Nonlinear Instability Theory of Lane-Emden stars
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🧮 math.AP
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instabilitylane-emdennonlinearadiabaticaroundconfigurationsequilibriumestablish
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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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