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.

引用

页数：25

共 50 条

[1] Global well-posedness and large time behavior for the 3D anisotropic micropolar equations
Shang, Haifeng
Liu, Chao
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 421 : 531 - 557
[2] Global well-posedness and large time behavior for the 3D magneto-micropolar equations
Shang, Haifeng
Liu, Chao
APPLICABLE ANALYSIS, 2025, 104 (02) : 277 - 292
[3] Global well-posedness and large-time decay for the 2D micropolar equations
Dong, Bo-Qing
Li, Jingna
Wu, Jiahong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (06) : 3488 - 3523
[4] Global well-posedness and long time decay of the 3D Boussinesq equations
Liu, Hui
Gao, Hongjun
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (12) : 8649 - 8665
[5] Global well-posedness of the 3D magneto-micropolar equations with damping
Liu, Hui
Sun, Chengfeng
Meng, Fanwei
APPLIED MATHEMATICS LETTERS, 2019, 94 (38-43) : 38 - 43
[6] Global well-posedness of the 3D damped micropolar Benard system with horizontal dissipation
Liu, Hui
Lin, Lin
Su, Dong
Zhang, Qiangheng
APPLIED MATHEMATICS LETTERS, 2024, 157
[7] Global well-posedness of the 3D micropolar equations with partial viscosity and damping
Liu, Shengquan
Si, Zhenjie
APPLIED MATHEMATICS LETTERS, 2020, 109
[8] The Global Well-Posedness and Decay Estimates for the 3D Incompressible MHD Equations With Vertical Dissipation in a Strip
Lin, Hongxia
Suo, Xiaoxiao
Wu, Jiahong
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (22) : 19115 - 19155
[9] GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY FOR 3D NONHOMOGENEOUS MAGNETO-MICROPOLAR FLUID EQUATIONS WITH VACUUM
Zhong, Xin
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (02) : 493 - 515
[10] Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping
Li, Xinliang
Ding, Dandan
APPLICABLE ANALYSIS, 2024, 103 (11) : 1963 - 1989

← 1 2 3 4 5 →