Introduction to the stochastic Zakharov system

Nom de l'orateur
Grégoire Barrué
Etablissement de l'orateur
IRMAR, université de Rennes 1
Date et heure de l'exposé
Lieu de l'exposé

The Zakarov system is a simplified model for the description of long-wavelength small-amplitude Langmuir oscillation in a ionized plasma. Langmuir waves are rapid oscillations of the electron density. In our case we study a stochastic version of the Sakharov system, which means a Zakharov system perturbed by a sochastic noise. In this talk, I will try to explain the general study plan for a Partial Differential Equation (PDE), then I will introduce some stochastic tools to show how it is possible to gather deterministic and stochastic theories to solve our problem.