An asymptotic and rigorous study of flames with reversible chain branching

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.