速度零耗散且温度分数阶扩散的二维微极Rayleigh-Bénard对流系统的全局正则性

数学物理学报 ›› 2024, Vol. 44 ›› Issue (4): 914-924.

速度零耗散且温度分数阶扩散的二维微极Rayleigh-Bénard对流系统的全局正则性

李昌昊(),原保全^*()

河南理工大学数学与信息科学学院河南焦作 454000

收稿日期:2023-05-12 修回日期:2024-01-25 出版日期:2024-08-26 发布日期:2024-07-26
通讯作者: *原保全, E-mail:bqyuan@hpu.edu.cn
作者简介:李昌昊, E-mail:lch1162528727@163.com

Global Regularity for the 2D Micropolar Rayleigh-Bénard Convection System with Velocity Zero Dissipation and Temperature Fractional Diffusion

Li Changhao(),Yuan Baoquan^*()

School of Mathematics and Information Science, Henan Polytechnic University, Henan Jiaozuo 454000

Received:2023-05-12 Revised:2024-01-25 Online:2024-08-26 Published:2024-07-26

摘要/Abstract

摘要：

该文研究速度零耗散, 微旋转速度拉普拉斯耗散且温度分数阶扩散的二维微极 Rayleigh-Bénard对流系统的全局正则性问题. 通过构建两个组合量和使用 Littlewood-Paley 分解技术, 该文建立了该系统解的全局正则性结果.

关键词: 微极 Rayleigh-Bénard 方程, 全局正则性, Besov 空间, Sobolev 空间

Abstract:

This paper studies the global regularity problem for the 2D micropolar Rayleigh-Bénard convection system with velocity zero dissipation, micro-rotation velocity Laplace dissipation and temperature fractional dissipation. By introducing two combined quantities and using the technique of Littlewood-Paley decomposition, this paper establishes the global regularity result of solutions to this system.

Key words: Micropolar Rayleigh-Bénard, Global regularity, Besov space, Sobolev space

中图分类号:

O175.29

李昌昊, 原保全. 速度零耗散且温度分数阶扩散的二维微极Rayleigh-Bénard对流系统的全局正则性[J]. 数学物理学报, 2024, 44(4): 914-924.

Li Changhao, Yuan Baoquan. Global Regularity for the 2D Micropolar Rayleigh-Bénard Convection System with Velocity Zero Dissipation and Temperature Fractional Diffusion[J]. Acta mathematica scientia,Series A, 2024, 44(4): 914-924.

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