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On the Stability of a Thermoelastic Laminated Beam
Journal article   Peer reviewed

On the Stability of a Thermoelastic Laminated Beam

Tijani A. Apalara
Acta mathematica scientia, Vol.39(6), pp.1517-1524
01/11/2019

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we consider a one-dimensional laminated beam system. The only dissipation in the system is through heat conduction in the interfacial slip equation. We prove that this unique dissipation is strong enough to exponentially stabilize the system provided the wave speeds of the system are equal. This result extends previous works where additional internal or boundary controls were used together with a frictional damping in the interfacial slip.

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