Grégoire Barrué (IRMAR): « Introduction to the Stochastic Sakharov system »
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 Zakharov 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 Equations (PDE), then I will introduce some stochastic tools to show how it is possible to gather deterministic and stochastic theories to solve our problem.