Existence of axially symmetric solutions to the Vlasov-Poisson system depending on Jacobi's integral
Mathematical Physics
2008-03-14 v1 Analysis of PDEs
math.MP
Abstract
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
Cite
@article{arxiv.0803.1933,
title = {Existence of axially symmetric solutions to the Vlasov-Poisson system depending on Jacobi's integral},
author = {Achim Schulze},
journal= {arXiv preprint arXiv:0803.1933},
year = {2008}
}
Comments
19 pages