What is it about?
We consider the simplest parabolic-elliptic model of chemotaxis in the whole space and in several space dimensions. Criteria either for the existence of radial global-in-time solutions or their blowup in terms of suitable functional spaces norms are discussed.
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Why is it important?
This offers a new view on the Keller-Segel model of chemotaxis: solvability and asymptotics of solutions.
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This page is a summary of: Mathematical Challenges in the Theory of Chemotaxis, Annales Mathematicae Silesianae, September 2018, De Gruyter,
DOI: 10.2478/amsil-2018-0004.
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