Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Plasma Physics
Volume 56, Number 16
Monday–Friday, November 14–18, 2011; Salt Lake City, Utah
Session QT3: Fields Medalist Tutorial: Landau Damping |
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Chair: William Dorland, University of Maryland, College Park Room: Ballroom AC |
Wednesday, November 16, 2011 4:00PM - 5:00PM |
QT3.00001: Landau damping Invited Speaker: The classical theory of Landau damping rests on linearization near a spatially homogeneous equilibrium distribution, but it was noted by Backus half a century ago that the use of linearization to predict the long-time behavior of the Vlasov-Poisson equation seems inconsistent. Together with Clement Mouhot, we solve this problem, showing that Landau damping does occur for the nonlinear Vlasov-Poisson equation starting very close to equilibrium, even beyond the linearization time scale. A key ingredient is that the delay associated with self-induced nonlinear echoes has a stabilizing effect; we also point out the analogy with K-A-M theory and the driving role of smoothness. [Preview Abstract] |
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