Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain

被引：44
|
作者：
Zhou, Yi [1 ]
Zhu, Yi [2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 08期
基金：
中国博士后科学基金;
关键词：
INCOMPRESSIBLE MAGNETOHYDRODYNAMICS; EQUATIONS; DISSIPATION; EXISTENCE;
D O I：
10.1063/1.5018641
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper studies the global existence of classical solutions to the two-dimensional incompressible magneto-hydrodynamical system with only magnetic diffusion on the periodic domain. The approach is based on a time-weighted energy estimate, under the assumptions that the initial magnetic field is close enough to an equilibrium state and the initial data have reflection symmetry. Published by AIP Publishing.
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页数：12
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