Nonlinear Instability in Gravitational Euler-Poisson system for $γ={6/5}$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76252The dynamics of gaseous stars can be described by the Euler-Poisson system. Inspired by Rein's stability result for $γ>{4/3}$, we prove the nonlinear instability of steady states for the adiabatic exponent $γ={6/5}$ in spherically symmetric and isentropic motion.Analysis of PDEsMathematical Physics35Q05; 76E20Nonlinear Instability in Gravitational Euler-Poisson system for $γ={6/5}$text