Abstract
In this talk we will present two kinetic models that are used to describe the evolution of charged particles in plasmas: the Vlasov-Poisson system (VP) and the Vlasov-Poisson system with massless electrons (VPME). These systems model respectively the evolution of electrons, and ions in a plasma. We will discuss the well-posedness of these systems, the stability of solutions, and their behaviour under singular limits.
Finally, we will introduce a new class of Wasserstein-type distances specifically designed to tackle stability questions for kinetic equations.