Campus Units

Mathematics

Document Type

Article

Publication Version

Published Version

Publication Date

1997

Journal or Book Title

SIAM Journal on Applied Mathematics

Volume

57

Issue

3

First Page

683

Last Page

730

DOI

10.1137/S0036139995291106

Abstract

We investigate the properties of solutions of a system of chemotaxis equations arising in the theory of reinforced random walks. We show that under some circumstances, finite-time blow-up of solutions is possible. In other circumstances, the solutions will decay to a spatially constant solution (collapse). We also give some intuitive arguments which demonstrate the possibility of the existence of aggregation (piecewise constant) solutions.

Comments

This is an article from SIAM Journal on Applied Mathematics 57 (1997): 683, doi:10.1137/S0036139995291106. Posted with permission.

Copyright Owner

Society for Industrial and Applied Mathematics

Language

en

File Format

application/pdf

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