Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
Analysis of PDEs
2015-02-04 v1 Plasma Physics
Abstract
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 S\'ebelin 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.
Keywords
Cite
@article{arxiv.1502.00954,
title = {Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition},
author = {Aurore Back and Takashi Hattori and Simon Labrunie and Jean-Rodolphe Roche and Pierre Bertrand},
journal= {arXiv preprint arXiv:1502.00954},
year = {2015}
}