LP ESTIMATES FOR THE HOMOGENIZATION OF STOKES PROBLEM IN A PERFORATED DOMAIN

被引：3

作者：

Mecherbet, Amina ^{[1
]}

Hillairet, Matthieu ^{[1
]}

机构：

[1] Univ Montpellier, CNRS, Inst Montpellierain Alexander Grothendieck, Pl Eugene Bataillon, F-34090 Montpellier, France

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2020年 / 19卷 / 01期

关键词：

Stokes equations; homogenization; suspension flows; EQUATIONS; VLASOV;

D O I：

10.1017/S1474748018000014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Stokes equations in a perforated domain. When the number of holes increases while their radius tends to 0, it is proven in Desvillettes et al. [J. Stat. Phys. 131 (2008) 941{967], under suitable dilution assumptions, that the solution is well approximated asymptotically by solving a Stokes{Brinkman equation. We provide here quantitative estimates in L p -norms of this convergence.

引用

页码：231 / 258

页数：28

共 15 条

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