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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2021

Linearized electrodynamics and stabilization of a cold magnetized plasma

Résumé

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.
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Dates et versions

hal-03265074 , version 1 (18-06-2021)

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Simon Labrunie, Ibtissem Zaafrani. Linearized electrodynamics and stabilization of a cold magnetized plasma. ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.60. ⟨10.1051/cocv/2021056⟩. ⟨hal-03265074⟩
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