The three-dimensional Finite Larmor Radius Approximation

Daniel Han-Kwan (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

Following Frénod and Sonnendrücker, 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.

Mots clés: gyrokinetic approximation; averaging lemma; finite larmor radius approximation; iter

Domaines: Equations aux dérivées partielles [math.AP]

Daniel Han-Kwan. The three-dimensional Finite Larmor Radius Approximation. 2008. ⟨hal-00346869v3⟩