Space Propagation of Instabilities in Zakharov Equations
Langue
en
Article de revue
Ce document a été publié dans
Physica D: Nonlinear Phenomena. 2008, vol. 237, p. 1640--1654
Elsevier
Résumé en anglais
In this paper we study an initial boundary value problem for Zakharov's equations, describing the space propagation of a laser beam entering in a plasma. We prove a strong instability result and prove that the mathematical ...Lire la suite >
In this paper we study an initial boundary value problem for Zakharov's equations, describing the space propagation of a laser beam entering in a plasma. We prove a strong instability result and prove that the mathematical problem is ill-posed in Sobolev spaces. We also show that it is well posed in spaces of analytic functions. Several consequences for the physical consistency of the model are discussed.< Réduire
Mots clés en anglais
Zakharov equations
laser plasma interaction
instabilities
space propagation
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