Volume 49, Number 5, September-October 2015
|Page(s)||1239 - 1260|
|Published online||16 July 2015|
Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition∗
Universitéde Lorraine, CNRS, Institut Elie Cartan de Lorraine, UMR
aurore.back, takashi.hattori, simon.labrunie, email@example.com
2 Université de Lorraine, CNRS, Institut Jean Lamour, UMR 7198, 54011 Nancy, France
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
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