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Items for "nonlinear stability"

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

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...

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

04/2006 | Analysis, Oldenbourg Wissenschaftsverlag
Stability of disk-like galaxies – Part II: The Kuzmin disk

We prove the existence and nonlinear stability of the Kuzmin disk, a polytropic steady state of the Vlasov–Poisson system widely used in astrophysics, which has infinite support, but finite mass...

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

04/2007 | Analysis, Oldenbourg Wissenschaftsverlag