Blow-up versus global existence of solutions to aggregation equations
Grzegorz Karch ; Kanako Suzuki
Applicationes Mathematicae, Tome 38 (2011), p. 243-258 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:279888 
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     author = {Grzegorz Karch and Kanako Suzuki},
     title = {Blow-up versus global existence of solutions to aggregation equations},
     journal = {Applicationes Mathematicae},
     volume = {38},
     year = {2011},
     pages = {243-258},
     zbl = {1233.35046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-3-1}
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Grzegorz Karch; Kanako Suzuki. Blow-up versus global existence of solutions to aggregation equations. Applicationes Mathematicae, Tome 38 (2011) pp. 243-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-3-1/