Travelling fronts of reaction diffusion systems modeling auto-catalysis

Pages: 622 - 629, Issue Special, September 2009

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Yuanwei Qi - Department of Mathematics, University of Central Florida, Orlando, Fl 32816, United States (email)

Abstract: In this paper, we demonstrate new methods to prove existence of travelling front solutions and better estimates of minimum travelling speed to reaction diffusion systems modelling cubic Auto-Catalysis chemical reactions A + 2B $\rightarrow$ 3B involving two chemical species, a reactant A and an auto-catalyst B. Furthermore, we show the development of interface in the form of travelling fronts for quadratic Auto-Catalysis chemical reactions A + B $\rightarrow$ 2B when initial values are set up similar to an experiment involving Auto-Catalysis as a key step.

Keywords:  Travelling front solutions, quadratic Auto-Catalysis chemical reactions
Mathematics Subject Classification:  Primary:35A

Received: August 2008;      Revised: May 2009;      Published: September 2009.