Global solution to the n-dimensional non-resistive MHD system with damping in magnetic field

The global existence is obtained for the solution to the viscous non-resistive MHD system with magnetic damping in Rn(n≥2). This study is inspired by the recent examinations obtained by Fefferman et al. (2014) and Chemin et al. (2016) on the local well-posedness of the viscous non-resistive MHD system.