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