Homogenization of Stokes equations in perforated domains: a unified approach
Analysis of PDEs
2019-11-13 v2
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].
Keywords
Cite
@article{arxiv.1908.08259,
title = {Homogenization of Stokes equations in perforated domains: a unified approach},
author = {Yong Lu},
journal= {arXiv preprint arXiv:1908.08259},
year = {2019}
}
Comments
13 pages