### SEMINAIRE D'ANALYSE NUMERIQUE

Année universitaire 2013-2014

Jeudi 17 octobre 2013 :
Philippe HELLUY
(IRMA, Université de Strasbourg)

Reduced hyperbolic approximations of plasma models.

We construct an hyperbolic approximation of the Vlasov equation in which the dependency on the velocity variable is removed. The resulting model enjoys interesting conservation and entropy properties. It can be numerically solved by standard schemes for hyperbolic systems. We present numerical results for one-dimensional classical test cases in plasma physics: Landau damping, two-stream instability.