Volume 27, 2021
|Number of page(s)||46|
|Published online||18 June 2021|
Linearized electrodynamics and stabilization of a cold magnetized plasma*
Université de Lorraine, CNRS, IECL,
2 Université de Sousse, Laboratoire de Mathématiques, École Supérieure des Sciences et de la technologie, 4011 Hammam Sousse, Tunisia.
** Corresponding author: firstname.lastname@example.org
Accepted: 24 May 2021
We consider a linearized Euler–Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we show its well-posedeness, its strong and polynomial stability under suitable and fairly general assumptions, its exponential stability in the same conditions as the Maxwell system, and finally its convergence to the time-harmonic regime. No homogeneity assumption is made, and the topological and geometrical assumptions on the domain are minimal. These results appear strongly linked to the spectral properties of various matrices describing the anisotropy and other plasma properties.
Mathematics Subject Classification: 35Q61 / 35B40 / 37L15 / 47D06 / 93D20 / 93D23
Key words: Maxwell equations / plasma / hydrodynamic models / stabilization / absorbing boundary condition / evolution semigroups / strong stability / exponential stability
© The authors. Published by EDP Sciences, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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