Geodesic
Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential
Andrzej Raczy/nski1
1 Instytut Matematyczny Uniwersytet Wroc/lawski Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Studia Mathematica, Tome 179 (2007) no. 3, pp. 199-216

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential is studied in weak-$L^p$ spaces (i.e. Markiewicz spaces). The main goal is to prove the existence of global solutions and to study their large time behaviour.
DOI : 10.4064/sm179-3-1
Keywords: existence solutions nonlinear parabolic equation describing temporal evolution cloud self gravitating particles given external potential studied weak l spaces markiewicz spaces main prove existence global solutions study their large time behaviour

Andrzej Raczy/nski 1

1 Instytut Matematyczny Uniwersytet Wroc/lawski Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
@article{10_4064_sm179_3_1,
     author = {Andrzej Raczy/nski},
     title = {Weak-$L^{p}$ solutions for a model of
 self-gravitating particles with an external potential},
     journal = {Studia Mathematica},
     pages = {199--216},
     publisher = {mathdoc},
     volume = {179},
     number = {3},
     year = {2007},
     doi = {10.4064/sm179-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm179-3-1/}
}
TY  - JOUR
AU  - Andrzej Raczy/nski
TI  - Weak-$L^{p}$ solutions for a model of
 self-gravitating particles with an external potential
JO  - Studia Mathematica
PY  - 2007
SP  - 199
EP  - 216
VL  - 179
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm179-3-1/
DO  - 10.4064/sm179-3-1
LA  - en
ID  - 10_4064_sm179_3_1
ER  - 
%0 Journal Article
%A Andrzej Raczy/nski
%T Weak-$L^{p}$ solutions for a model of
 self-gravitating particles with an external potential
%J Studia Mathematica
%D 2007
%P 199-216
%V 179
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm179-3-1/
%R 10.4064/sm179-3-1
%G en
%F 10_4064_sm179_3_1
Andrzej Raczy/nski. Weak-$L^{p}$ solutions for a model of
 self-gravitating particles with an external potential. Studia Mathematica, Tome 179 (2007) no. 3, pp. 199-216. doi: 10.4064/sm179-3-1

Cité par Sources :