Singularities of Solutions to Chemotaxis Systems
Download or Read eBook Singularities of Solutions to Chemotaxis Systems PDF written by Piotr Biler and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-12-02 with total page 177 pages. Available in PDF, EPUB and Kindle.
| Author | : Piotr Biler |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 177 |
| Release | : 2019-12-02 |
| ISBN-10 | : 9783110598629 |
| ISBN-13 | : 3110598620 |
| Rating | : 4/5 (29 Downloads) |
Book Synopsis Singularities of Solutions to Chemotaxis Systems by : Piotr Biler
Book excerpt: The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the questions of global-in-time solvability and blowup characterization are largely open in higher dimensions. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived.
