Singularities of Solutions to Chemotaxis Systems / / Piotr Biler.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Biler, Piotr,
• 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
• Physical Description: 1 online resource (XXIV, 207 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110599534; 9783110696288; 9783110696271; 9783110610765; 9783110664232; 9783110610406; 9783110606362
• ISSN: 2195-5530
• DOI: 10.1515/9783110599534
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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. In this book, global-in-time solutions are constructed under (nearly) optimal assumptions on initial data and rigorous blowup criteria are derived.