Stability of spherically symmetric steady states in galactic dynamics against general perturbations
Mathematical Physics
2009-10-31 v1 Analysis of PDEs
math.MP
Abstract
Certain steady states of the Vlasov-Poisson system can be characterized as minimizers of an energy-Casimir functional, and this fact implies a nonlinear stability property of such steady states. In previous investigations by Y. Guo and the author stability was obtained only with respect to spherically symmetric perturbations. In the present investigation we show how to remove this unphysical restriction.
Keywords
Cite
@article{arxiv.math-ph/9910003,
title = {Stability of spherically symmetric steady states in galactic dynamics against general perturbations},
author = {Gerhard Rein},
journal= {arXiv preprint arXiv:math-ph/9910003},
year = {2009}
}
Comments
19 pages LaTeX