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, 234(2007), 439-463; Proc. Japan Acad., 84, Ser. A(2008), 123-128]) and also by Qin, Hu, Huang, and Ma.
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