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]
< Leer menos
Dipartimento di Matematica
Università degli studi di Parma = University of Parma [UNIPR]
Idioma
en
Article de revue
Este ítem está publicado en
Discrete and Continuous Dynamical Systems - Series S. 2020
American Institute of Mathematical Sciences
Fecha de defensa
2020Resumen en inglés
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 ...Leer más >
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.< Leer menos
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