E-Book, Englisch, Band 6, 231 Seiten
Biler Singularities of Solutions to Chemotaxis Systems
1. Auflage 2019
ISBN: 978-3-11-059953-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 6, 231 Seiten
Reihe: De Gruyter Series in Mathematics and Life Sciences
ISBN: 978-3-11-059953-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Researchers and graduate students in partial differential equatio