Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904846 | Advances in Mathematics | 2018 | 42 Pages |
Abstract
We consider the parabolic-elliptic model for the chemotaxis with fractional (anomalous) diffusion. Global-in-time solutions are constructed under (nearly) optimal assumptions on the size of radial initial data. Moreover, criteria for blowup of radial solutions in terms of suitable Morrey spaces norms are derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz,