Wave fronts in a bistable reaction-diffusion system with density-dependent diffusivity

D.E. Strier, D.H. Zanette and Horacio S. Wio

Physica A: Statistical Mechanics and its Applications, 1996, vol. 226, issue 3, 310-323

Abstract: We obtain wave-front solutions for a one-dimensional bistable reaction-diffusion model with density-dependent diffusivity. These solutions — which are expected to stand for the asymptotic behaviour of a wide class of initial conditions — should describe the evolution of the walls of constant density domains, spontaneously formed in this system. The piecewise linearized form of the reaction terms and of the diffusivity makes it possible to obtain analytical results for a situation of interest in many real applications — namely, a diffusivity that changes abruptly at a critical value of the density. We pay particular attention to the dependence of the wave-front velocity on the relevant parameters, and are able to outline some physical arguments that explain its features.

Date: 1996
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437195003975
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:226:y:1996:i:3:p:310-323

DOI: 10.1016/0378-4371(95)00397-5

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().