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The Riemann problem for Kerr equations and non-uniqueness of selfsimilar entropy solutions

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAREGBA-DRIOLLET, Denise
dc.contributor.editorFabio Ancona
dc.contributor.editorAlberto Bressan
dc.contributor.editorPierangelo Marcati
dc.contributor.editorAndrea Marson
dc.date.accessioned2024-04-04T02:19:01Z
dc.date.available2024-04-04T02:19:01Z
dc.date.created2012
dc.date.issued2014
dc.date.conference2012
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189368
dc.description.abstractEnWe solve the Riemann problem for a nonlinear full wave Maxwell system arising in nonlinear optics. This system is hyperbolic, some eigenvalues have non-constant multiplicity and are neither genuinely nonlinear, nor linearly degenerate. In a particular 2x2 reduced case, we are able to exhibit two distinct selfsimilar entropy solutions. We compute the amounts of entropy dissipation and compare them.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.source.titleHyperbolic Problems: Theory, Numerics, Applications
dc.titleThe Riemann problem for Kerr equations and non-uniqueness of selfsimilar entropy solutions
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalAIMS series in Applied Mathematics
bordeaux.page269-276
bordeaux.volume8
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleHYP2012 Padova
bordeaux.countryIT
bordeaux.title.proceedingHyperbolic Problems: Theory, Numerics, Applications
bordeaux.peerReviewedoui
hal.identifierhal-00959555
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00959555v1
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