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.

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	391-406
Number of pages	16
Journal	Transport Theory and Statistical Physics
Volume	34
Issue number	3-5
DOIs	https://doi.org/10.1080/00411450500274691
Publication status	Published - 1 Aug 2005

Keywords

Nondissipative physics
Self-gravitating systems
Theory
Vlasov equation

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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

U2 - 10.1080/00411450500274691

DO - 10.1080/00411450500274691

M3 - Article

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SN - 0041-1450

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EP - 406

JO - Transport Theory and Statistical Physics

JF - Transport Theory and Statistical Physics

IS - 3-5

ER -

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

Abstract

Keywords

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