Geodesic
Blow-up versus global existence of solutions to aggregation equations
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
Applicationes Mathematicae, Tome 38 (2011) no. 3, pp. 243-258 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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     title = {Blow-up versus global existence of solutions to aggregation equations},
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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

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