2017/10/17 by Xin Liu, Liu, Xin
Mathematics · Physics and Astronomy · #35A01 #35Q30 #35Q35 #35Q85 #76E20 #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP #msc:35A01 #msc:35Q30 #msc:35Q35 #msc:35Q85 #msc:76E20
paper · pdf · doi:10.48550/arxiv.1710.06527
openalex publication_date 2017/10/17 · arxiv created 2017/10/19 · arxiv updated 2017/10/20 · openalex created_date 2017/11/10 · openalex updated_date 2026/07/28
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.