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

Authors

  • Yuan-Yuan Wang College of Science, Hohai University, Nanjing 211100, China
  • Yong-Fu Yang College of Science, Hohai University, Nanjing 211100, China

DOI:

https://doi.org/10.4208/jpde.v34.n3.6

Keywords:

Homogenization, Navier-Stokes equations, perforated domain, cell problem.

Abstract

"

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 \u03b5 for the generalized cell problem inspired by Tartar.<\/p>"

Downloads

Published

2021-07-02

Issue

Vol. 34 No. 3 (2021)

Section

Articles