In this paper, we study a Zakharov system coupled to an electron diffusion equation in order to describe laser-plasma interactions. Starting from the Vlasov-Maxwell system, we derive a nonlinear Schrödinger like system which takes into account the energy exchanged between the plasma waves and the electrons via Landau damping. Two existence theorems are established in a subsonic regime. Using a time-splitting, spectral discretizations for the Zakharov system and a finite difference scheme for the...
Le but de cet article est de donner un sens au modèle mathématique décrivant l’amortissement Landau des ondes Langmuir en Physique des plasmas. L’originalité de ce modèle est la présence d’un couplage nonlinéaire entre le champ électrique, fonction de la position spatiale, et la distribution électronique des électrons en fonction de la fréquence. Ce couplage spatio-fréquentiel ainsi que les termes nonlinéaires obligent à considérer le problème simultanément en variable spatiale et fréquentielle...
In this paper, we study a Zakharov system coupled to an electron
diffusion equation in order to describe laser-plasma interactions. Starting from
the Vlasov-Maxwell system, we derive a nonlinear Schrödinger
like system which takes into account the energy exchanged between the plasma waves and the electrons
Landau damping. Two existence theorems are established in a subsonic regime.
Using a time-splitting, spectral discretizations for the Zakharov system and a
finite difference scheme for...
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