Mathematical Challenges in the Theory of Chemotaxis

  • Piotr Biler
  • Annales Mathematicae Silesianae, September 2018, De Gruyter
  • DOI: 10.2478/amsil-2018-0004

New mathematical issues in models of biological phenomenon of chemotaxis

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.

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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