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

TL;DR

This paper proves the existence of global solutions for a compressible Navier-Stokes model incorporating radiative and reactive effects with variable heat conductivity, extending previous results to a broader range of heat conduction behaviors.

Contribution

It establishes global solution existence for a more general class of heat conductivity functions in radiative reactive gas models, including constant conductivity.

Findings

Global solutions exist under broader heat conductivity conditions.

The results include the case of constant heat conductivity.

Improves previous theoretical results on radiative reactive gases.

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.