Polynomial stability of a suspension bridge model by indirect dampings
type: Item
instance of: scholarly article
title: Polynomial stability of a suspension bridge model by indirect dampings
zbMATH Open document ID: 1483.35039
DOI: 10.4171/ZAA/1689
author: Serge Nicaise
author: Monia Bel Hadjsaleh
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2022-02-14T00:00:00Z
review text: Summary: In this paper, we study the indirect stabilization of a coupled string-beam system related to the well-known Lazer-McKenna suspension bridge model. We prove some decay results of the energy of the system with either interior dampings or boundary ones. Our method is based on observability estimates of the undamped system and on the spectral analysis of the spatial operator.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35L57
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H40
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 7473036
zbMATH Keywords: string-beam system
zbMATH Keywords: stabilization
zbMATH Keywords: observability estimates
zbMATH Keywords: Riesz basis method
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7473036