Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems

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Abstract

We study the regularity criteria of the three dimensional generalized magnetohydrodynamics (MHD) and Navier-Stokes systems. In particular, we show that the regularity criteria of the generalized MHD system may be reduced to depend only on two diagonal entries of the Jacobian matrix of the velocity vector field or one vorticity component and one entry of the Jacobian matrix of the velocity vector field.

Original languageEnglish
Article number011502
JournalJournal of Mathematical Physics
Volume54
Issue number1
DOIs
StatePublished - Jan 22 2013

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