Berestycki, H.; Larrouturou, B. Quelques aspects mathématiques de la propagation des flammes prémélangées. (Some mathematical aspects of premixed flame propagation). (French) Zbl 0755.35090 Nonlinear partial differential equations and their applications, Lect. Coll. de France Semin., Paris/Fr. 1987-88, Vol. X, Pitman Res. Notes Math. Ser. 220, 65-129 (1991). Summary: [For the entire collection see Zbl 0728.00013.]We present a review of existing mathematical results concerning several models commonly used to describe the propagation of a premixed flame in an infinite open tube, as well as of the mathematical methods used to investigate these models. Cited in 15 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 80A25 Combustion 35K57 Reaction-diffusion equations Keywords:reaction-diffusion system Citations:Zbl 0728.00013 PDFBibTeX XMLCite \textit{H. Berestycki} and \textit{B. Larrouturou}, in: Bounds on the effective elastic constants of two-phase composite materials. . 65--129 (1991; Zbl 0755.35090)