Jordan – Cattaneo waves: Analogues of compressible flow

Straughan, B.

doi:10.1016/j.wavemoti.2020.102637

Jordan – Cattaneo waves: Analogues of compressible flow

Straughan, B.

Authors

B. Straughan

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.

Citation

Straughan, B. (2020). Jordan – Cattaneo waves: Analogues of compressible flow. Wave Motion, 98, Article 102637. https://doi.org/10.1016/j.wavemoti.2020.102637

Journal Article Type	Article
Acceptance Date	Jul 9, 2020
Online Publication Date	Jul 24, 2020
Publication Date	2020-11
Deposit Date	Jul 24, 2020
Publicly Available Date	Jul 24, 2021
Journal	Wave Motion
Print ISSN	0165-2125
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	98
Article Number	102637
DOI	https://doi.org/10.1016/j.wavemoti.2020.102637

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http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright 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/