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| HAL : hal-00346869, version 4 |
| arXiv : 0812.2528 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (13-12-2008) | v2 (23-03-2009) | v3 (12-05-2009) | v4 (10-02-2010) |
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| The three-dimensional Finite Larmor Radius Approximation |
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| Daniel Han-Kwan 1 |
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| (12/12/2008) |
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| 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. |
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| 1 : | Département de Mathématiques et Applications (DMA) |
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CNRS : UMR8553 – Ecole Normale Supérieure de Paris - ENS Paris |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| gyrokinetic approximation – averaging lemma – finite larmor radius approximation – iter |
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| hal-00346869, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00346869 | |
| oai:hal.archives-ouvertes.fr:hal-00346869 | |
| Contributeur : Daniel Han-Kwan | |
| Soumis le : Mercredi 10 Février 2010, 10:50:02 | |
| Dernière modification le : Mercredi 10 Février 2010, 10:58:13 | |
