Séminaire OrléansHypocoercivty in cascade and application to linearized Boltzmann type equations with external potentials
Frédéric Hérau (Nantes)
Thursday 07 November 2019 14:00 - Orléans - Salle de Séminaires
In this talk we present very recent results on the return to the equilibrium for inhomogeneous linearized kinetic equations when the collision kernel has 5 conserved moments (mass momentum and energy), in the case when there is an external potential acting on the system of particles. We will present the precise long time behavior of the solution, for which we exhibit and use a cascade of hypocoercive and damping effects. We shall try to explain the general scheme of the proof and the main mathematical and physical ideas behind.
This is a joint work with K. Carrapatoso, J. Dolbeault, S. Mischler, C. Schmeiser and C. Mouhot.