On the Generalized Antonov's Stability Criterion for Polytropic Steady States
نویسنده
چکیده
By a study of the energy minimization of the Vlasov-Poisson system subject to a new class of constraints, it is shown that generalized polytropes are dynamically stable among symmetric perturbations for the parameter range 0 ?1. In particular for l =0, this result justiies the classical Antonov's linear stability criterion for polytropes in a dynamical, nonlinear setting.
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تاریخ انتشار 2007