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

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

2005-09-04

arxiv.org/abs/math/0509073v1

Mathematics

Analysis of PDEs

Scientific paper

The dynamics of gaseous stars can be described by the Euler-Poisson system.
Inspired by Rein's stability result for $\gamma>{4/3}$, we prove the nonlinear
instability of steady states for the adiabatic exponent $\gamma={6/5}$ in
spherically symmetric and isentropic motion.

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