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.
| Original language | English |
|---|---|
| Pages (from-to) | 9-33 |
| Number of pages | 25 |
| Journal | Asymptotic Analysis |
| Volume | 66 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
Keywords
- Averaging lemma
- Finite Larmor radius scaling
- Gyrokinetic approximation
- Vlasov-Poisson equation
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