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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.

MSC:
35Q35 PDEs in connection with fluid mechanics
80A25 Combustion
35K57 Reaction-diffusion equations
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