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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2020

INSTABILITY OF FREE INTERFACES IN PREMIXED FLAME PROPAGATION

Résumé

In this survey, we are interested in the instability of flame fronts regarded as free interfaces. We successively consider a classical Arrhenius ki-netics (thin flame) and a stepwise ignition-temperature kinetics (thick flame) with two free interfaces. A general method initially developed for thin flame problems subject to interface jump conditions is proving to be an effective strategy for smoother thick flame systems. It relies on the elimination of the free interface(s) and reduction to a fully nonlinear parabolic problem. The theory of analytic semigroups is a key tool to study the linearized operators.
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Dates et versions

hal-02504592 , version 1 (10-03-2020)

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Claude-Michel Brauner, Luca Lorenzi. INSTABILITY OF FREE INTERFACES IN PREMIXED FLAME PROPAGATION. Discrete and Continuous Dynamical Systems - Series S, inPress, ⟨10.3934/dcdss.2020363⟩. ⟨hal-02504592⟩
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