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 $\kappa$ (${\kappa }_1(1+{\theta }^q)\le \kappa \le {\kappa }_2(1+{\theta }^q),q\ge 0$), where $\theta$ is temperature. This improves the previous results by enlarging the scope of $q$ including the constant heat conductivity.