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Homogenization of Stokes equations in perforated domains: a unified approach
Published 22 Aug 2019 in math.AP | (1908.08259v2)
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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