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Singularities of Solutions to Chemotaxis Systems

Singularities of Solutions to Chemotaxis Systems

Hardcover

Series: de Gruyter Mathematics and Life Sciences, Book 6

BiologyGeneral Mathematics

ISBN10: 3110597896
ISBN13: 9783110597899
Publisher: De Gruyter
Published: Dec 2 2019
Pages: 231
Weight: 1.10
Height: 0.70 Width: 7.00 Depth: 9.60
Language: English

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.

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General Mathematics