Traveling waves solutions to general isothermal diffusion systems. (December 2015)

• Record Type: Journal Article
• Authors: Qi, Yuanwei
• Is Part Of: Nonlinear analysis. Volume 26(2015)
• Page Start: 1
• Page End: 18
• Publication Date: 2015-12
• Subjects: Isothermal diffusion -- Auto-catalytic chemical reaction -- Traveling wave -- Existence -- Minimum speed; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.03.010
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This article studies propagating traveling waves in a class of reaction–diffusion systems in one dimensional space which model isothermal diffusion, bio-reactor and auto-catalytic chemical reactions. In addition, the reaction terms are non-KPP, which denies a linear theory for determining minimum speed. By using novel techniques, it is shown that the minimum speed depends, for a given reaction term, on the size of ratio of diffusion coefficients D in a subtle way; with the case D > 1 demonstrating very different properties from that of D < 1 .