Download or read book Singularities of Solutions to Chemotaxis Systems written by Piotr Biler and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-12-02 with total page 231 pages. Available in PDF, EPUB and Kindle. 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.