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

被引：29

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.

引用

页码：1591 / 1611

页数：21

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