The 3D 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 its quasineutrality. We then rigorously establish the asymptotic gyrokinetic limit of the rescaled Vlasov-Poisson system in a 3D setting with the help of an averaging lemma.

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

Domaines: Equations aux dérivées partielles [math.AP]

Daniel Han-Kwan. The 3D Finite Larmor Radius Approximation. 2008. ⟨hal-00346869v1⟩