Highly Influenced

# Stable Steady States in Stellar Dynamics

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

- 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.