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…