Singularities of Solutions to Chemotaxis Systems

ISBN-13: 9783110597899 / Angielski / Twarda / 2019 / 231 str.

Piotr Biler

Opis

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.

O autorze

Piotr Biler, University of Wroclaw, Poland.