Fabrice, Roy (2004) Analysis of the gravitational coupled collisionless Boltzmann-poisson equations and numerical simulations of the formation of self-gravitating systems Thesis, ENSTA.

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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.

Item Type:Thesis (Thesis)
Uncontrolled Keywords:Parallel computing
Subjects:Mathematics and Applications
ID Code:2403
Deposited By:Julien Karachehayas
Deposited On:27 avr. 2007 02:20
Dernière modification:05 juin 2013 09:13

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