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

被引：2
|
作者：
Huimin Liu
Dongfen Bian
Xueke Pu
机构：
[1] Chongqing University,College of Mathematics and Statistics
[2] Beijing Institute of Technology,School of Mathematics and Statistics
[3] Brown University,Division of Applied Mathematics
[4] Chongqing University,Department of Mathematics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2019年 / 70卷
关键词：
Global well-posedness; 3D Boussinesq-MHD system; Strong and smooth solution; 35Q35; 76D03;
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学科分类号：
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.
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