Regularity Criteria for the 3D Axisymmetric Non-Resistive MHD System in Lorentz Spaces

摘要

We establish regularity criteria of 3D axisymmetric non-resistive MHD system with non-zero swirl. It is shown 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 belongs to some Lorentz spaces. Our result does not need any additional assumption on the magnetic field. In particular, we also obtain regularity criteria for the 3D axisymmetric Navier-Stokes system.