In this chapter, we establish the global existence and exponential stability of solutions in
= 1,2,4) for a Stefan-Boltzmann model of a viscous, reactive and radiative gas with first-order Arrhenius kinetics in a bounded interval. In so doing we describe the classical stellar evolution  of a finite mass of a heat-conducting viscous reactive fluid in local equilibrium with thermal radiation: pressure, internal energy and thermal conductivity have Stefan-Boltzmann radiative contributions. In order to mimic chemical exchanges inside the fluid, we may consider a simple reacting process with a first-order kinetics, commonly used in combustion theory . The results of this chapter are chosen from .