Blow-up versus global existence of solutions to aggregation equations
Applicationes Mathematicae, Tome 38 (2011) no. 3, pp. 243-258.

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

A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.
DOI : 10.4064/am38-3-1
Keywords: class nonlinear viscous transport equations describing aggregation phenomena biology considered general conditions interaction potential obtained which lead either existence nonexistence global in time solutions

Grzegorz Karch 1 ; Kanako Suzuki 2

1 Instytut Matematyczny Uniwersytet Wrocławski pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
2 Graduate School of Information Sciences Tohoku University 6-3-09 Aramaki-aza-Aoba, Aoba-ku Sendai 980-8579, Japan
@article{10_4064_am38_3_1,
     author = {Grzegorz Karch and Kanako Suzuki},
     title = {Blow-up versus global existence of solutions to aggregation equations},
     journal = {Applicationes Mathematicae},
     pages = {243--258},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {2011},
     doi = {10.4064/am38-3-1},
     zbl = {1233.35046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am38-3-1/}
}
TY  - JOUR
AU  - Grzegorz Karch
AU  - Kanako Suzuki
TI  - Blow-up versus global existence of solutions to aggregation equations
JO  - Applicationes Mathematicae
PY  - 2011
SP  - 243
EP  - 258
VL  - 38
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am38-3-1/
DO  - 10.4064/am38-3-1
LA  - en
ID  - 10_4064_am38_3_1
ER  - 
%0 Journal Article
%A Grzegorz Karch
%A Kanako Suzuki
%T Blow-up versus global existence of solutions to aggregation equations
%J Applicationes Mathematicae
%D 2011
%P 243-258
%V 38
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am38-3-1/
%R 10.4064/am38-3-1
%G en
%F 10_4064_am38_3_1
Grzegorz Karch; Kanako Suzuki. Blow-up versus global existence of solutions to aggregation equations. Applicationes Mathematicae, Tome 38 (2011) no. 3, pp. 243-258. doi : 10.4064/am38-3-1. http://geodesic.mathdoc.fr/articles/10.4064/am38-3-1/

Cité par Sources :