We study the existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-18,
author = {Andrzej Raczy\'nski},
title = {Existence of solutions for a model of self-gravitating particles with external potential},
journal = {Banach Center Publications},
volume = {65},
year = {2004},
pages = {263-275},
zbl = {1235.35150},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-18}
}
Andrzej Raczyński. Existence of solutions for a model of self-gravitating particles with external potential. Banach Center Publications, Tome 65 (2004) pp. 263-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-18/