Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes

被引：0

作者：

Wang Yuanyuan ^{[1
]}

Yang Yongfu ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 211100, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 03期

关键词：

Homogenization; Navier-Stokes equations; perforated domain; cell problem; VOLUME DISTRIBUTION; TINY HOLES;

D O I：

10.4208/jpde.v34.n3.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to investigate homogenization of stationary Navier-Stokes equations with a Dirichlet boundary condition in domains with 3 kinds of typical holes. For space dimension N =2 and 3, we utilize a unified approach for 3 kinds of tiny holes to accomplish the homogenization of stationary Navier-Stokes equations. The unified approach due to Lu [1] is mainly based on the uniform estimates with respect to epsilon for the generalized cell problem inspired by Tartar.

引用

页码：284 / 296

页数：13

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