Dynamics of a thermoelastic-laminated beam problem

Cyril Dennis Enyi; Soh Edwin Mukiawa; Cyril Dennis Enyi; Soh Edwin Mukiawa

doi:10.3934/math.2020338

AIMS Mathematics

2020, Volume 5, Issue 5: 5261-5286. doi: 10.3934/math.2020338

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Research article

Dynamics of a thermoelastic-laminated beam problem

Cyril Dennis Enyi ,
Soh Edwin Mukiawa ^,

Department of Mathematics and Statistics, University of Hafr Al Batin, Hafar Al Batin, 39524, Saudi Arabia

Received: 26 February 2020 Accepted: 31 May 2020 Published: 19 June 2020
MSC : 35B35, 35B40, 35D35, 37L05, 37L30, 93D15

The main goal of this work is to study the dynamics of a nonlinear thermoelastic laminated beam system with infinite memory acting on the effective rotation angle. We establish the well-posedness and prove the existence of a finite-dimensional global attractor.
- well-posedness,
- global attractor,
- finite-dimensional,
- infinite memory,
- laminated beam,
- thermoelasticity
Citation: Cyril Dennis Enyi, Soh Edwin Mukiawa. Dynamics of a thermoelastic-laminated beam problem[J]. AIMS Mathematics, 2020, 5(5): 5261-5286. doi: 10.3934/math.2020338

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Abstract

The main goal of this work is to study the dynamics of a nonlinear thermoelastic laminated beam system with infinite memory acting on the effective rotation angle. We establish the well-posedness and prove the existence of a finite-dimensional global attractor.

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