In this survey, we are interested in the instability of flame fronts regarded as free interfaces. We successively consider a classical Arrhenius kinetics (thin flame) and a stepwise ignition-tempera ture 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.
Instability of free interfaces in premixed flame propagation / Brauner, C. -M.; Lorenzi, L.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 14:2(2021), pp. 575-596. [10.3934/dcdss.2020363]
Instability of free interfaces in premixed flame propagation
Lorenzi L.
2021-01-01
Abstract
In this survey, we are interested in the instability of flame fronts regarded as free interfaces. We successively consider a classical Arrhenius kinetics (thin flame) and a stepwise ignition-tempera ture 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.File | Dimensione | Formato | |
---|---|---|---|
1937-1632_2021_2_575.pdf
solo utenti autorizzati
Tipologia:
Versione (PDF) editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
418.87 kB
Formato
Adobe PDF
|
418.87 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
4w_191209-Brauner-v100.pdf
Open Access dal 01/03/2022
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
491.85 kB
Formato
Adobe PDF
|
491.85 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.