The finite Larmor radius regime for the Vlasov-Poisson equations. The three dimensional setting with non uniform magnetic field - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

The finite Larmor radius regime for the Vlasov-Poisson equations. The three dimensional setting with non uniform magnetic field

Abstract

The subject matter of this paper concerns the mathematical analysis of toka-mak plasmas. We focus on the finite Larmor radius regime with general magnetic shapes. We concentrate on the asymptotic analysis for the Vlasov-Poisson equations under strong external magnetic fields, by averaging with respect to the fast cyclotronic motion around the magnetic lines. The main properties of the limit model are emphasized : mass and energy balances, Hamiltonian structure.
Fichier principal
Vignette du fichier
main_EffVlaPoi3D.pdf (313.68 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01706309 , version 1 (11-02-2018)

Identifiers

  • HAL Id : hal-01706309 , version 1

Cite

Mihai Bostan, Aurélie Finot. The finite Larmor radius regime for the Vlasov-Poisson equations. The three dimensional setting with non uniform magnetic field. 2018. ⟨hal-01706309⟩
79 View
100 Download

Share

Gmail Facebook Twitter LinkedIn More