Blowup of solutions to generalized Keller–Segel model

By Piotr Biler, Grzegorz Karol Karch. 2008

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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 diffusion operators and general potential type nonlinear terms.

Subfields: Computational Theory and Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/6de9af53f4f70abcb86a3aee5c76c44412b2d617