SFU Mathematics of Computation, Application and Data ("MOCAD") Seminar: Chiara Saffirio

The Vlasov-Poisson system is a non-linear PDE describing the mean-field time-evolution of particles forming a plasma or a galaxy. In this talk I will present uniqueness criteria for the Vlasov-Poisson equation in the classical and semi-relativistic setting, emerging as corollaries of stability estimates in strong (L^p) topologies or in weak topologies (induced by Wasserstein distances), and show how they serve as a guideline to solve semiclassical problems. Different topologies will allow us to treat different classes of quantum states.