Mathematical challenges in the theory of chemotaxis
Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue
Abstract
We consider the simplest parabolic-elliptic model of chemotaxisin the whole space and in several space dimensions. Criteria either for theexistence of radial global-in-time solutions or their blowup in terms of suitable Morrey spaces norms are discussed. This is an extended version of the lecture presented at the University of Silesia on January 12, 2018, commemorating Professor Andrzej Lasota — great scholar, master of fine mathematics and applications to real world.
Authors and Affiliations
Piotr Biler
Keywords
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- DOI 10.2478/amsil-2018-0004
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