Localisation

Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Fractional diffusion approximation of kinetic equations in bounded domains.




Date(s) : 13/11/2018   iCal
11h00 - 12h00

The central question of this talk is: how to confine a non-local diffusion equation, such as the fractional heat equation, to a spatially 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 much more sensitive to the kinetic boundary conditions than the classical framework.

http://ludoviccesbron.wordpress.com

Catégories


Secured By miniOrange