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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRAUNER, Claude-Michel
hal.structure.identifierDipartimento di Matematica
hal.structure.identifierUniversità degli studi di Parma = University of Parma [UNIPR]
dc.contributor.authorLORENZI, Luca
dc.date2020
dc.date.accessioned2024-04-04T02:55:35Z
dc.date.available2024-04-04T02:55:35Z
dc.date.issued2020
dc.identifier.issn1937-1632
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192378
dc.description.abstractEnIn 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.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.title.enINSTABILITY OF FREE INTERFACES IN PREMIXED FLAME PROPAGATION
dc.typeArticle de revue
dc.identifier.doi10.3934/dcdss.2020363
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalDiscrete and Continuous Dynamical Systems - Series S
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02504592
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02504592v1
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