Regularity criteria for the 3D MHD equations in term of velocity

Qunyi Bie, Qiru Wang, Zhengan Yao

Published 2013-12-04Version 1

In this paper we consider three-dimensional incompressible magnetohydrodynamics equations. By using interpolation inequalities in anisotropic Lebesgue space, we provide regularity criteria involving the velocity or alternatively involving the fractional derivative of velocity in one direction, which generalize some known results.