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On the Cauchy problem for a Leray-alpha-MHD model
Journal article   Peer reviewed

On the Cauchy problem for a Leray-alpha-MHD model

Yong Zhou and Jishan Fan
Nonlinear analysis: real world applications, Vol.12(1), pp.648-657
01/02/2011
DOI: https://doi.org/10.1016/j.nonrwa.2010.07.007

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, the Cauchy problem for a Leray-alpha-MHD model is considered for n = 2, 3. When n = 2, global existence for the strong solution is proved even for the cases with a partial viscous term. For the three-dimensional case, various regularity criteria are established. (c) 2010 Elsevier Ltd. All rights reserved.

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