A geometric construction of travelling wave solutions to the Keller–Segel model
| Data(s) |
01/12/2013
|
|---|---|
| Resumo |
We study a version of the Keller–Segel model for bacterial chemotaxis, for which exact travelling wave solutions are explicitly known in the zero attractant diffusion limit. Using geometric singular perturbation theory, we construct travelling wave solutions in the small diffusion case that converge to these exact solutions in the singular limit. |
| Formato |
application/pdf |
| Identificador | |
| Relação |
http://eprints.qut.edu.au/67126/1/proceedings_paper3.pdf http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/7801 Harley, K., van Heijster, P., & Pettet, G.J. (2013) A geometric construction of travelling wave solutions to the Keller–Segel model. In Proceedings of the 11th Biennial Engineering Mathematics and Applications Conference, EMAC-2013, Brisbane, QLD, C399-C415. http://purl.org/au-research/grants/ARC/DP110102775 |
| Direitos |
Copyright 2013 The Author(s) |
| Fonte |
School of Mathematical Sciences |
| Palavras-Chave | #010110 Partial Differential Equations #010202 Biological Mathematics #010204 Dynamical Systems in Applications #travelling waves #Keller-Siegel #Geometric singular perturbation theory |
| Tipo |
Conference Paper |
