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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*

    Hardcover
    Publication Date:
    2020
    To be published:
    January 2020
    ISBN
    978-3-11-059789-9
    See all formats and pricing

    Overview

    • 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.

    Details

    24.0 x 17.0 cm
    Approx. xii, 210 pages
    3 Fig.
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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    Piotr Biler, University of Wrocław, Poland.

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