GLOBAL REGULARITY TO THE 2D INCOMPRESSIBLE MHD WITH MIXED PARTIAL DISSIPATION AND MAGNETIC DIFFUSION IN A BOUNDED DOMAIN

This article considers the global regularity to the initial-boundary value problem for the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion. To overcome the difficulty caused by the vanishing viscosities, we first establish the elliptic system for ux and by, which are esti...

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Bibliographic Details
Published in:Acta mathematica scientia 2017-03, Vol.37 (2), p.395-404
Main Author: 于海波
Format: Article
Language:English
Subjects:
76D03
76W05
Global classical solution
incompressible MHD
initial-boundary value problem
MHD
partial dissipation
不可压缩
二维
扩散
有界区域
正则性
混合
耗散
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Summary:This article considers the global regularity to the initial-boundary value problem for the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion. To overcome the difficulty caused by the vanishing viscosities, we first establish the elliptic system for ux and by, which are estimated by 7 × us and × by, respectively. Then, we establish the global estimates for × u and ×b.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30010-3