Existence of solutions for a model of self-gravitating particles with external potential

Andrzej Raczyński. "Existence of solutions for a model of self-gravitating particles with external potential." Banach Center Publications 66.1 (2004): 263-275. <http://eudml.org/doc/281710>.

@article{AndrzejRaczyński2004,
abstract = {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.},
author = {Andrzej Raczyński},
journal = {Banach Center Publications},
keywords = {nonlinear parabolic-elliptic system; Cauchy problem; pseudomeasure; external potential},
language = {eng},
number = {1},
pages = {263-275},
title = {Existence of solutions for a model of self-gravitating particles with external potential},
url = {http://eudml.org/doc/281710},
volume = {66},
year = {2004},
}

TY - JOUR
AU - Andrzej Raczyński
TI - Existence of solutions for a model of self-gravitating particles with external potential
JO - Banach Center Publications
PY - 2004
VL - 66
IS - 1
SP - 263
EP - 275
AB - 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.
LA - eng
KW - nonlinear parabolic-elliptic system; Cauchy problem; pseudomeasure; external potential
UR - http://eudml.org/doc/281710
ER -