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On the Boyd-Kadomstev System for a three-wave coupling problem and its asymptotic limit

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMETIVIER, Guy
hal.structure.identifierDAM Île-de-France [DAM/DIF]
dc.contributor.authorSENTIS, Remi
dc.date.accessioned2024-04-04T02:27:41Z
dc.date.available2024-04-04T02:27:41Z
dc.date.created2010-04-19
dc.date.issued2011
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190038
dc.descriptionA paraitre dans Comm. Math. Physics
dc.description.abstractEnWe consider the Boyd-Kadomstev system which is in particular a model for the Brillouin backscattering in laser-plasma interaction. It couples the propagation of two laser beams, the incoming and the backscattered waves, with an ion acoustic wave which propagates at a much slower speed. The ratio $\varepsilon$ between the plasma sound velocity and the (group) velocity of light is small, with typical value of order $10^{-3}$. In this paper, we make a rigorous analysis of the behavior of solutions as $\varepsilon$ goes to 0. This problem can be cast in the general framework of fast singular limits for hyperbolic systems. The main new point which is addressed in our analysis is that the singular relaxation term present in the equation is a nonlinear first order system.
dc.language.isoen
dc.subject.enFast singular Limit
dc.subject.enNonlinear Hyperbolic System
dc.subject.enThree-wave Coupling
dc.subject.enLaser-plasma Interaction
dc.subject.enBrillouin instability
dc.subject.enWeak Plasma Turbulence
dc.subject.enBoyd-Kadomstev System
dc.title.enOn the Boyd-Kadomstev System for a three-wave coupling problem and its asymptotic limit
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00547084
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00547084v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2011&rft.au=METIVIER,%20Guy&SENTIS,%20Remi&rft.genre=preprint


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