Singularities of Solutions to Chemotaxis Systems

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  • Singularities of Solutions to Chemotaxis Systems Book Detail

  • Author : Piotr Biler
  • Release Date : 2019-12-02
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Genre : Mathematics
  • Pages : 231
  • ISBN 13 : 3110599538
  • File Size : 30,30 MB

Singularities of Solutions to Chemotaxis Systems by Piotr Biler PDF Summary

Book Description: 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.

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