Singularities of Solutions to Chemotaxis Systems

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Mathematics - Applied Mathematics
Singularities of Solutions to...

Singularities of Solutions to Chemotaxis Systems

Name: Singularities of Solutions to Chemotaxis Systems
ISBN: 9783110599534

Piotr Biler

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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.

An authoritative book on the formation of singularities in the Keller-Segel chemotaxis system
Covers both the two-dimensional case as well as higher dimensions
Of interest to researchers in partial differential equations and mathematical biology

카테고리:

Mathematics - Applied Mathematics

년:

2019

출판사:

De Gruyter

언어:

english

페이지:

231

ISBN 10:

3110599538