Vlavov and Poisson equations in the context of self-gravitating systems

Abstract : We present Vlasov's equation and its association with Poisson's equation in the context of modelling self-gravitating systems such as Globular Clusters or Galaxies. We first review the classical hypotheses of the model. We continue with a presentation of the Hamilton-Morrison structure of Vlasov's equation to study the equilibrium and the stability of self-gravitating systems. Finally, we present some preliminary results concerning some properties of the time dependent solutions of the Vlasov-Poisson system.
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Transport Theory and Statistical Physics, Taylor & Francis, 2004, 34 (3), pp. 91-106
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Soumis le : jeudi 24 avril 2014 - 16:53:57
Dernière modification le : mercredi 29 novembre 2017 - 15:53:00

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Jérôme Perez. Vlavov and Poisson equations in the context of self-gravitating systems. Transport Theory and Statistical Physics, Taylor & Francis, 2004, 34 (3), pp. 91-106. 〈hal-00983058〉

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