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Items for "Vlasov-Poisson system"

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
Existence and stability of static shells for the Vlasov–Poisson system

We prove the existence and stability of stationary solutions to the Vlasov–Poisson System with spherical symmetry, which describe static shells, i.e., the support of their densities is bounded away from the origin...

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

04/2006 | Analysis, Oldenbourg Wissenschaftsverlag