Existence de deux solutions du type front progressif pour un modèle de combustion avec pertes de chaleur

This Note deals with the existence of planar flames, in the case of a single-step chemical reaction with volumetric heat losses. We prove the existence of two distinct solutions, for small values of the heat loss rate parameter. We also give upper bounds for the flame speed and for the heat loss rate parameter. To cite this article: L. Roques, C. R. Acad. Sci. Paris, Ser. I 340 (2005).