Biler Singularities of Solutions to Chemotaxis Systems

1. Auflage 2019
ISBN: 978-3-11-059862-9
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 6, 231 Seiten

Reihe: De Gruyter Series in Mathematics and Life Sciences

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

Autoren/Hrsg.

Biler, Piotr

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

Piotr Biler, University of Wroclaw, Poland.