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Zeitschrift für Analysis und ihre Anwendungen

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Volume 37, Issue 3, 2018, pp. 349–375
DOI: 10.4171/ZAA/1618

Published online: 2018-07-04

Stabilization of a Drude/Vacuum Model

Serge Nicaise[1]

(1) Université de Valenciennes, France

We analyze the stability of a dispersive medium immersed in vacuum (with Silver–Müller boundary condition in the exterior boundary) or vice versa. The dispersive medium model corresponds to the coupling between Maxwell’s system and a first order ordinary differential equation (of parabolic type). For a dispersive medium coupled with vacuum, the ordinary differential equation will be set in a subset of the full domain. We show that this model is well-posed and is strongly stable in a closed subspace of the energy space. We further identify some sufficient conditions that guarantee the exponential or polynomial decay of the associated energy in this subspace.

Keywords: Dispersive media, stabilization

Nicaise Serge: Stabilization of a Drude/Vacuum Model. Z. Anal. Anwend. 37 (2018), 349-375. doi: 10.4171/ZAA/1618