Year: 2021
Author: Yuan-Yuan Wang, Yong-Fu Yang
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 284–296
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 ε for the generalized cell problem inspired by Tartar.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n3.6
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 284–296
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Homogenization Navier-Stokes equations perforated domain cell problem.