Global regularity for the 2D micropolar Rayleigh-Benard problem with partial dissipation

被引：4

作者：

Shang, Haifeng ^{[1
]}

Guo, Mengyu ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 128卷

关键词：

2D micropolar Rayleigh-Benard problem; Partial dissipation; Global regularity; BOUSSINESQ EQUATIONS; WELL-POSEDNESS; ATTRACTOR;

D O I：

10.1016/j.aml.2021.107899

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of the global regularity problem to the 2D micropolar Rayleigh-Benard problem with only partial velocity dissipation and micro-rotational dissipation in R-2. By fully exploiting the special structure of the system and using the delicate energy methods, we establish the global well-posedness of classical solutions for this system. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

共 50 条

[1] Global regularity for the micropolar Rayleigh-Benard problem with only velocity dissipation
Deng, Lihua
Shang, Haifeng
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (05) : 1109 - 1138
[2] Global regularity for the 2D micropolar Rayleigh-Benard convection system with velocity critical dissipation and temperature zero dissipation
Yuan, Baoquan
Li, Changhao
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2025, 22 (01) : 29 - 47
[3] Global regularity for the 2D micropolar Rayleigh-Benard convection system with the zero diffusivity
Xu, Fuyi
Chi, Meiling
APPLIED MATHEMATICS LETTERS, 2020, 108
[4] Stability of the 2D anisotropic micropolar Rayleigh-Benard problem with one direction dissipation
Wang, Yuzhu
Luo, Zehua
Li, Dan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 18203 - 18216
[5] Global Well-posedness for the 2D Micropolar Rayleigh-Benard Convection Problem without Velocity Dissipation
Wang, Sheng
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (07) : 1053 - 1065
[6] On the well-posedness for the 2D micropolar Rayleigh-Benard convection problem
Xu, Fuyi
Qiao, Liening
Zhang, Mingxue
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (01):
[7] GLOBAL REGULARITY OF THE 2D MAGNETIC BENARD SYSTEM WITH PARTIAL DISSIPATION
Ye, Zhuan
ADVANCES IN DIFFERENTIAL EQUATIONS, 2018, 23 (3-4) : 193 - 238
[8] Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation
Regmi, Dipendra
Wu, Jiahong
JOURNAL OF MATHEMATICAL STUDY, 2016, 49 (02): : 169 - 194
[9] Global Regularity Results for the 2D Magnetic Benard Problem with Fractional Dissipation
Shang, Haifeng
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2019, 21 (03)
[10] Global regularity for the 2D magneto-micropolar equations with partial and fractional dissipation
Yuan, Baoquan
Qiao, Yuanyuan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (10) : 2345 - 2359

← 1 2 3 4 5 →