The global attractor for a suspension bridge with memory and partially hinged boundary conditions

Salim A. Messaoudi; Ahmed Bonfoh; Soh E. Mukiawa; Cyril D. Enyi

doi:10.1002/zamm.201600034

The global attractor for a suspension bridge with memory and partially hinged boundary conditions

Salim A. Messaoudi^*, Ahmed Bonfoh, Soh E. Mukiawa, Cyril D. Enyi

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. In the present paper, we consider a plate equation in the presence of memory and subject to the above-mentioned boundary conditions. We give a rigorous well-posedness result and establish the existence of a global attractor.

Original language	English
Pages (from-to)	159-172
Number of pages	14
Journal	ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Volume	97
Issue number	2
DOIs	https://doi.org/10.1002/zamm.201600034
State	Published - 1 Feb 2017

Bibliographical note

Publisher Copyright:
© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Keywords

Suspension bridge
global attractor
infinite memory
well-posedness

ASJC Scopus subject areas

Computational Mechanics
Applied Mathematics

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10.1002/zamm.201600034

Cite this

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abstract = "Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. In the present paper, we consider a plate equation in the presence of memory and subject to the above-mentioned boundary conditions. We give a rigorous well-posedness result and establish the existence of a global attractor.",

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The global attractor for a suspension bridge with memory and partially hinged boundary conditions. / Messaoudi, Salim A.; Bonfoh, Ahmed; Mukiawa, Soh E. et al.
In: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 97, No. 2, 01.02.2017, p. 159-172.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - The global attractor for a suspension bridge with memory and partially hinged boundary conditions

AU - Messaoudi, Salim A.

AU - Bonfoh, Ahmed

AU - Mukiawa, Soh E.

AU - Enyi, Cyril D.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. In the present paper, we consider a plate equation in the presence of memory and subject to the above-mentioned boundary conditions. We give a rigorous well-posedness result and establish the existence of a global attractor.

AB - Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge. The plate is assumed to be hinged on its vertical edges and free on its remaining horizontal edges. This reliable model aims to describe more accurately the motion of suspension bridges compared to all previous known models. In the present paper, we consider a plate equation in the presence of memory and subject to the above-mentioned boundary conditions. We give a rigorous well-posedness result and establish the existence of a global attractor.

KW - Suspension bridge

KW - global attractor

KW - infinite memory

KW - well-posedness

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The global attractor for a suspension bridge with memory and partially hinged boundary conditions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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