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

被引：0
|
作者：
Yu, Haibo [1 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Global classical solution; incompressible MHD; initial-boundary value problem; partial dissipation; MAGNETOHYDRODYNAMIC SYSTEM; EQUATIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 u(x) and b(y), which are estimated by del x u(x) and del x b(y), respectively. Then, we establish the global estimates for del x u and del x b.
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页码：395 / 404
页数：10
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