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UID:2555@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20181113T110000
DTEND;TZID=Europe/Paris:20181113T120000
DTSTAMP:20181029T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/fractional-diffusion-approximat
 ion-of-kinetic-equations-in-bounded-domains/
SUMMARY: (...): Fractional diffusion approximation of kinetic equations in 
 bounded domains. 
DESCRIPTION:: The central question of this talk is: how to confine a non-lo
 cal diffusion equation\, such as the fractional heat equation\, to a spati
 ally bounded domain ? The key idea behind the results I will present is to
  tackle this question from kinetic point of view. Indeed\, we can see the 
 fractional heat equation as a diffusion approximation of kinetic models\, 
 hence to derive a confined non-local diffusion equation we investigate the
  fractional diffusion limit of kinetic equations set in spatially bounded 
 domains. We will see\, in particular\, that the non-local framework is muc
 h more sensitive to the kinetic boundary conditions than the classical fra
 mework.http://ludoviccesbron.wordpress.com
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20181028T020000
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