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  

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

作　　者：李昌昊 原保全[1] Li Changhao;Yuan Baoquan(School of Mathematics and Information Science,Henan Polytechnic University,Henan Jiaozuo 454000)

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《数学物理学报（A辑）》2024年第4期914-924,共11页Acta Mathematica Scientia

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.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.

关 键 词：微极Rayleigh-Bénard方程 全局正则性 BESOV空间 SOBOLEV空间 

分 类 号：O175.29[理学—数学]