Zeitschrift für Analysis und ihre Anwendungen


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Published online first: 2021-08-25
DOI: 10.4171/ZAA/1689

Polynomial Stability of a Suspension Bridge Model by Indirect Dampings

Serge Nicaise[1] and Monia Bel Hadjsaleh[2]

(1) Université Polytechnique Hauts-de-France, Valenciennes, France
(2) Université de Monastir, Tunisia

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.

Keywords: String-beam system, stabilization, observability estimates, Riesz basis method

Nicaise Serge, Bel Hadjsaleh Monia: Polynomial Stability of a Suspension Bridge Model by Indirect Dampings. Z. Anal. Anwend. Electronically published on August 25, 2021. doi: 10.4171/ZAA/1689 (to appear in print)