Global regularity for 3D magneto-hydrodynamics equations with only horizontal dissipation

被引：0
|
作者：
Wang, Yutong [1 ]
Wang, Weike [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 220104, Peoples R China
[2] Shanghai Jiao Tong Univ, Inst Nat Sci, Shanghai 220104, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2019年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Magneto-hydrodynamics (MHD) equations; degenerate dissipation; global solution; Green's function method; frequency decomposition method; AXIALLY-SYMMETRIC FLOWS; 2D MHD EQUATIONS; BOUSSINESQ SYSTEM; WELL-POSEDNESS; MAGNETOHYDRODYNAMICS;
D O I：
10.1007/s11464-019-0746-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the Cauchy problem for the 3D magneto-hydrodynamics equations with only horizontal dissipation for the small initial data. With the help of the dissipation in the horizontal direction and the structure of the system, we analyze the properties of the decay of the solution and apply these decay properties to get the global regularity of the solution. In the process, we mainly use the frequency decomposition in Green's function method and energy method.
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页码：149 / 175
页数：27
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