### On Landau Damping

- Series
- PDE Seminar
- Time
- Tuesday, April 6, 2010 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Clement Mouhot – Ecole Normale Superieure

Landau damping is a collisionless stability result of considerable
importance in plasma physics, as well as in galactic dynamics.
Roughly speaking, it says that spatial waves are damped in time
(very rapidly) by purely conservative mechanisms, on a time scale
much lower than the effect of collisions.
We shall present in this talk a recent work (joint with C. Villani) which
provides the first positive mathematical result for this effect in the
nonlinear regime, and qualitatively explains its robustness over
extremely long time scales. Physical introduction and implications
will also be discussed.