On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models

TL;DR

This paper investigates the stability of expanding configurations in radiation gaseous stars, analyzing the effects of viscosity and different models, and extends previous findings by providing a comprehensive stability analysis.

Contribution

It provides a detailed stability analysis of expanding gaseous star configurations under isentropic and thermodynamic models, considering viscosity effects and extending prior work.

Findings

Self-similarly expanding solutions are unstable under small perturbations.

Linearly expanding solutions are stable in both models.

Viscosity influences the stability characteristics of the configurations.

Abstract

In this work, we study the stability of the expanding configurations for radiation gaseous stars. Such expanding configurations exist for the isentropic model and the thermodynamic model. In particular, we focus on the effect of the monatomic gas viscosity tensor on the expanding configurations. With respect to small perturbation, it is shown the self-similarly expanding homogeneous solutions of the isentropic model is unstable, while the linearly expanding homogeneous solutions of the isentropic model and the thermodynamic model are stable. This is an extensive study of the result in arXiv:1605.08083 by Hadzic and Jang.