Title

The Existence And Non-Existence Of Travelling Front In High Order Auto-Catalysis Chemical Reaction

Keywords

high order autocatalysis; minimum speed; reaction-diffusion; travelling wave

Abstract

This article studies propagating wave fronts in an isothermal chemical reaction A+nB → (n+1)B involving two chemical species, a reactant A and an auto-catalyst B whose diffusion coefficients, D A and D B, are unequal due to different molecular weights and/or sizes. More accurate bounds v * and v * that depend on D B/D A, when the ratio is less than 1, are derived such that there is a unique travelling wave of every speed v ≥ v * and there does not exist any travelling wave of speed v < v *. The refined bounds for D B/D A < 1 case is compatible to what has been shown in earlier work for D B/D A > 1 when n ≥ 3. © 2012 Science China Press and Springer-Verlag Berlin Heidelberg.

Publication Date

9-1-2012

Publication Title

Science China Mathematics

Volume

55

Issue

9

Number of Pages

1761-1768

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11425-012-4436-5

Socpus ID

84865572372 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84865572372

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