Straughan, B. (2020) 'Jordan – Cattaneo waves : analogues of compressible flow.', Wave motion., 98 . p. 102637.
Abstract
We review work of Jordan on a hyperbolic variant of the Fisher - KPP equation, where a shock solution is found and the amplitude is calculated exactly. The Jordan procedure is extended to a hyperbolic variant of the Chafee – Infante equation. Extension of Jordan’s ideas to a model for traffic flow are also mentioned. We also examine a diffusive susceptible - infected (SI) model, and generalizations of diffusive Lotka – Volterra equations, including a Lotka – Volterra – Bass competition model with diffusion. For all cases we show how a Jordan - Cattaneo wave may be analysed and we indicate how to find the wavespeeds and the amplitudes. Finally we present details of a fully nonlinear analysis of acceleration waves in a Cattaneo – Christov poroacoustic model.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Available under License - Creative Commons Attribution Non-commercial No Derivatives. Download PDF (344Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1016/j.wavemoti.2020.102637 |
| Publisher statement: | © 2020 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Date accepted: | 09 July 2020 |
| Date deposited: | 24 July 2020 |
| Date of first online publication: | 24 July 2020 |
| Date first made open access: | 24 July 2021 |
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