Stability of disk-like galaxies--Part I: Stability via reduction

Details Stability of disk-like galaxies--Part I: Stability via reduction Stability of disk-like galaxies--Part I: Stability via reduction

2006-05-26

arxiv.org/abs/math-ph/0605070v1

Analysis 26, 507 - 525 (2006)

Physics

Mathematical Physics

21 pages

Scientific paper

10.1524/anly.2006.26.4.507

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.

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