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Fractional diffusion limits for Vlasov-Lévy-Fokker-Planck equations

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We investigate the long time/small mean-free-path asymptotic behaviour of the solutions of a kinetic collisional equation with a Lévy-Fokker-Planck operator. We will show through two methods that this equation 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 attached to this case and might thus be more adaptable to similar cases.

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

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