HAL : hal-00617226, version 1

DOI : 10.3934/dcdsb.2011.15.513

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Discrete and Continuous Dynamical Systems, Series B Vol. 15, No. 3 (2011) 513-544

Mathematical models for strongly magnetized plasmas with mass disparate particles

Mihai Bostan 1, Claudia Negulescu 2

(22/08/2011)

The controlled fusion is achieved by magnetic confinement : the plasma is confined into toroidal devices called tokamaks, under the action of strong magnetic fields. The particle motion reduces to advection along the magnetic lines combined to rotation around the magnetic lines. The rotation around the magnetic lines is much faster than the parallel motion and efficient numerical resolution requires homogenization procedures. Moreover the rotation period, being proportional to the particle mass, introduces very different time scales in the case when the plasma contains disparate particles; the electrons turn much faster than the ions, the ratio between their cyclotronic periods being the mass ratio of the electrons with respect to the ions. The subject matter of this paper concerns the mathematical study of such plasmas, under the action of strong magnetic fields. In particular, we are interested in the limit models when the small parameter, representing the mass ratio as well as the fast cyclotronic motion, tends to zero.

1 :	Laboratoire de Mathématiques (LM-Besançon)
	CNRS : UMR6623 – Université de Franche-Comté
2 :	Laboratoire d'Analyse, Topologie, Probabilités (LATP)
	CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III

Domaine

:

Mathématiques/Equations aux dérivées partielles Physique/Physique/Physique des plasmas

Mots Clés : Vlasov equation – Multi-scale analysis – Average operator

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Contributeur : Mihai Bostan <>

Soumis le : Vendredi 26 Août 2011, 15:39:14

Dernière modification le : Vendredi 26 Août 2011, 18:29:57