Regularity criteria for the 3D axisymmetric non-resistive MHD system

Abstract

The main purpose of this paper is to study regularity criteria for a class of axisymmetric solutions to 3D incompressible non-resistive MHD system. We establish that strong solutions of this system can be smoothly extended beyond the possible blow-up time T if the horizontal angular component of the velocity in some mixed Lorentz spaces. Our result extends and generalizes the corresponding result of Wang and Guo.