Stable Steady States in Stellar Dynamics |
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| Authors: | Yan Guo Gerhard Rein |
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| Institution: | Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA, US
Mathematisches Institut der Universit?t München, Theresienstr. 39, 80333 München, Germany, DE
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| Abstract: | 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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