Initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection
Initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection
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DOI：
10.3934/dcdss.2016065
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发表时间：
2016-11
期刊：
影响因子：
--
通讯作者：
Dongfen Bian
中科院分区：
文献类型：
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作者：
Dongfen Bian
本文研究二维粘性Boussinesq方程的初边值问题。我们证明了该系统对于H^3 $初始数据有唯一的经典解，对于速度场有无滑移边界条件，对于磁场有理想导电壁条件。此外，我们证明了动能在时间上是一致有界的。
This paper is concerned with the initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection. We show that the system has a unique classical solution for $H^3$ initial data, and the non-slip boundary condition for velocity field and the perfectly conducting wall condition for magnetic field. In addition, we show that the kinetic energy is uniformly bounded in time.