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Biler, Piotr

Singularities of Solutions to Chemotaxis Systems

Series:De Gruyter Series in Mathematics and Life Sciences 6

    103,95 € / $119.99 / £94.50*

    eBook (PDF)
    Publication Date:
    December 2019
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    An authoritative book on the formation of singularities in the Keller-Segel chemotaxis system Covers both the two-dimensional case as well as higher dimensions Of interest to researchers in partial differential equations and mathematical biology

    Aims and Scope

    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.


    24.0 x 17.0 cm
    xxiv, 207 pages
    3 Fig.
    Type of Publication:

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    Piotr Biler, University of Wrocław, Poland.

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