Remarks on global smooth solutions to a 1D self-gravitating viscous radiative and reactive 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 the results by Umehara and Tani [M. Umehara, A. Tani, Global solutions to one-dimensional equations for a self-gravitating viscous radiative and reactive gas, J. Differential Equations 234 (2007) 439–463; M. Umehara, A. Tani, Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas, Proc. Japan Acad. A 84 (2008) 123–128].