We derive $ C^\infty $ a priori estimates for solutions of the inhomogeneous Boltzmann
equation without cut-off, conditional to pointwise bounds on their mass, energy and entropy …

This paper is devoted to kinetic equations without confinement. We investigate the large time
behaviour induced by collision operators with fat tailed local equilibria. Such operators have …

In this paper, we introduce and analyse numerical schemes for the homogeneous and the
kinetic Lévy-Fokker-Planck equation. The discretizations are designed to preserve the main …

We establish exponential ergodicity for the stochastic Hamiltonian system (X t, V t) t≥ 0 on R
2 d with Lévy noises d X t=(a X t+ b V t) dt, d V t= U (X t, V t) d t+ d L t, where a≥ 0, b> 0, U: R …

In this paper, we deal with the semigroup decay for the linearized kinetic ellipsoidal Fokker-
Planck equation in the torus. This model is an extension of the nonlinear kinetic Fokker …

The works presented in this memoir are about various equations of kinetic theory
(Boltzmann, Landau, Fokker-Planck) and are structured around two main axes:-develop a …