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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm_67_2_297_308,
     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 Mathematicum},
     pages = {297--308},
     year = {1994},
     volume = {67},
     number = {2},
     doi = {10.4064/cm-67-2-297-308},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-67-2-297-308/}
}
TY  - JOUR
AU  - Piotr Biler
AU  - Danielle Hilhorst
AU  - Tadeusz Nadzieja
TI  - Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
JO  - Colloquium Mathematicum
PY  - 1994
SP  - 297
EP  - 308
VL  - 67
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-67-2-297-308/
DO  - 10.4064/cm-67-2-297-308
LA  - en
ID  - 10_4064_cm_67_2_297_308
ER  - 
%0 Journal Article
%A Piotr Biler
%A Danielle Hilhorst
%A Tadeusz Nadzieja
%T Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
%J Colloquium Mathematicum
%D 1994
%P 297-308
%V 67
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-67-2-297-308/
%R 10.4064/cm-67-2-297-308
%G en
%F 10_4064_cm_67_2_297_308
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

Cité par Sources :