Singularities of Solutions to Chemotaxis Systems

Beschreibung

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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Piotr Biler

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Blow up <Differentialgleichung> Chemotaxi Globale Lösung Parabolische partielle Differentialgleichung Singularität <Mathematik>

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