Instabilities in Zakharov Equations for Laser Propagation in a Plasma

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dc.creatorColin, Thierry
dc.creatorMetivier, Guy
dc.date2006-11-15
dc.date.accessioned2026-07-07T08:48:40Z
dc.date.available2026-07-07T08:48:40Z
dc.descriptionF.Linares, G.Ponce, J-C.Saut have proved that a non-fully dispersive Zakharov system arising in the study of Laser-plasma interaction, is locally well posed in the whole space, for fields vanishing at infinity. Here we show that in the periodic case, seen as a model for fields non-vanishing at infinity, the system develops strong instabilities of Hadamard's type, implying that the Cauchy problem is strongly ill-posed.
dc.identifierhttps://arxiv.org/abs/math/0611461
dc.identifierhttp://arxiv.org/abs/math/0611461
dc.identifierDans Phase Space Analysis of Partial Differential Equations - Instabilities in Zakharov Equations for Laser Propagation in a Plasma, Pienza : Italie (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144029
dc.subjectAnalysis of PDEs
dc.titleInstabilities in Zakharov Equations for Laser Propagation in a Plasma
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