INITIAL BOUNDARY VALUE PROBLEM FOR TWO-DIMENSIONAL VISCOUS BOUSSINESQ EQUATIONS FOR MHD CONVECTION

被引：28
|
作者：
Bian, Dongfen [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 06期
基金：
中国国家自然科学基金;
关键词：
MHD Boussinesq system; weak solution; global regularity; uniqueness; GLOBAL WELL-POSEDNESS; MAGNETOHYDRODYNAMIC EQUATIONS; THERMAL-DIFFUSIVITY; MAGNETIC DIFFUSION; PARTIAL VISCOSITY; SYSTEM; REGULARITY; EXISTENCE;
D O I：
10.3934/dcdss.2016065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1591 / 1611
页数：21
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