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Abstract. This paper is concerned with the global existence of smooth solutions to a system of equations describing one-dimensional motion of a self-gravitating, radiative and chemically reactive gas. We have proved that for any arbitrary large smooth initial data, the problem under consideration admits a unique globally smooth (classical) solution. Our results have improved those results by Umehara and Tani ([J. Differential Equations,

This paper is concerned with the global existence of smooth solutions to equations describing one-dimensional motion of a self-gravitating, radiative of magnetohydrodynamics gas. We have proved that for any arbitrary large smooth initial data, the problem under consideration admits a unique globally smooth (classical) solution. Our results have improved the results given by Zhang and Xie [J. Differ. Equations 52, 1853–1882 (2008)].