The existence of weak solutions for steady flows of electrorheological fluids with nonhomogeneous Dirichlet boundary condition

被引：9
|
作者：
Sin, Cholmin [1 ]
机构：
[1] Acad Sci, Inst Math, Pyongyang, North Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 163卷
关键词：
Nonhomogeneous Dirichlet boundary condition; Electrorheological fluid; Existence; Weak solution; Non-Newtonian fluid; Variable exponent; LIPSCHITZ TRUNCATION; REGULARITY;
D O I：
10.1016/j.na.2017.06.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show the existence of weak solutions for steady flows of electrorheological fluids with nonhomogeneous Dirichlet boundary condition under the condition p(x) > 2n/n+ 2, n = 2, 3. In particular, we improve a priori estimate for weak solutions to the problem with min p(x) < 2, which is an improvement even for constant p. (C) 2017 Published by Elsevier Ltd.
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页码：146 / 162
页数：17
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