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.
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.

Singularities of Solutions to Chemotaxis Systems
231
Singularities of Solutions to Chemotaxis Systems
231Product Details
ISBN-13: | 9783110598629 |
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Publisher: | De Gruyter |
Publication date: | 12/02/2019 |
Series: | De Gruyter Series in Mathematics and Life Sciences , #6 |
Sold by: | Barnes & Noble |
Format: | eBook |
Pages: | 231 |
File size: | 36 MB |
Note: | This product may take a few minutes to download. |
Age Range: | 18 Years |