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Nathan Kilker
CombustionKineticsNonlinear systemCurvatureAutoignition temperature
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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 analysis of such interfaces in two spatial dimensions ...
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