Stability of disk-like galaxies--Part I: Stability via reduction
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We prove the existence and stability of flat steady states of the Vlasov-Poisson system, which in astrophysics are used as models of disk-like galaxies. We follow the variational approach developed by Guo and Rein for this type of problems and extend previous results of Rein. In particular, we employ a reduction procedure which relates the stability problem for the Vlasov-Poisson system to the analogous question for the Euler-Poisson system.
Cite
@article{arxiv.math-ph/0605070,
title = {Stability of disk-like galaxies--Part I: Stability via reduction},
author = {Roman Firt and Gerhard Rein},
journal= {arXiv preprint arXiv:math-ph/0605070},
year = {2007}
}
Comments
21 pages