INSTABILITY OF FREE INTERFACES IN PREMIXED FLAME PROPAGATION
LORENZI, Luca
Dipartimento di Matematica
Università degli studi di Parma = University of Parma [UNIPR]
Dipartimento di Matematica
Università degli studi di Parma = University of Parma [UNIPR]
LORENZI, Luca
Dipartimento di Matematica
Università degli studi di Parma = University of Parma [UNIPR]
< Réduire
Dipartimento di Matematica
Università degli studi di Parma = University of Parma [UNIPR]
Langue
en
Article de revue
Ce document a été publié dans
Discrete and Continuous Dynamical Systems - Series S. 2020
American Institute of Mathematical Sciences
Date de soutenance
2020Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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