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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Bibliographic Details
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
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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