完美传导边界条件不可压磁流体系统及解的注记
Remark of Solution and the Incompressible Magnetohydrodynamic System with Perfectly Conducting Wall
摘要
首先给出三种不可压磁流体方程组及其相互关系,其次给出这三种模型解的已有结果,最后指出由该模型衍生的相关公开问题.
In this paper,we gave three models of magnetohydrodynamic(MHD)system and some results on them. At last,we illustrate the development of other researchers and give open problem.
出处
《河南科学》
2014年第8期1395-1398,共4页
Henan Science
基金
河南省自然科学基础研究计划项目(112300410251)
河南省教育厅青年骨干教师资助项目(2011GGJS-210)
参考文献9
-
1Duvant G, Lions J L. Inequation en themoelasticite et magnetohydrodynamique[J]. Arch Ration Mech Anal, 1972,46(2) : 241-279.
-
2Sermange M, Temam R. Some mathematical questions related to the MHD equations [J]. Comm Pure Appl Math, 1983,36( 185): 635-664.
-
3Biskamp D. Nonlinear Magnetohydrodynamics[M]. Cambridge, UK: Cambridge University Press, 1993.
-
4Cao C S, Wu J H. Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion[J]. Advances in Math, 2011,226 (2) : 1803-1822.
-
5Chen Q L, Miao C X, Zhang Z F. The Beale-Kato-Majda criterion for the 3D magnetohydrodynamics equations[J]. Comm Math Phys, 2007,275 (3) : 861-872.
-
6He C, Xin Z P. Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations [J]. J Funct Anal, 2005,227 ( 1 ) : 113-152.
-
7Wu J H. Viscous and inviscid magneto-hydrodynamics equations [J]. Journal D'Analyse Mathematique, 1997,73 (1):251-265.
-
8Wu J H. Regularity criteria for the generalized MHD equations [J]. Comm Partial Diff Eqns, 2008, 33 (3) : 285-306, 23.
-
9Xiao Y L, Xin Z P, Wu J H. Vanishing viscosity limit for the 3D magneto-hydrodynamic system with a slip boundary condition[J]. J Funct Anal, 2009, 257( 11 ): 3375-3394.