Travelling waves in an ionic quadratic autocatalytic chemical system

Citation
Ab. Finlayson et Jh. Merkin, Travelling waves in an ionic quadratic autocatalytic chemical system, MATH COMP M, 29(5), 1999, pp. 89-112
Citations number
26
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
29
Issue
5
Year of publication
1999
Pages
89 - 112
Database
ISI
SICI code
0895-7177(199903)29:5<89:TWIAIQ>2.0.ZU;2-W
Abstract
The influence of a constant electric field on the travelling waves that are initiated in an ionic autocatalytic reaction-diffusion system with quadrat ic rate law is considered. The necessary conditions for the existence of mi nimum speed travelling waves are established and examples of such waves hav e been generated using numerical simulation. The behaviour of the system wh en the necessary conditions are not satisfied is also examined. This behavi our involves electrophoretic separation and reaction termination, each of w hich is discussed using examples obtained from numerical simulation. (C) 19 99 Elsevier Science Ltd. All rights reserved.