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