Abstract: In this talk, I will present a recent result on the quasineutral limit for the relativistic Vlasov–Maxwell system, which is a fundamental model in plasma physics. The quasineutral limit corresponds to the regime where the Debye length, the typical scale of charge separation, becomes very small compared to the size of the plasma. In this regime, the plasma behaves as if it were electrically neutral. This limit has been well understood in the electrostatic case (the Vlasov-Poisson system), but the full electromagnetic setting brings new challenges. The coupling with Maxwell’s equations and the presence of a magnetic field create additional oscillations and make the analysis more delicate. I will explain how one can rigorously prove that, in this regime, solutions to the Vlasov–Maxwell system converge strongly to a limiting model known as electron magnetohydrodynamics (e-MHD). I will also describe precisely in what sense this convergence holds. This is joint work with M. Iacobelli, A. Rege, and S. Rossi.

Here is the Zoom link:

https://ethz.zoom.us/j/5704797608