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arXiv · 1705.03310

Large global-in-time solutions to a nonlocal model of chemotaxis

Piotr Biler·Grzegorz Karch·Jacek Zienkiewicz
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Abstract

We consider the parabolic-elliptic model for the chemotaxis with fractional (anomalous) diffusion. Global-in-time solutions are constructed under (nearly) optimal assumptions on the size of radial initial data. Moreover, criteria for blowup of radial solutions in terms of suitable Morrey spaces norms are derived.

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Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz. 2017-05-09. Large global-in-time solutions to a nonlocal model of chemotaxis. https://arxiv.org/abs/1705.03310

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