On the well-posedness for the 2D micropolar Rayleigh-Benard convection problem

被引：10
|
作者：
Xu, Fuyi [1 ]
Qiao, Liening [1 ]
Zhang, Mingxue [1 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Local well-posedness; Micropolar Rayleigh-Benard convection problem; Blow-up criterion; Smooth solution; Global regularity;
D O I：
10.1007/s00033-020-01454-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article is devoted to the study of Cauchy problem to the Rayleigh-Benard convection model for the micropolar fluid in two dimensions. We first prove the unique local solvability of smooth solution to the system when the system has only velocity dissipation, and then establish a criterion for the breakdown of smooth solutions imposed only the maximum norm of the gradient of scalar temperature field. Finally, we show the global regularity of the system with zero angular viscosity.
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页数：13
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