Mathematical Challenges in the Theory of Chemotaxis

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 Morrey spaces norms are discussed. This is an extended version of the lecture...

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Bibliographic Details
Main Author: Biler Piotr
Format: Article
Language:English
Published: Sciendo 2018-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:http://www.degruyter.com/view/j/amsil.2018.32.issue-1/amsil-2018-0004/amsil-2018-0004.xml?format=INT