General and optimal decay result for a viscoelastic Timochenko beam fixed into a moving base

Imane  Djaidja; Ammar Khemmoudj

doi:10.5269/bspm.65117

Imane Djaidja
Ammar Khemmoudj Faculty of Mathematics, University of Sciences and Technology Houari Boumedienne http://orcid.org/0000-0001-8001-4290

Abstract

In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For a wider class of relaxation functions, We show that the dissipation produced by the memory effect is strong enough to produce a general decay results. We establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

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