Global solution to the one-dimensional equations for a self-gravitating thermal radiative magnetohydrodynamics

In this paper, we consider a system of equations describing a motion of a self-gravitating one-dimensional gaseous medium coupled to magnetic fields in the presence of radiation effects. We have proved that for any large initial data, the problem under consideration admits a unique global solution when the temperature growth index satisfies q > 7 / 4 . The results have enlarge the scope of the index of heat conductivity for previous results q > 2 + 211 9 ≈ 1.83 .