Comptes Rendus
no. 8
Partial differential equations
Finite dimensional global attractor for a suspension bridge problem with delay
[Attracteur global de dimension finie pour un problème de pont suspendu avec retard]

Présenté par : the Editorial Board

Salim A. Messaoudi1 ; Soh E. Mukiawa1 ; Enyi D. Cyril1
1 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 546, Dhahran 31261, Saudi Arabia
Comptes Rendus. Mathématique, Volume 354 (2016) no. 8, pp. 808-824.

Cet article est consacré à l'étude d'un problème semi-linéaire décrivant le déplacement vers le bas d'un pont suspendu, en présence d'une force de rappel exercée par les câbles, une force extérieure qui tient compte de la gravité et un terme de retard qui représente l'historique.

Le but est d'établir un résultat bien posé et l'existence d'un attracteur global de dimension finie.

This paper is devoted to the study of a semilinear problem describing the downward displacement of a suspension bridge in the presence of a hanger restoring force h(u), an external force f which includes gravity, and a delay term which accounts for its history. The goal is to establish a well-posedness result and the existence of a finite-dimensional global attractor.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.05.014

Salim A. Messaoudi 1 ; Soh E. Mukiawa 1 ; Enyi D. Cyril 1

1 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 546, Dhahran 31261, Saudi Arabia 
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Salim A. Messaoudi; Soh E. Mukiawa; Enyi D. Cyril. Finite dimensional global attractor for a suspension bridge problem with delay. Comptes Rendus. Mathématique, Volume 354 (2016) no. 8, pp. 808-824. doi : 10.1016/j.crma.2016.05.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.05.014/

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  • Zayd Hajjej A suspension bridges with a fractional time delay: Asymptotic behavior and Blow-up in finite time, AIMS Mathematics, Volume 9 (2024) no. 8, p. 22022 | DOI:10.3934/math.20241070
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