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Nonlinear Instability Theory of Lane-Emden stars (1211.2463v1)

Published 11 Nov 2012 in math.AP

Abstract: We establish a nonlinear instability of the Euler-Poisson system for polytropic gases whose adiabatic exponents take value in $6/5<\gamma<4/3$ around the Lane-Emden equilibrium star configurations.

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