On the expanding configurations of viscous radiation gaseous stars: Thermodynamic model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Liu, Xin^1,2 

[1] Texas A&M, Dept Math, College Stn, TX 77843 USA

[2] Free Univ Berlin, Inst Math, Berlin, Germany

关键词: Asymptote;    Homogeneous solutions;    Stability;    Radiation gaseous stars;   

DOI  :  10.1016/j.jde.2019.09.043

来源: Elsevier

【 摘 要 】

In this work, we study the stability of the expanding configurations of radiation gaseous stars. Such expanding configurations exist for a thermodynamic model, given as a class of self-similar solutions to the associated dynamic system with viscosity coefficients satisfying 2 mu + 3 lambda = 0 for the monatomic gas; that is, the bulk viscosity is vanishing. With respect to small perturbations, this work shows that the linearly expanding homogeneous solutions are stable for a large expanding rate. This is an extensive study of the result in [14] by Hadzic and Jang. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free