Global well-posedness to the one-dimensional model for planar non-resistive magnetohydrodynamics with large data and vacuum

We study an initial-boundary value problem to the one-dimensional model for planar non-resistive magnetohydrodynamics. By virtue of the effective viscous flux and an analogue, the material derivative and the structure of the equations, global well-posedness of strong solutions is obtained provided that the initial density is bounded below away from vacuum. Based on this, global solvability of strong solutions is shown with allowance of initial vacuum, where natural compatibility conditions for the initial data are required. The results are obtained without any restriction to the size of the initial data.