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

• 作者: WANG Yuanyuan YANG Yongfu
• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 年，卷（期）: 2021,（3）
• 页码范围: 284-296
• 页数: 13页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v34.n3.6

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 typ-ical 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 equation-s.The unified approach due to Lu[1]is mainly based on the uniform estimates with respect to ε for the generalized cell problem inspired by Tartar.