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2018 | OriginalPaper | Chapter

Numerical and Analytical Investigation of Chemotaxis Models

Authors : Günter Bärwolff, Dominique Walentiny

Published in: Computational Science and Its Applications – ICCSA 2018

Publisher: Springer International Publishing

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Abstract

The Keller-Segel system is a linear parabolic-elliptic system, which describes the aggregation of slime molds resulting from their chemotactic features. By chemotaxis we understand the movement of an organism (like bacteria) in response to chemical stimulus, for example attraction by certain chemicals in the environment.
In this paper, we use the results of a paper by Zhou and Saito to validate our finite volume method with respect to blow-up analysis and equilibrium solutions. Based on these results, we study model variations and their blow-up behavior numerically.
We will discuss the question whether or not conservative numerical methods are able to model a blow-up behavior in the case of non-global existence of solutions.

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Metadata
Title
Numerical and Analytical Investigation of Chemotaxis Models
Authors
Günter Bärwolff
Dominique Walentiny
Copyright Year
2018
Book
Computational Science and Its Applications – ICCSA 2018

Print ISBN: 978-3-319-95164-5

Electronic ISBN: 978-3-319-95165-2

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-95165-2_1

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