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SUMMARY:Fractional diffusion limits for Vlasov-Lévy-Fokker-Planck equatio
 ns - Ludovic Cesbron\, Ecole Normale Superieure de Cachan
DTSTART:20130206T160000Z
DTEND:20130206T170000Z
UID:TALK43076@talks.cam.ac.uk
CONTACT:Luca Calatroni
DESCRIPTION:We investigate the long time/small mean-free-path asymptotic b
 ehaviour of the solutions of a kinetic collisional equation with a Lévy-F
 okker-Planck\noperator. We will show through two methods that this equatio
 n converges to a fractional diffusion equation. The first method uses the 
 particular structure of this equation and the second method means to be a 
 little less\nattached to this case and might thus be more adaptable to sim
 ilar cases.
LOCATION:MR14\, Centre for Mathematical Sciences
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