Refined Regularity Criteria for the 3D MHD System via Partial Components in Lorentz Space

Abstract

In this paper, we find new regularity criteria on the magnetohydrodynamic (MHD) system in terms of partial components of the velocity field and the magnetic field in Lorentz space. Our aim is to refine and extend the criteria of the Lebesgue space in previous results to those of a larger Lorentz space.