Speaker
Mikaela Iacobelli
(ETHZ)
Description
In this colloquium we will present two kinetic models that are
used to describe the evolution of charged particles in plasmas: the
Vlasov-Poisson system and the Vlasov-Poisson system with massless
electrons. 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.