“Challenges and Breakthroughs in the Mathematics of Plasmas”
Venerdì 24 Aprile 2026, ore 13:30 - Aula 2BC60 - Mikaela Iacobelli (ETH Zürich)
Abstract
In this talk I will present some recent advances in the mathematics of collisionless plasmas. After a general introduction to the theory of Vlasov-type equations, I will discuss questions of well-posedness, stability, and singular limits.
I will present almost-optimal stability for the quasineutral limit for the Vlasov-Poisson and Vlasov-Poisson with massless electrons. Finally, for magnetized plasmas, I will describe a new result on the quasineutral limit from the relativistic Vlasov-Maxwell system to electron-MHD in an analytic-regularity setting. Here the analysis provides estimates uniform in the quasineutral parameter and strong (filtered) convergence to the limiting dynamics.
