Instabilities in Zakharov Equations for Laser Propagation in a Plasma
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en
Communication dans un congrès
Este ítem está publicado en
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
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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