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

Abstract

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

CLC Number:

O175.29

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

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