Strongly Nonlinear Asymptotic Model of Cellular Instabilities in Premixed Flames with Stepwise Ignition-Temperature Kinetics

In this paper we consider an ignition-temperature, first-order reaction model of thermo-diffusive combustion that describes dynamics of thick flames arising, for example, in a theory of combustion of hydrogen-oxygen and ethylene-oxygen mixtures. These flames often assume the shape of propagating curved interfaces that can be identified with level sets corresponding to a prescribed ignition temperature. The present paper is concerned with the...