Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems
arXiv:1306.2758 · doi:10.1063/1.4773833
Abstract
We study the regularity criteria of the three dimensional generalized 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.
This is the author's accepted manuscript version of what was already published in January 2013 by Journal of Mathematical Physics