Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion

被引：320
|
作者：
Cao, Chongsheng [2 ]
Wu, Jiahong [1 ]
机构：
[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
[2] Florida Int Univ, Dept Math, Miami, FL 33199 USA
来源：
ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 02期
基金：
美国国家科学基金会;
关键词：
Classical solutions; Global regularity; MHD equations; Partial dissipation and magnetic diffusion; HYDRODYNAMICS;
D O I：
10.1016/j.aim.2010.08.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Whether or not classical solutions of the 2D incompressible MHD equations without full dissipation and magnetic diffusion can develop finite-time singularities is a difficult issue. A major result of this paper establishes the global regularity of classical solutions for the MHD equations with mixed partial dissipation and magnetic diffusion. In addition, the global existence, conditional regularity and uniqueness of a weak solution is obtained for the 2D MHD equations with only magnetic diffusion. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：1803 / 1822
页数：20
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