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math.AP2014
Local criteria for blowup in two-dimensional chemotaxis models
Piotr Biler, Tomasz Cieślak, Grzegorz Karch +1
We consider two-dimensional versions of the Keller--Segel model for the chemotaxis with either classical (Brownian) or fractional (anomalous) diffusion. Criteria for blowup of solu…
math.AP2014★ 4 cited
Optimal criteria for blowup of radial and -symmetric solutions of chemotaxis systems
Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz
A simple proof of concentration of mass equal to for blowing up -symmetric solutions of the Keller--Segel model of chemotaxis in two dimensions with large is given. Mor…