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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245 1 0 |a Singularities of Solutions to Chemotaxis Systems /  |c Piotr Biler. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2019] 
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505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t Introduction --   |t 1. Local-in-time solutions, small global-in-time solutions --   |t 2. Large global-in-time solutions to models of chemotaxis --   |t 3. Blowups --   |t 4. Blowups à la Fujita --   |t 5. Interpretations, complements, conjectures, et cetera --   |t Bibliography --   |t Index 
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520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Burgers equation. 
650 0 |a Chemotaxis  |x Mathematics. 
650 0 |a Nonlinear systems. 
650 4 |a Blow up ‹Differentialgleichung›. 
650 4 |a Chemotaxi. 
650 4 |a Globale Lösung. 
650 4 |a Parabolische partielle Differentialgleichung. 
650 4 |a Singularität ‹Mathematik›. 
650 7 |a MATHEMATICS / Differential Equations / Partial.  |2 bisacsh 
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