Relative equilibria in continuous stellar dynamics
Analysis of PDEs
2012-06-08 v1
Abstract
We study a three dimensional continuous model of gravitating matter rotating at constant angular velocity. In the rotating reference frame, by a finite dimensional reduction, we prove the existence of non radial stationary solutions whose supports are made of an arbitrarily large number of disjoint compact sets, in the low angular velocity and large scale limit. At first order, the solutions behave like point particles, thus making the link with the relative equilibria} in N-body dynamics.
Cite
@article{arxiv.1001.4866,
title = {Relative equilibria in continuous stellar dynamics},
author = {Juan Campos Serrano and Manuel Del Pino and Jean Dolbeault},
journal= {arXiv preprint arXiv:1001.4866},
year = {2012}
}