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SUMMARY:Scattering and Landau damping for the Vlasov-HMF model: mathematic
 al and numerical analysis - Erwan Faou (ENS Paris &amp\; INRIA)
DTSTART:20140213T150000Z
DTEND:20140213T160000Z
UID:TALK47759@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:We consider a simple Vlasov model (the Hamiltonian mean-field 
 model) and show some scattering results implying nonlinear Landau damping 
 phenomena for the solutions. The method is based on time iterations that c
 an be interpreted as normal form transformations. When the solution has So
 bolev regularity we obtain algebraic damping over very large but finite ti
 mes. In the analytic case\, we obtain exponential damping for all time by 
 KAM iterations. We will then consider discretizations of the dynamics by s
 emi-Lagrangian methods\, and discuss the ability of numerical schemes to r
 eproduce these phenomena. This is a joint work with Frédéric Rousset (Un
 iversity of Orsay)
LOCATION:MR 14\, CMS
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