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arXiv:1507.05885 [math.AP]AbstractReferencesReviewsResources

Regularity criterion for the 3D Hall-magneto-hydrodynamics

Mimi Dai

Published 2015-07-21Version 1

This paper studies the regularity problem of the 3D incompressible resistive viscous Hall-magneto-hydrodynamic (Hall-MHD) system. We apply an approach of splitting the dissipation wavenumber combined with an estimate of the energy flux to obtain a new regularity criterion. The regularity condition presented here is weaker than conditions in the existing criteria (Prodi-Serrin type criteria) for the 3D Hall-MHD system.

Comments: 19 pages
Categories: math.AP
Subjects: 76D03, 35Q35
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