Traveling Waves Solutions To General Isothermal Diffusion Systems

Keywords

Auto-catalytic chemical reaction; Existence; Isothermal diffusion; Minimum speed; Traveling wave

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.

Publication Date

5-28-2015

Publication Title

Nonlinear Analysis: Real World Applications

Volume

26

Number of Pages

1-18

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.nonrwa.2015.03.010

Socpus ID

84930197476 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84930197476

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