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

Kefeng Liu

Analysis of PDEs mathscidoc:1912.43116

arXiv preprint arXiv:1710.06527, 2017.10
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.
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@inproceedings{kefeng2017on,
  title={On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models},
  author={Kefeng Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111633817216676},
  booktitle={arXiv preprint arXiv:1710.06527},
  year={2017},
}
Kefeng Liu. On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models. 2017. In arXiv preprint arXiv:1710.06527. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111633817216676.
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