activity
20202025
most citedThe Magnetized Vlasov-Ampère system and the Bernstein-Landau paradox

6 citations · 8 across the 7 of their papers we have counts for

collaborators

7 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.AP2025

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…

math.AP2024

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…

math.AP2024★ 2 cited

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…

math.AP2022

Propagation of velocity moments and uniqueness for the magnetized Vlasov-Poisson system

Alexandre Rege

We present two results regarding the three-dimensional Vlasov--Poisson system in the full space with an external magnetic field. First, we investigate the propagation of velocity m…

math.AP2020

The Vlasov-Poisson system with a uniform magnetic field: propagation of moments and regularity

Alexandre Rege

We show propagation of moments in velocity for the 3-dimensional Vlasov-Poisson system with a uniform magnetic field by adapting the work of Lions, Perthame. The ad…

physics.plasm-ph2020★ 6 cited

The Magnetized Vlasov-Ampère system and the Bernstein-Landau paradox

Frédérique Charles, Bruno Després, Alexandre Rege +1

We study the Bernstein-Landau paradox in the collisionless motion of an electrostatic plasma in the presence of a constant external magnetic field. The Bernstein-Landau paradox con…