Stable steady states in stellar dynamics
Mathematical Physics
2009-10-31 v1 Analysis of PDEs
math.MP
Abstract
We prove the existence and nonlinear stability of steady states of the Vlasov-Poisson system in the stellar dynamics case. The steady states are obtained as minimizers of an energy-Casimir functional from which fact their dynamical stability is deduced. The analysis applies to some of the well-known polytropic steady states, but it also considerably extends the class of known steady states.
Cite
@article{arxiv.math-ph/9806006,
title = {Stable steady states in stellar dynamics},
author = {Yan Guo and Gerhard Rein},
journal= {arXiv preprint arXiv:math-ph/9806006},
year = {2009}
}
Comments
22 pages, Latex