Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
Volume 67 / 1994
Colloquium Mathematicum 67 (1994), 297-308
DOI: 10.4064/cm-67-2-297-308
Abstract
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.
