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REGULARITY CRITERIA FOR A MAGNETOHYDRODYNAMIC-alpha MODEL
Journal article   Peer reviewed

REGULARITY CRITERIA FOR A MAGNETOHYDRODYNAMIC-alpha MODEL

Yong Zhou and Jishan Fan
Communications on pure and applied analysis, Vol.10(1), pp.309-326
01/01/2011
DOI: https://doi.org/10.3934/cpaa.2011.10.309

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the n-dimensional magnetohydrodynamic-alpha (MHD-alpha) model in the whole space. Various regularity criteria are established. When n = 4, uniqueness of weak solutions is also proved. As a corollary, the strong solution to this model exists globally, as n <= 4.

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