MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETOHYDRODYNAMIC EQUATIONS

被引：0
|
作者：
酒全森
牛冬娟
机构：
[1] School of Mathematical Sciences Capital Normal University Beijing 100037
[2] China
[3] Institute of Mathematics AMSS
[4] Chinese Academy of Sciences
[5] Beijing 100080
来源：
Acta Mathematica Scientia | 2006年 / 04期
关键词：
MHD equations; classical solution; convergence rate; blow-up criterion;
D O I：
暂无
中图分类号：
O175.24 [数理方程];
学科分类号：
070104 ;
摘要：
The two-dimensional magneto-hydrodynamic (MHD) equations are considered in this article. Viscous approximations are used to obtain the local existence and uniqueness of the classical solution. When the viscous term vanishes, the convergence rates, a main problem in turbulence,are also discussed. Moreover, a blow-up criterion for our classical solution is established in terms of the magnetic fields.
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页码：744 / 756
页数：13
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