10 citations · 20 across the 7 of their papers we have counts for
7 papers
Construction of an eigen-solution for the Fokker-Planck operator with heavy tail equilibrium: an `a la Koch method in dimension 1
Dahmane Dechicha, Marjolaine Puel
This paper is devoted to the construction of an \emph{eigen-solution} for the Fokker-Planck operator with heavy tail equilibrium. We propose an \textit{alternative} method in dimen…
Fractional diffusion for Fokker-Planck equation with heavy tail equilibrium: an à la Koch spectral method in any dimension
Dahmane Dechicha, Marjolaine Puel
In this paper, we extend the spectral method developed [Dechicha and Puel, 2023] to any dimension , in order to construct an eigen-solution for the Fokker-Planck oper…
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…
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…
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…
Global weak solutions to the inviscid 3D Quasi-Geostrophic equation
Marjolaine Puel, Alexis F. Vasseur
In this article, the authors prove the existence of global weak solutions to the inviscid three-dimensional quasi-geostrophic equation. This equation models the evolution of the te…
A corrector theory for diffusion-homogenization limits of linear transport equations
Guillaume Bal, Naoufel Ben Abdallah, Marjolaine Puel
This paper concerns the diffusion-homogenization of transport equations when both the adimensionalized scale of the heterogeneities and the adimensionalized mean-free path $\ep…