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On a strongly damped wave equation for the flame front

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierXiamen University
dc.contributor.authorBRAUNER, Claude-Michel
hal.structure.identifierDipartimento di Matematica
dc.contributor.authorLORENZI, Luca
hal.structure.identifierSchool of Mathematical Sciences
dc.contributor.authorSIVASHINSKY, Gregory I.
hal.structure.identifierXiamen University
dc.contributor.authorXU, Chuanju
dc.date.accessioned2024-04-04T03:15:45Z
dc.date.available2024-04-04T03:15:45Z
dc.date.created2010-06
dc.date.issued2010-11
dc.identifier.issn0252-9599
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194167
dc.description.abstractEnIn two-dimensional free-interface problems, the front dynamics can be modeled by single parabolic equations such as the Kuramoto-Sivashinsky equation (K-S). However, away from the stability threshold, the structure of the front equation may be more involved. In this paper, a generalized K-S equation, a nonlinear wave equation with a strong damping operator, is considered. As a consequence, the associated semigroup turns out to be analytic. Asymptotic convergence to K-S is shown, while numerical results illustrate the dynamics.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enFront dynamics
dc.subject.enWave equation
dc.subject.enKuramoto-Sivashinsky equation
dc.subject.enStability
dc.subject.enAnalytic semigroups
dc.subject.enSpectral method
dc.title.enOn a strongly damped wave equation for the flame front
dc.typeArticle de revue
dc.identifier.doi10.1007/s11401-010-0616-1
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halScience non linéaire [physics]
bordeaux.journalChinese Annals of Mathematics - Series B
bordeaux.page22
bordeaux.volume31
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01261852
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01261852v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Chinese%20Annals%20of%20Mathematics%20-%20Series%20B&rft.date=2010-11&rft.volume=31&rft.issue=6&rft.spage=22&rft.epage=22&rft.eissn=0252-9599&rft.issn=0252-9599&rft.au=BRAUNER,%20Claude-Michel&LORENZI,%20Luca&SIVASHINSKY,%20Gregory%20I.&XU,%20Chuanju&rft.genre=article


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