We consider a special case of the three dimensional Vlasov-Poisson system
where the particles are restricted to a plane, a situation that is used in
astrophysics to model extremely flattened galaxies. We prove the existence of
steady states of this system. They are obtained as minimizers of an
energy-Casimir functional from which fact a certain dynamical stability
property is deduced. From a mathematics point of view these steady states
provide examples of partially singular solutions of the three dimensional
Vlasov-Poisson system.
Publié le : 1998-10-22
Classification:
Mathematical Physics,
Mathematics - Analysis of PDEs,
85A05,
35A15
@article{9810013,
author = {Rein, Gerhard},
title = {Flat steady states in stellar dynamics - existence and stability},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9810013}
}
Rein, Gerhard. Flat steady states in stellar dynamics - existence and stability. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810013/