Geodesic
Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
Colloquium Mathematicum, Tome 67 (1994) no. 2, pp. 297-308.

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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.
DOI : 10.4064/cm-67-2-297-308
Keywords: nonlinear boundary conditions, blowing-up solutions, global existence of solutions, parabolic-elliptic system

Piotr Biler 1 ; Danielle Hilhorst 1 ; Tadeusz Nadzieja 1

1 
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Piotr Biler; Danielle Hilhorst; Tadeusz Nadzieja. Existence and nonexistence of solutions for a model of gravitational interaction of particles, II. Colloquium Mathematicum, Tome 67 (1994) no. 2, pp. 297-308. doi : 10.4064/cm-67-2-297-308. http://geodesic.mathdoc.fr/articles/10.4064/cm-67-2-297-308/

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