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.AP2017
Diffusion approximation for Fokker Planck with heavy tail equilibria : a spectral method in dimension 1
Gilles Lebeau, Marjolaine Puel
This paper is devoted to the diffusion approximation for the 1-d Fokker Planck equation with a heavy tail equilibria of the form (1+v^2)^{-β/2}, in the range beta\in ]1,5[. We prov…