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SUMMARY:Quantitative Fluid Approximation for Heavy Tailed Kinetic Equation
s with Several Invariants
DTSTART:20231012T130000Z
DTEND:20231012T133000Z
DTSTAMP:20240917T045900Z
UID:indico-event-10684@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Laura Kanzler (Université Paris-Dauphine)\n\nIn rec
ent works it has been demonstrated that using an appropriate rescaling\, l
inear kinetic equations with heavy tailed equilibria give rise to a scalar
fractional diffusion equation. In this talk an extension of this is prese
nted\, where the linear kinetic equations under consideration\, not only c
onserves mass\, but also momentum and energy. In the limit\, fractional di
ffusion equations are obtained for the energy and the mass\, while the equ
ation for the momentum is trivial. The methods of proof presented rely on
spectral analysis combined with energy estimates. It is constructive and p
rovides explicit convergence rates. This is work in progress together with
É. Bouin and C. Mouhot.\n\nhttps://indico.math.cnrs.fr/event/10684/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/10684/
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