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Received July 25, 2020; Accepted November 17, 2020; December 3, 2020
Abstract. A beam modelled by a Timoshenko system with a viscoelastic damping on one component is considered. The system is coupled with a hyperbolic heat equation. One end of the structure is fixed to a platform in a translational movement and the other one is attached to a non-negligble mass. The well-posedness and asymptotic stability results for the system under some conditions on the initial and the boundary data are established.
How to Cite this Article:
Aissa Guesmia, Mohammad Kafini, Nasser Eddine Tatar, General stability results for the translational problem of memory-type in porous thermoelasticity of type III, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 49, pp. 1-23.