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Stable Steady States in Stellar Dynamics

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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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Authors and Affiliations

  1. Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA, , , , , , US

    Yan Guo

  2. Mathematisches Institut der Universität München, Theresienstr. 39, 80333 München, Germany, , , , , , DE

    Gerhard Rein

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  1. Yan Guo
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  2. Gerhard Rein
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(Accepted August 17, 1998)

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Guo, Y., Rein, G. Stable Steady States in Stellar Dynamics. Arch Rational Mech Anal 147, 225–243 (1999). https://doi.org/10.1007/s002050050150

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  • DOI: https://doi.org/10.1007/s002050050150

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