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We consider a linearized Euler--Maxwell model for the propagation andabsorption of electromagnetic waves in a magnetized plasma. We present thederivation of the model, and we show its well-posedeness, its strong andpolynomial stability under suitable and fairly general assumptions, itsexponential stability in the same conditions as the Maxwell system, and finallyits 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 variousmatrices describing the anisotropy and other plasma properties.

Linearised electrodynamics and stabilisation of a cold magnetised plasma