Anomalous Diffusion limit of a fractional kinetic Fokker-Planck equation in a bounded domain with specular reflection on the boundary

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• Ludovic Cesbron (DPMMS)
• Wednesday 28 January 2015, 16:00-17:00
• MR14, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Davide Piazzoli.

We investigate the long time/small mean-free-path asymptotic behaviour of the solutions of a fractional kinetic Fokker Planck equation—more precisely a Vlasov-type equation with a Lévy-Fokker-Planck collision operator—in super-critical settings on a smooth, strongly convex domain. On the boundary of this domain we consider specular reflections and we will show how this boundary condition will affect the asymptotic dynamics.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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