Title
Existence And Nonexistence Of Travelling Waves Of A Reaction-Diffusion System
Keywords
Applied electric field; Existence; Iodate-arsenous-acid reaction; Reaction-diffusion; Travelling wave
Abstract
In this paper we study the existence and nonexistence of travelling waves of the reaction-diffusion system {at=axx-Eax-ab-kabq,bt=Dbxx-DEbx+ab+kabq, where a, b are concentration densities of the two chemical species, D>0 is the ratio of diffusion coefficients of the two chemical species involved, E is the strength of the electric field applied, k>0 is a parameter and q>1. The system arises from the study of two-dimensional iodate-arsenous-acid (IAA) reaction with a constant electric field applied. (IAA) reaction is very much studied in experiments and demonstrates the interesting phenomenon of instability driven by buoyancy of travelling waves. By using a novel approach, explicit bounds c*(D, E) and c*(D, E) are derived such that there is a unique travelling wave of every speed c≥c*(D, E) and there does not exist any travelling wave of speed c
Publication Date
5-1-2013
Publication Title
Journal of Mathematical Analysis and Applications
Volume
401
Issue
1
Number of Pages
130-139
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.jmaa.2012.09.060
Copyright Status
Unknown
Socpus ID
84872956515 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84872956515
STARS Citation
Liu, Guirong and Qi, Yuanwei, "Existence And Nonexistence Of Travelling Waves Of A Reaction-Diffusion System" (2013). Scopus Export 2010-2014. 6897.
https://stars.library.ucf.edu/scopus2010/6897