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Journal Articles Transport Theory and Statistical Physics Year : 2004

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

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1
Jérôme Perez

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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hal-00983058 , version 1 (24-04-2014)

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

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