Vlasov and poisson equations in the context of self-gravitating systems

Jérôme Perez

doi:10.1080/00411450500274691

Vlasov and poisson equations in the context of self-gravitating systems

Jérôme Perez

Sorbonne Univ.

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

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Résumé

We present Vlasov's equation and its association with Poisson's equation in the context of modelling selfgravitating systems such as globular clusters or galaxies. We first review the classical hypotheses of the model. We continue with a presentation of the HamiltonMorrison structure of Vlasov's equation to study the equilibrium and the stability of selfgravitating systems. Finally, we present some preliminary results concerning some properties of the timedependent solutions of the VlasovPoisson system.

langue originale	Anglais
Pages (de - à)	391-406
Nombre de pages	16
journal	Transport Theory and Statistical Physics
Volume	34
Numéro de publication	3-5
Les DOIs	https://doi.org/10.1080/00411450500274691
état	Publié - 1 août 2005

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10.1080/00411450500274691

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abstract = "We present Vlasov's equation and its association with Poisson's equation in the context of modelling selfgravitating systems such as globular clusters or galaxies. We first review the classical hypotheses of the model. We continue with a presentation of the HamiltonMorrison structure of Vlasov's equation to study the equilibrium and the stability of selfgravitating systems. Finally, we present some preliminary results concerning some properties of the timedependent solutions of the VlasovPoisson system.",

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AB - We present Vlasov's equation and its association with Poisson's equation in the context of modelling selfgravitating systems such as globular clusters or galaxies. We first review the classical hypotheses of the model. We continue with a presentation of the HamiltonMorrison structure of Vlasov's equation to study the equilibrium and the stability of selfgravitating systems. Finally, we present some preliminary results concerning some properties of the timedependent solutions of the VlasovPoisson system.

KW - Nondissipative physics

KW - Self-gravitating systems

KW - Theory

KW - Vlasov equation

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DO - 10.1080/00411450500274691

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Vlasov and poisson equations in the context of self-gravitating systems

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