# Agenda

# Wednesday 1 April 2020

### ANNULÉ-(reporté à une date à établir) Landau damping in dynamical Lorentz gases

#### Leo Vivion (Université de Nice)

In 2001 L. Bruneau and S. De Bièvre introduced an original

model describing the interaction between a classical particle and an

oscillating media. For this model they showed (under some conditions)

that the media acts on the particle like a friction force. Here, I will

present results about the Vlasov-Wave equation: the kinetic equation

coming from their model.

Since in 2016 S. De bièvre, T. Goudon and A. Vavasseur showed that,

under an appropriate scaling, the Vlasov-Wave equation is asymptotic to

the attractive Vlasov-Poisson equation, it is natural to ask the

question of the Landau damping for this model. First, I will recall the

mechanisms of the Landau damping for the classical Vlasov equation and

then I will explain how these mechanisms are modified in the Vlasov-Wave

case. All these results will be illustrated by numerical simulations.