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

doi:10.1016/S0252-9602(17)30010-3

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (2): 395-404.doi: 10.1016/S0252-9602(17)30010-3

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

于海波

School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

收稿日期:2015-07-07 修回日期:2016-06-11 出版日期:2017-04-25 发布日期:2017-04-25
作者简介:Haibo YU,E-mail:yuhaibo2049@tom.com
基金资助:
The author was supported by the Scientific Research Funds of Huaqiao University (14BS309) and the National Natural Science Foundation of China (11526091).

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

Haibo YU

School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

Received:2015-07-07 Revised:2016-06-11 Online:2017-04-25 Published:2017-04-25
Supported by:
The author was supported by the Scientific Research Funds of Huaqiao University (14BS309) and the National Natural Science Foundation of China (11526091).

摘要/Abstract

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 ▽×u_x and ▽×b_y, respectively. Then, we establish the global estimates for ▽×u and ▽×b.

关键词: Global classical solution, incompressible MHD, initial--boundary value problem, partial dissipation

Abstract:

Key words: Global classical solution, incompressible MHD, initial--boundary value problem, partial dissipation

于海波. GLOBAL REGULARITY TO THE 2D INCOMPRESSIBLE MHD WITH MIXED PARTIAL DISSIPATION AND MAGNETIC DIFFUSION IN A BOUNDED DOMAIN[J]. 数学物理学报(英文版), 2017, 37(2): 395-404.

Haibo YU. GLOBAL REGULARITY TO THE 2D INCOMPRESSIBLE MHD WITH MIXED PARTIAL DISSIPATION AND MAGNETIC DIFFUSION IN A BOUNDED DOMAIN[J]. Acta mathematica scientia,Series B, 2017, 37(2): 395-404.

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

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

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