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.
@article{1222716952,
author = {Schulze, Achim},
title = {Existence of axially symmetric solutions to the Vlasov-Poisson system
depending on Jacobi's integral},
journal = {Commun. Math. Sci.},
volume = {6},
number = {1},
year = {2008},
pages = { 711-727},
language = {en},
url = {http://dml.mathdoc.fr/item/1222716952}
}
Schulze, Achim. Existence of axially symmetric solutions to the Vlasov-Poisson system
depending on Jacobi's integral. Commun. Math. Sci., Tome 6 (2008) no. 1, pp. 711-727. http://gdmltest.u-ga.fr/item/1222716952/