Homogenization of the evolutionary Navier-Stokes system

被引：31

作者：

Feireisl, Eduard ^{[1
]}

Namlyeyeva, Yuliya ^{[1
,2
]}

Necasova, Sarka ^{[1
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

[2] NAS Ukraine, Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

MANUSCRIPTA MATHEMATICA | 2016年 / 149卷 / 1-2期

关键词：

PERFORATED DOMAINS; JOHN DOMAINS; EQUATIONS; BOUNDARY; LIMIT;

D O I：

10.1007/s00229-015-0778-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the homogenization problem for the evolutionary Navier-Stokes system under the critical size of obstacles. Convergence towards the limit system of Brinkman's type is shown under very mild assumptions concerning the shape of the obstacles and their mutual distance.

引用

页码：251 / 274

页数：24

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