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

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

2008-03-13

arxiv.org/abs/0803.1933v1

Physics

Mathematical Physics

19 pages

Scientific paper

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.

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