A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
In previous work by Y. Guo and G. Rein, nonlinear stability of equilibria in stellar dynamics, i.e., of steady states of the Vlasov-Poisson system, was accessed by variational techniques. Here we propose a different, non-variational technique and use it to prove nonlinear stability of the King model against a class of spherically symmetric, dynamically accessible perturbations. This model is very important in astrophysics and was out of reach of the previous techniques.
Cite
@article{arxiv.math-ph/0602058,
title = {A non-variational approach to nonlinear stability in stellar dynamics applied to the King model},
author = {Yan Guo and Gerhard Rein},
journal= {arXiv preprint arXiv:math-ph/0602058},
year = {2007}
}