Singularities of Solutions to Chemotaxis Systems
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...
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| Format: | eBook |
| Language: | English |
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Berlin, Munich, Boston
De Gruyter
2020, [2019]©2020
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| Series: | De Gruyter Series in Mathematics and Lifeces
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| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | 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 |
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| Physical Description: | XXIV 207 Seiten |
| ISBN: | 978-3-11-059953-4 978-3-11-059862-9 |
| ISSN: | 2195-5530 |