@Article{JPDE-34-284, author = {Wang , Yuan-Yuan and Yang , Yong-Fu}, title = {Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {3}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n3.6}, url = {http://global-sci.org/intro/article_detail/jpde/19325.html} }