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math.AP2009★ 32 cited
Blowup of solutions to a diffusive aggregation model
Piotr Biler, Grzegorz Karch, Philippe Laurençot
The nonexistence of global in time solutions is studied for a class of aggregation equations involving Lévy diffusion operators and general interaction kernels.
math.AP2008★ 3 cited
Blow up of solutions to generalized Keller--Segel model
Piotr Biler, Grzegorz Karch
The existence and nonexistence of global in time solutions is studied for a class of equations generalizing the chemotaxis model of Keller and Segel. These equations involve Lévy d…