Flat steady states in stellar dynamics - existence and stability
Mathematical Physics
2009-10-31 v1 Analysis of PDEs
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/9810013,
title = {Flat steady states in stellar dynamics - existence and stability},
author = {Gerhard Rein},
journal= {arXiv preprint arXiv:math-ph/9810013},
year = {2009}
}
Comments
25 pages, LaTeX