Stabilization of a Drude/vacuum model
type: Item
instance of: scholarly article
title: Stabilization of a Drude/vacuum model
zbMATH Open document ID: 1398.35226
DOI: 10.4171/ZAA/1618
author: Serge Nicaise
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2018-08-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 6916004
zbMATH Keywords: dispersive media
zbMATH Keywords: stabilization
zbMATH Keywords: Maxwell-Drude model
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/1618
OpenAlex ID: W2811358579
Wikidata QID: Q129548328
description: scientific article; zbMATH DE number 6916004