Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01706309
Contributor : Mihai Bostan <>
Submitted on : Sunday, February 11, 2018 - 11:07:40 AM
Last modification on : Thursday, January 23, 2020 - 6:22:13 PM
Long-term archiving on: : Monday, May 7, 2018 - 5:14:04 PM

File

main_EffVlaPoi3D.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01706309, version 1

Citation

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⟩

Share

Metrics

Record views

109

Files downloads

117