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

Juhi Jang
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Abstract

The 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.

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Juhi Jang. 2005-09-04. Nonlinear Instability in Gravitational Euler-Poisson system for $γ={6/5}$. https://arxiv.org/abs/math/0509073

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