We prove some properties of solutions for the canonical equation of star clusters obtained using the same ideas as in Talpaert's works. Using these properties, we deduce the main result of the paper: in the case of spherical symmetry, if a stationary solution exists, then the total mass of the cluster is infinite.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-2-7,
author = {M'hamed Kesri},
title = {Solutions globales du syst\`eme int\'egro-diff\'erentiel non lin\'eaire de Liouville-Boltzmann-Poisson et l'\'equation spectrale},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {265-281},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-2-7}
}
M'hamed Kesri. Solutions globales du système intégro-différentiel non linéaire de Liouville-Boltzmann-Poisson et l'équation spectrale. Colloquium Mathematicae, Tome 106 (2006) pp. 265-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-2-7/