ArticleOriginal scientific text
Title
Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
Authors 1, 2, 1
Affiliations
- Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
- Laboratoire d'Analyse Numérique d'Orsay, Université de Paris-Sud, bât. 425, 91405 Orsay, France
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.
Keywords
nonlinear boundary conditions, blowing-up solutions, global existence of solutions, parabolic-elliptic system
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Pages:
297-308
Main language of publication
English
Received
1994-01-31
Published
1994
Exact and natural sciences