Asymptotic behaviour of the Landau equation with Coulomb potential

Abstract

This is the written version of a talk given at the Journées Équations aux Dérivées Partielles 2016 at Roscoff. We present in this note recent results on the asymptotic behaviour of the Landau equation with Coulomb potential, in both spatially homogeneous and inhomogeneous cases. These results have been obtained in joint works with L. Desvillettes and L. He in [6], and with S. Mischler in [7].