Instabilities in Zakharov Equations for Laser Propagation in a Plasma
Langue
en
Communication dans un congrès
Ce document a été publié dans
Phase Space Analysis of Partial Differential Equations, Phase Space Analysis of Partial Differential Equations, Instabilities in Zakharov Equations for Laser Propagation in a Plasma, 2006, Pienza. 2006p. pp 63--81
Birkhäuser
Résumé en anglais
F.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 ...Lire la suite >
F.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.< Réduire
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