Singularities of Solutions to Chemotaxis Systems / / Piotr Biler.
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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Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2020 |
Year of Publication: | 2019 |
Language: | English |
Series: | De Gruyter Series in Mathematics and Life Sciences ,
6 |
Online Access: | |
Physical Description: | 1 online resource (XXIV, 207 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Introduction
- 1. Local-in-time solutions, small global-in-time solutions
- 2. Large global-in-time solutions to models of chemotaxis
- 3. Blowups
- 4. Blowups à la Fujita
- 5. Interpretations, complements, conjectures, et cetera
- Bibliography
- Index