Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 10, Issue 1, Pages 309-326Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/cpaa.2011.10.309
Keywords
Magnetohydrodynamic-alpha model; regularity criterion; uniqueness
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Funding
- Zhejiang Innovation Project [T200905]
- ZJNSF [R6090109]
- NSFC [10971197]
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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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