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Roman Firt, Gerhard Rein

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

Keywords: Vlasov-Poisson system, nonlinear stability, galactic dynamics

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 [5, 6, 7] for this type of problems and extend previous results of REIN [11]. 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.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 26, 04/2006
Pages: 507 - 525

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