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Etude du système couplé Boltzmann sans collisions-Poisson pour la gravitation: simulations numériques de la formation des systèmes auto-gravitants

Abstract : We study the formation of self-gravitating systems and their properties by means of N-body simulations of gravitational collapse. First, we summarize the major analytical results concerning the collisionless Boltzmann equation and the Poisson's equation which describe the dynamics of collisionless gravitational systems. We present a study of some analytical solutions of this coupled system of equations. We then present the software used to perform the simulations. Some of this has been parallelized and implemented with the aid of MPI. For this reason we give a brief overview of it. Finally, we present the results of the numerical simulations. Analysis of these results allows us to explain some features of self-gravitating systems and the initial conditions needed to trigger the Antonov instability and the radial orbit instability.
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https://pastel.archives-ouvertes.fr/pastel-00002403
Contributor : Ecole Ensta Paristech <>
Submitted on : Friday, April 27, 2007 - 8:00:00 AM
Last modification on : Wednesday, February 12, 2020 - 10:10:04 AM
Long-term archiving on: : Wednesday, September 8, 2010 - 5:23:05 PM

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Fabrice Roy. Etude du système couplé Boltzmann sans collisions-Poisson pour la gravitation: simulations numériques de la formation des systèmes auto-gravitants. Mathématiques [math]. ENSTA ParisTech, 2004. Français. ⟨NNT : 2004VERS0011⟩. ⟨pastel-00002403⟩

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