On the gyrokinetic limit for the two-dimensional Vlasov-Poisson system

Abstract

We investigate the gyrokinetic limit for the Vlasov-Poisson system in two dimensions, in the regime studied by Golse and Saint-Raymond. We present another proof of convergence to the Euler equation under several assumptions on the energy and on the $L^{\infty }$ norms of the initial data.

References in corpus (3)

• Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
• Lagrangian solutions to the Vlasov-Poisson system with L^1 density
• The effective Vlasov-Poisson system for strongly magnetized plasmas

Cited by in corpus (3)

• Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations
• Long time behavior for collisional strongly magnetized plasma in three space dimensions
• Asymptotically preserving particle-in-cell methods for inhomogenous strongly magnetized plasmas