TY - JOUR
T1 - Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes
AU - Wang , Yuan-Yuan
AU - Yang , Yong-Fu
JO - Journal of Partial Differential Equations
VL - 3
SP - 284
EP - 296
PY - 2021
DA - 2021/07
SN - 34
DO - http://doi.org/10.4208/jpde.v34.n3.6
UR - https://global-sci.org/intro/article_detail/jpde/19325.html
KW - Homogenization, Navier-Stokes equations, perforated domain, cell problem.
AB - <p style="text-align: justify;">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.</p>