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.
Cite this article
Serge Nicaise, Monia Bel Hadjsaleh, Polynomial Stability of a Suspension Bridge Model by Indirect Dampings. Z. Anal. Anwend. 40 (2021), no. 4, pp. 367–400DOI 10.4171/ZAA/1689