Universität Augsburg

Professorin Dr. Mikaela Iacobelli
ETH Zürich
spricht am
Donnerstag, 12. Dezember 2019
um
15:45 Uhr
im
TUM, Boltzmann3, Garching, Raum 03.08.011, Etage 3
über das Thema:
Abstract: 
The VlasovPoisson system with massless electrons (VPME) is widely used in plasma physics to model the evolution of ions in a plasma. It differs from the classical VlasovPoisson system (VP) in that the Poisson coupling has an exponential nonlinearity that creates several mathematical difficulties. We will discuss a recent result proving uniqueness for VPME in the class of solutions with bounded density, and global existence of solutions with bounded density for a general class of initial data, generalising to this setting all the previous results known for VP. Moreover we will talk about a mean field derivation of the VPME and a rigorous quasi neutral limit for initial data that are close to analytic data deriving the Kinetic Isothermal Euler (KIE) system from the VPME in dimensions d=1,2,3. Lastly, we combine these two singular limits in order to show how to obtain the KIE system from an underlying particle system. 
Hierzu ergeht herzliche Einladung. 