Well-posedness and large time decay for the 3D micropolar equations with only velocity dissipation

被引：6
|
作者：
Ye, Hailong [1 ]
Wang, Qingqing [1 ]
Jia, Yan [1 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 219卷
关键词：
Micropolar fluid; Well-posedness; Large time decay; GLOBAL REGULARITY; EXISTENCE;
D O I：
10.1016/j.na.2022.112796
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the well-posedness and large time behavior of solutions to the 3D micropolar equations with only velocity dissipation. The global weak solutions and regular small solution are examined by exploring the higher order regularity properties of two related linearized problems. Due to some new observation on the special structure of equations in an ingenious way, we introduce an alternative analysis argument and give a detailed description on the large time decay rates for the weak and regular small solutions. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：25
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