The Riemann problem for Kerr equations and non-uniqueness of selfsimilar entropy solutions
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | AREGBA-DRIOLLET, Denise | |
dc.contributor.editor | Fabio Ancona | |
dc.contributor.editor | Alberto Bressan | |
dc.contributor.editor | Pierangelo Marcati | |
dc.contributor.editor | Andrea Marson | |
dc.date.accessioned | 2024-04-04T02:19:01Z | |
dc.date.available | 2024-04-04T02:19:01Z | |
dc.date.created | 2012 | |
dc.date.issued | 2014 | |
dc.date.conference | 2012 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189368 | |
dc.description.abstractEn | We 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.iso | en | |
dc.publisher | American Institute of Mathematical Sciences | |
dc.source.title | Hyperbolic Problems: Theory, Numerics, Applications | |
dc.title | The Riemann problem for Kerr equations and non-uniqueness of selfsimilar entropy solutions | |
dc.type | Communication dans un congrès | |
dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
bordeaux.journal | AIMS series in Applied Mathematics | |
bordeaux.page | 269-276 | |
bordeaux.volume | 8 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.conference.title | HYP2012 Padova | |
bordeaux.country | IT | |
bordeaux.title.proceeding | Hyperbolic Problems: Theory, Numerics, Applications | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00959555 | |
hal.version | 1 | |
hal.invited | non | |
hal.proceedings | oui | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00959555v1 | |
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