We study in a strip of R2 a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respectively the ignition and the trailing fronts. The latter interface presents an additional difficulty because the non-degeneracy condition is not met. We turn the system to a fully nonlinear problem which is thoroughly investigated. When the width ℓ of the strip is sufficiently large, we prove the existence of a critical value Lec of the Lewis number Le, such that the one-dimensional, planar, solution is unstable for 0
Instabilities in a combustion model with two free interfaces / Addona, D.; Brauner, C. -M.; Lorenzi, L.; Zhang, W.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 268:7(2020), pp. 3962-4016. [10.1016/j.jde.2019.10.015]
Instabilities in a combustion model with two free interfaces
Addona D.;Lorenzi L.;Zhang W.
2020-01-01
Abstract
We study in a strip of R2 a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respectively the ignition and the trailing fronts. The latter interface presents an additional difficulty because the non-degeneracy condition is not met. We turn the system to a fully nonlinear problem which is thoroughly investigated. When the width ℓ of the strip is sufficiently large, we prove the existence of a critical value Lec of the Lewis number Le, such that the one-dimensional, planar, solution is unstable for 0| File | Dimensione | Formato | |
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