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Instabilities in Zakharov equations for laser propagation in a plasma

Instabilities in Zakharov equations for laser propagation in a plasma

In [LPS], F. Linares, G. Ponce and 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 …