| Issue |
ESAIM: M2AN
Volume 49, Number 5, September-October 2015
|
|
|---|---|---|
| Page(s) | 1239 - 1260 | |
| DOI | https://doi.org/10.1051/m2an/2015009 | |
| Published online | 16 July 2015 | |
Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition∗
1
Universitéde Lorraine, CNRS, Institut Elie Cartan de Lorraine, UMR
7502, 54506
Vandœuvre-lès-Nancy,
France
aurore.back, takashi.hattori, simon.labrunie, jean-rodolphe.roche@univ-lorraine.fr
2
Université de Lorraine, CNRS, Institut Jean Lamour, UMR 7198,
54011
Nancy,
France
pierre.bertrand@univ-lorraine.fr
Received: 17 October 2014
Revised: 28 January 2015
We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model and several boundary conditions modelling wave injection into the plasma. Then we propose several variational formulations, mixed and non-mixed, and prove their well-posedness thanks to a theorem by Sébelin et al. Finally, we propose a non-overlapping domain decomposition framework, show its well-posedness and equivalence with the one-domain formulation. These results appear strongly linked to the spectral properties of the plasma dielectric tensor.
Mathematics Subject Classification: 35J57 / 35Q60 / 65N55
Key words: Magnetised plasma / Maxwell’s equations / domain decomposition
© EDP Sciences, SMAI, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.