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Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order

hal.structure.identifierKent State University
dc.contributor.authorMATSON, Amanda
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRAUNER, Claude-Michel
hal.structure.identifierKent State University
dc.contributor.authorGORDON, Peter
dc.date.accessioned2024-04-04T02:34:27Z
dc.date.available2024-04-04T02:34:27Z
dc.date.created2023-05-03
dc.date.issued2023-11-15
dc.identifier.issn0167-2789
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190553
dc.description.abstractEnIn this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It was shown in [3] that this system admits a traveling front solution. In the present work, we show that this traveling front is unique up to translations. We also study some qualitative properties of this solution using the combination of formal asymptotics and numerics. Our findings allow conjecture that the velocity of the propagation of the flame front is a decreasing function of all of the parameters of the problem: ignition temperature, reaction order and an inverse of the Lewis number.
dc.language.isoen
dc.publisherElsevier
dc.rights.urihttp://creativecommons.org/licenses/by/
dc.subject.enReaction-diffusion systems
dc.subject.entraveling front solution
dc.subject.enuniqueness of solution
dc.title.enUniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order
dc.typeArticle de revue
dc.identifier.doi10.1016/j.physd.2023.133859
dc.subject.halMathématiques [math]
bordeaux.journalPhysica D: Nonlinear Phenomena
bordeaux.page133859
bordeaux.volume454
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-04089767
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04089767v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physica%20D:%20Nonlinear%20Phenomena&rft.date=2023-11-15&rft.volume=454&rft.spage=133859&rft.epage=133859&rft.eissn=0167-2789&rft.issn=0167-2789&rft.au=MATSON,%20Amanda&BRAUNER,%20Claude-Michel&GORDON,%20Peter&rft.genre=article


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