Existence of axially symmetric solutions to the Vlasov-Poisson system depending on Jacobi's integral

We prove the existence of axially symmetric solutions to the Vlasov-Poisson system in a rotating setting for sufficiently small angular velocity. The constructed steady states depend on Jacobi's integral and the proof relies on an implicit function theorem for operators.

Keywords

Vlasov-Poisson system, galactic dynamics, stationary solutions

2010 Mathematics Subject Classification

85A05

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Published 1 January 2008