Special Session 1: Mathematical aspects of fluid dynamics
Contents
We consider the spatially homogeneous Boltzmann equation without the angular cutoff in the case of variable hard potentials and provide a new proof of the generation of exponential moments of order up to the rate of potentials. We also investigate a behavior of exponential moments of order beyond the rate of
potentials and for that purpose we introduce Mittag-Leffler moments (which can be understood as a generalization of the exponential moments) and prove their propagation. The talk is based on a recent joint work with Irene Gamba and Maja Taskovic.