We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.
@article{bwmeta1.element.bwnjournal-article-cmv67i2p297bwm, author = {Piotr Biler and Danielle Hilhorst and Tadeusz Nadzieja}, title = {Existence and nonexistence of solutions for a model of gravitational interaction of particles, II}, journal = {Colloquium Mathematicae}, volume = {67}, year = {1994}, pages = {297-308}, zbl = {0832.35015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv67i2p297bwm} }
Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz. Existence and nonexistence of solutions for a model of gravitational interaction of particles, II. Colloquium Mathematicae, Tome 67 (1994) pp. 297-308. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv67i2p297bwm/
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