4 papers
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…
Stability estimates for magnetized Vlasov equations
Alexandre Rege
We present two results related to magnetized Vlasov equations. Our first contribution concerns the stability of solutions to the magnetized Vlasov-Poisson system with a non-uniform…
Stability Estimates in Kinetic Wasserstein Distances for the Vlasov-Poisson System with Yudovich Density
Jonathan Junné, Alexandre Rege
We investigate the stability of solutions to the Vlasov-Poisson system using the unifying framework of the kinetic Wasserstein distance, introduced by Iacobelli in (Section 4 in Ar…
Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system
Immanuel Ben Porat, Mikaela Iacobelli, Alexandre Rege
We derive the two dimensional incompressible Euler equation as a quasineutral limit of the Vlasov-Poisson equation using a modulated energy approach. We propose a strategy which en…