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Singularities of Solutions to Chemotaxis Systems (De Gruyter Series in Mathematics and Life Sciences, 6) - Hardcover

Biler, Piotr

 
9783110597899: Singularities of Solutions to Chemotaxis Systems (De Gruyter Series in Mathematics and Life Sciences, 6)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Piotr Biler, University of Wrocław, Poland.

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