An asymptotic and rigorous study of flames with reversible chain branching

Article type: Research Article

Authors: Fife, Paul C. | Hastings, Stuart P. | Lu, Chunqing

Affiliations: Mathematics Department, University of Utah, USA | Mathematics Department, University of Pittsburgh, USA | Department of Mathematics, Southern Illinois University at Edwardsville, USA

Abstract: An asymptotic analysis is given for the system of nonlinear second order ordinary differential equations modeling the propagation of a flame with chemical reactions typical of reversible chain branching kinetics. The basic small parameter is the inverse of the activation energy of first forward reaction, but 2 other parameters enter prominently into the analysis. A thorough formal analysis is given for this problem, and the asymptotics is justified, in its essential features, through a rigorous analysis.

DOI: 10.3233/ASY-1991-5101

Journal: Asymptotic Analysis, vol. 5, no. 1, pp. 1-26, 1991