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Local criteria for blowup in two-dimensional chemotaxis models (1410.7807v3)
Published 28 Oct 2014 in math.AP
Abstract: 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 solutions in terms of suitable Morrey spaces norms are derived. Moreover, the impact of the consumption term on the global-in-time existence of solutions is analyzed for the classical Keller--Segel system.
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