Vlavov and Poisson equations in the context of self-gravitating systems
2005
Publication type:
Paper in peer-reviewed journals
Journal:
Transport Theory and Statistical Physics, vol. 34 (3-5), pp. 91-106
HAL:
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.
BibTeX:
@article{Per-2005,
author={Jérôme Perez },
title={Vlavov and Poisson equations in the context of
self-gravitating systems },
doi={10.1080/00411450500274691 },
journal={Transport Theory and Statistical Physics },
year={2005 },
volume={34 (3-5) },
pages={91--106},
}