Homogenization of incompressible generalized Stokes flows through a porous medium

被引：5

作者：

Kalousek, Martin ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 6, Karlin, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 136卷

关键词：

Porous media flow; Non-Newtonian fluid; Shear-dependent viscosity; Orlicz space; Periodic homogenization; Two-scale convergence method; LIPSCHITZ TRUNCATION; CONVERGENCE; FUNCTIONALS; CONVEX;

D O I：

10.1016/j.na.2016.01.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the homogenization for families of steady and also unsteady incompressible generalized Stokes systems in a periodic porous medium. We assume that the stress tensor possesses an Orlicz growth and the size of solid parts of the porous medium is comparable to the size of the period. Homogenized systems are established using the two-scale convergence method adopted to Orlicz space setting. We prove the existence and uniqueness of weak solutions of the homogenized systems. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1 / 39

页数：39

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