Global solutions of a radiative and reactive gas with self-gravitation for higher-order kinetics

Abstract

The existence of global solutions is established for compressible Navier-Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity $\kappa$ ($\kappa_1(1+\theta^q)\leq\kappa\leq \kappa_2(1+\theta^q),q\geq 0$), where $\theta$ is temperature. This improves the previous results by enlarging the scope of $q$ including the constant heat conductivity.