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- W2968215979 abstract "In this paper, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We first investigate the strong stability of this system, then we devote our efforts to obtain the strong lower energy estimates using Alabau--Boussouira's energy comparison principle introduced in cite{2} (see also cite{alabau}). One of the main advantages of these results is that they allows us to prove the optimality of the asymptotic results (as $trightarrow infty$) obtained in cite{ali}. We also extend to our model the nice results achieved in cite{alabau} for the case of nonlinearly damped Timoshenko system with thermoelasticity. The optimality of our results is also investigated through some explicit examples of the nonlinear damping term. The proof of our results relies on the approach in cite{AB1, AB2}." @default.
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- W2968215979 date "2019-08-12" @default.
- W2968215979 modified "2023-09-27" @default.
- W2968215979 title "Lower bound and optimality for a nonlinearly damped Timoshenko system with thermoelasticity" @default.
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- W2968215979 doi "https://doi.org/10.3233/asy-191519" @default.
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