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Vlavov and Poisson equations in the context of self-gravitating systems
Perez, Jérôme
Unité de Mathématiques Appliquées (UMA) ; École Nationale Supérieure de Techniques Avancées (ENSTA Paris)
ISSN: 0041-1450
EISSN: 1532-2424
Transport Theory and Statistical Physics
Taylor & Francis
hal-00983058
https://hal-ensta-paris.archives-ouvertes.fr//hal-00983058
https://hal-ensta-paris.archives-ouvertes.fr//hal-00983058
Transport Theory and Statistical Physics, Taylor & Francis, 2004, 34 (3), pp. 91-106
ARXIV: astro-ph/0402488
info:eu-repo/semantics/altIdentifier/arxiv/astro-ph/0402488
en
[PHYS.ASTR.IM]Physics [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM]
[SDU.ASTR.IM]Sciences of the Universe [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM]
info:eu-repo/semantics/article
Journal articles
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.
2004-02-20