|Non-equilibrium Dynamics and Random Matrices|
|Topic:||Landau damping: Gevrey regularity and paraproducts|
|Affiliation:||University of Cambridge|
|Date:||Wednesday, April 30|
|Time/Room:||11:00am - 12:00pm/S-101|
We present the key ideas of a new proof of Landau damping for the Vlasov-Poisson equation obtained in a joint work with Bedrossian and Masmoudi. This nonlinear transport equation is a fundamental model for describing self-interacting plasmas or galaxies, and Landau damping is a nonlinear stability mechanism based on phase mixing. The new method does not use a Newton scheme and seems to capture a critical Gevrey regularity for the damping. Moreover its greater flexibility should open the way to further work, and we will finish by sketching some open questions.