3 papers
math.AP2021
Fractional Diffusion limit of a kinetic equation with Diffusive boundary conditions in a bounded interval
Ludovic Cesbron, Antoine Mellet, Marjolaine Puel
We investigate the fractional diffusion approximation of a kinetic equation set in a bounded interval with diffusive reflection conditions at the boundary. In an appropriate singul…
math.AP2018
Fractional Diffusion limit of a kinetic equation with Diffusive boundary conditions in the upper-half space
Ludovic Cesbron, Antoine Mellet, Marjolaine Puel
We investigate the fractional diffusion approximation of a kinetic equation in the upper-half plane with diffusive reflection conditions at the boundary. In an appropriate singular…
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…