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.
- ISBN10 3110599538
- ISBN13 9783110599534
- Publish Date 2 December 2019
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 231
- Language English
- URL https://degruyter.com/isbn/9783110599534