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Relaxation without dissipation for plasmas and galactic dynamics

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If you have a question about this talk, please contact Prof. Mihalis Dafermos.

In this talk I shall give an introduction to recent work in collaboration with Cedric Villani. Landau damping was discovered by Landau in 1946 and is still one of the major mysteries in classical plasma physics. It roughly says that waves are damped in a collisionless plasma, due to purely hamiltonian effects. It seems also to be playing a key role in the surprisingly short-time scale of relaxation phenomena in galactic dynamics. We present a non-linear mathematical theory for this damping. Surprising features of this theory include links with KAM theory, a strong relation with the so-called “plasma echoes” phenomenon, and a critical role played by analytic regularity.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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