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| HAL : hal-00425375, version 3 |
| arXiv : 0910.4226 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (22-10-2009) | v2 (22-10-2009) | v3 (19-07-2010) |
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| On the confinement of a tokamak plasma |
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| Daniel Han-Kwan 1 |
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| (21/10/2009) |
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| The goal of this paper is to understand from a mathematical point of view the magnetic confinement of plasmas for fusion. Following Frénod and Sonnendrücker \cite{FS2}, we first use two-scale convergence tools to derive a gyrokinetic system for a plasma submitted to a large magnetic field with a slowly spatially varying intensity. We formally derive from this system a simplified bi-temperature fluid system. We then investigate the behaviour of the plasma in such a regime and we prove nonlinear stability or instability depending on which side of the tokamak we are looking at. In our analysis, we will also point out that there exists a temperature gradient threshold beyond which one can expect stability, even in the ``bad'' side : this corresponds to the so-called H-mode. |
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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 Physique/Physique/Physique des plasmas |
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| magnetic confinement fusion – hydrodynamic stability and instability |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00425375, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00425375 | |
| oai:hal.archives-ouvertes.fr:hal-00425375 | |
| Contributeur : Daniel Han-Kwan | |
| Soumis le : Lundi 19 Juillet 2010, 16:14:07 | |
| Dernière modification le : Lundi 19 Juillet 2010, 21:45:35 | |
