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

Abstract

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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>"