10 citations · 16 across the 9 of their papers we have counts for
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math.AP2016
Fractional diffusion limit of a linear kinetic equation in a bounded domain
Pedro Aceves-Sanchez, Christian Schmeiser
A version of fractional diffusion on bounded domains, subject to 'homogeneous Dirichlet boundary conditions' is derived from a kinetic transport model with homogeneous inflow bound…
math.AP2016
Fractional diffusion limit for a fractional Vlasov-Fokker-Planck equation
Pedro Aceves-Sanchez, Ludovic Cesbron
This paper is devoted to the rigorous derivation of the macroscopic limit of a Vlasov-Fokker-Planck equation in which the Laplacian is replaced by a fractional Laplacian. The evolu…
math.AP2016★ 2 cited
Asymptotic analysis of a Vlasov-Boltzmann equation with anomalous scaling
Pedro Aceves-Sanchez, Antoine Mellet
This paper is devoted to the approximation of the linear Boltzmann equation by fractional diffusion equations. Most existing results address this question when there is no external…