Singularities of Solutions to Chemotaxis Systems
Dec 2019 · De Gruyter Series in Mathematics and Life Sciences Book 6 · Walter de Gruyter GmbH & Co KG
Ebook
231
Pages
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About this ebook
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.
About the author
Piotr Biler, University of Wrocław, Poland.
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