Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion

被引：33

作者：

Liu, Huimin ^{[1
]}

Bian, Dongfen ^{[2
,3
]}

Pu, Xueke ^{[4
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[3] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[4] Chongqing Univ, Dept Math, Chongqing 401331, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 03期

关键词：

Global well-posedness; 3D Boussinesq-MHD system; Strong and smooth solution; BOUNDARY VALUE-PROBLEM; PARTIAL REGULARITY; WEAK SOLUTIONS; EQUATIONS; VISCOSITY; EXISTENCE;

D O I：

10.1007/s00033-019-1126-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show the global existence and uniqueness of strong and smooth large solutions to the 3D Boussinesq-MHD system without heat diffusion. Since the temperature satisfies a transport equation, in order to get high regularity of temperature, we need to use the combination of estimates about velocity and magnetic field. Moreover, our system involves a nonlinear damping term in the momentum equations due to the Brinkman-Forchheimer-extended-Darcy law of flow in porous media.

引用

页数：19

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