Singularities of Solutions to Chemotaxis Systems

by Piotr Biler

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.

• Format: Hardcover
• Language: English
• ISBN: 3110597896
• ISBN13: 9783110597899
• Release Date: December 2019
• Publisher: de Gruyter
• Length: 231 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.7" x 7.0" x 9.6"
• Grade Range: Postsecondary