Global smooth solutions for the compressible viscous and heat-conductive gas

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