Large global well-posedness of the three-dimensional magneto-hydrodynamic equations with the initial data of the type 'v+w'

被引：0
|
作者：
Han, Jinsheng [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 17期
基金：
美国国家科学基金会;
关键词：
3D incompressible magneto-hydrodynamic equations; global well-posedness; NAVIER-STOKES EQUATIONS; REGULARITY; WELLPOSEDNESS;
D O I：
10.1002/mma.2634
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Cauchy problem of the three-dimensional, incompressible magneto-hydrodynamic equations with full velocity dissipation and magnetic diffusion. We prove the global well-posedness of the magneto-hydrodynamic equations due to some particular initial data of the type v?+?w, which may be large in the corresponding critical space. We provide two kinds of results, and they do not contain each other. Copyright (c) 2012 John Wiley & Sons, Ltd.
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页码：2036 / 2056
页数：21
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