EXISTENCE OF STEADY SOLUTIONS FOR A GENERAL MODEL FOR MICROPOLAR ELECTRORHEOLOGICAL FLUID FLOWS

被引：0
|
作者：
Kaltenbach, Alex [1 ]
Ruzicka, Michael [1 ]
机构：
[1] Albert Ludwigs Univ Freiburg, Inst Appl Math, Ernst Zermelo Str 1, D-79104 Freiburg, Germany
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2023年 / 55卷 / 03期
关键词：
existence of solutions; Lipschitz truncation; weighted function spaces; variable exponent spaces; micropolar electrorheological fluids; SHEAR-DEPENDENT VISCOSITY; LIPSCHITZ TRUNCATION; SPACES;
D O I：
10.1137/22M1500599
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids. The analysis of this particular problem leads naturally to weighted Sobolev spaces. By deploying the Lipschitz truncation technique, we establish the existence of solutions without additional assumptions on the electric field.
引用
收藏
页码：2238 / 2260
页数：23
相关论文
共 50 条
12345