Well-posedness for heat conducting non-Newtonian micropolar fluid equations

被引：0

作者：

Wang, Changjia ^{[1
]}

Duan, Yuxi ^{[1
]}

机构：

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

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 02期

关键词：

non-Newtonian fluid; micropolar fluid; heat convection; strong solutions; existence and; uniqueness; WEAK SOLUTIONS; STEADY FLOW; REGULARITY; EXISTENCE; SYSTEM; CONVECTION; VISCOSITY; GROWTH; MOTION;

D O I：

10.3934/era.2024043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the first boundary value problem for a class of steady nonNewtonian micropolar fluid equations with heat convection in the three-dimensional smooth and bounded domain ohm. By using the fixed-point theorem and introducing a family of penalized problems, under the condition that the external force term and the vortex viscosity coefficient are appropriately small, the existence and uniqueness of strong solutions of the problem are obtained.

引用

页码：897 / 914

页数：18