Stable steady states in stellar dynamics

Details Stable steady states in stellar dynamics Stable steady states in stellar dynamics

1998-06-10

arxiv.org/abs/math-ph/9806006v1

Arch. Rational Mech. Anal. 147, 225-243 (1999)

Physics

Mathematical Physics

22 pages, Latex

Scientific paper

10.1007/s002050050150

We prove the existence and nonlinear stability of steady states of the Vlasov-Poisson system in the stellar dynamics case. The steady states are obtained as minimizers of an energy-Casimir functional from which fact their dynamical stability is deduced. The analysis applies to some of the well-known polytropic steady states, but it also considerably extends the class of known steady states.

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