Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas

In this paper we consider a system of equations describing a motion of a self-gravitating one-dimensional gaseous medium in the presence of radiation and reacting process. By introducing Lagrangian mass coordinate, this free-boundary problem is reduced to the problem in a fixed domain with an explicit gravitational term. Based on the fundamental local existence result and a priori estimates, we can construct a classical unique global solution. (c) 2006 Elsevier Inc. All rights reserved.