Modul: MAT675 PDE and Mathematical Physics

## Fractional diffusion approximation for 1d Fokker Planck equation.

Prof. Dr. Marjolaine Puel talk

**Date:** 11.03.21 **Time:** 18.00 - 19.00 **Room:** Y27H28

Diffusion approximation is a well known process to approximate kinetic equations by macroscopic equations in order for examples to reduce the number of variables for numerical purpose. The goal of this talk is to give a overview of the recent progresses in diffusion approximation and to focus on the special case of the Fokker Planck equation with heavy tail equilibrium that model the cooling of atoms. In this particular case, the difficulty is due to the absence of a spectral gap for the collision operator. I’ll present a joint work with Gilles Lebeau that cover the 1 dimensional case and discuss an extension of this method in the dimension d case.