Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids

被引：10

作者：

Shi, Weiwei ^{[1
]}

Wang, Changjia ^{[1
]}

机构：

[1] Changchun Univ Sci & Technol, Sch Sci, Changchun 130022, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 23期

关键词：

strong solutions; existence and uniqueness; incompressible magnetohydrodynamics; non-Newtonian fluids; GLOBAL SMALL SOLUTIONS; WEAK SOLUTIONS; REGULARITY; FLOW; CRITERION; SYSTEM;

D O I：

10.14232/ejqtde.2020.1.23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with a system of partial differential equations describing a steady motion of an incompressible magnetohydrodynamic fluid, where the extra stress tensor is induced by a potential with p-structure (p = 2 corresponds to the Newtonian case). By using a fixed point argument in an appropriate functional setting, we proved the existence and uniqueness of strong solutions for the problem in a smooth domain Omega C R-n (n = 2,3) under the conditions that the external force is small in a suitable norm.

引用

页码：1 / 11

页数：11

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