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A new model in flame theory. (English) Zbl 0544.76134
In a recent paper [SIAM J. Appl. Math. 37, 686-699 (1979; Zbl 0437.76065)] B. J. Matkowsky and G. I. Sivashinsky employed asymptotic methods to derive a simplified model in flame theory from the general equations of combustion. The model was derived under assumption of weak thermal expansion. Here, this assumption is relaxed somewhat and in addition a more general temperature dependence of the thermal conductivity, heat capacity and diffusivity is assumed. A number of solutions of the model, representing various types of flames are presented, and their stability is analyzed.

MSC:
76V05 Reaction effects in flows
76E99 Hydrodynamic stability
80A32 Chemically reacting flows
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