Stable Steady States in Stellar Dynamics

@inproceedings{Lefschetz1999StableSS,
  title={Stable Steady States in Stellar Dynamics},
  author={Yan Guo Lefschetz},
  year={1999}
}
  • Yan Guo Lefschetz
  • Published 1999
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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