About this article
Published Online: Aug 24, 2018
Page range: 43 - 63
Received: Feb 22, 2018
Accepted: Mar 21, 2018
DOI: https://doi.org/10.2478/amsil-2018-0004
Keywords
© 2018 Piotr Biler, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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 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.