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

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

2004-02-20

arxiv.org/abs/astro-ph/0402488v1

Astronomy and Astrophysics

Astrophysics

13 pages, no figures, Review paper presented in First International Workshop on the Theory and Applications of the Vlasov Equa

Scientific paper

10.1080/00411450500274691

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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