The three-dimensional finite Larmor radius approximation

Article type: Research Article

Authors: Han-Kwan, Daniel

Affiliations: Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France. Tel.: +33 1 44 32 20 65, Fax: +33 1 44 32 20 80, E-mail: [email protected]

Abstract: Following Frénod and Sonnendrücker [SIAM J. Math. Anal. 32(6) (2001) 1227–1247], we consider the finite Larmor radius regime for a plasma submitted to a large magnetic field and take into account both the quasineutrality and the local thermodynamic equilibrium of the electrons. We then rigorously establish the asymptotic gyrokinetic limit of the rescaled and modified Vlasov–Poisson system in a three-dimensional setting with the help of an averaging lemma.

Keywords: gyrokinetic approximation, Vlasov–Poisson equation, finite Larmor radius scaling, averaging lemma

DOI: 10.3233/ASY-2009-0955

Journal: Asymptotic Analysis, vol. 66, no. 1, pp. 9-33, 2010