25 citations · 25 across the 4 of their papers we have counts for
17 papers · 1 filter
Quasineutral Plasmas and the Geometry of Kinetic Stability
Mikaela Iacobelli
This article presents an overview of quasineutral limits in plasma models. Starting from the Vlasov-Poisson system, it explains the role of the Debye length, the emergence of a kin…
Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields
Immanuel Ben Porat, Antoine Gagnebin, Mikaela Iacobelli +1
We prove that polynomial velocity moments of solutions to the 2D magnetized Vlasov-Poisson system and the 3D magnetized screened Vlasov-Poisson equation remain finite for all times…
Exponential convergence for ultrafast diffusion equations with log-concave weights
Max Fathi, Mikaela Iacobelli
We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log-concave and log-lipschitz weight, and prove exponential convergence to equilibri…
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…
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…
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…