Global regularity for the 2D micropolar Rayleigh-Bénard convection system with velocity zero dissipation and temperature critical diffusion

被引：0

作者：

Yuan, Baoquan ^{[1
,2
]}

Li, Changhao ^{[1
]}

机构：

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

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 09期

关键词：

global regularity; micropolar Rayleigh-Benard convection system; Sobolev space; EULER-BOUSSINESQ SYSTEM; WELL-POSEDNESS; EQUATIONS; ATTRACTOR;

D O I：

10.1002/mma.9985

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the global regularity problem for the 2D micropolar Rayleigh-Benard convection system with velocity zero dissipation, micro-rotation velocity Laplace dissipation, and temperature critical diffusion. By introducing a combined quantity and using the technique of Littlewood-Paley decomposition, we establish the global regularity result of solutions to this system.

引用

页码：7502 / 7517

页数：16

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