Acta mathematica scientia, Series B >
GLOBAL REGULARITY TO THE 2D INCOMPRESSIBLE MHD WITH MIXED PARTIAL DISSIPATION AND MAGNETIC DIFFUSION IN A BOUNDED DOMAIN
Received date: 2015-07-07
Revised date: 2016-06-11
Online 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).
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 ▽×ux and ▽×by, respectively. Then, we establish the global estimates for ▽×u and ▽×b.
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 . DOI: 10.1016/S0252-9602(17)30010-3
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