3 papers
math.AP2025
From relativistic Vlasov-Maxwell to electron-MHD in the quasineutral regime
Antoine Gagnebin, Mikaela Iacobelli, Alexandre Rege +1
We study the quasineutral limit for the relativistic Vlasov-Maxwell system in the framework of analytic regularity. Following the high regularity approach introduced by Grenier [44…
math.AP2024
On the stability of vacuum in the screened Vlasov-Poisson equation
Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer
We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on near vacuum. We show that for dimensions $d\geq…
math.AP2024
Scattering problem for Vlasov-type equations on the -dimensional torus with Gevrey data
Dario Benedetto, Emanuele Caglioti, Antoine Gagnebin +2
In this article, we consider Vlasov-type equations describing the evolution of single-species type plasmas, such as those composed of electrons (Vlasov-Poisson) or ions (screened V…