Quasineutral limit for the relativistic Vlasov--Maxwell system

Vortrag von Dr. Stefano Rossi

Datum: 30.10.25  Zeit: 16.00 - 17.00  Raum: ETH HG G 19.2

I will present a recent result concerning the quasineutral limit for the relativistic Vlasov--Maxwell system, a fundamental model in plasma physics. The quasineutral limit describes the regime in which the Debye length — the characteristic scale of charge separation — becomes negligible compared to the macroscopic scale of the plasma, so that the plasma behaves as if it were electrically neutral. While this singular limit has been extensively studied in the electrostatic case (i.e., the Vlasov--Poisson system), the full electromagnetic setting introduces new difficulties due to the coupling with Maxwell’s equations and the presence of a magnetic field, which give rise to additional oscillatory phenomena. I will explain how, in this context, one can rigorously establish strong convergence to a limiting electron magnetohydrodynamics (e-MHD) system, and clarify the precise sense in which this limit holds. This is based on a joint work with A. Gagnebin, M. Iacobelli, and A. Rege.