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Uniform Stability of Second Sound Thermoelasticity with Distributed Delay

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Abstract

In this paper we consider a thermoelastic system of second sound with internal delay. Under suitable assumption on the weight of the delay, we prove, using the energy method, that the damping effect through heat conduction given by Cattaneo’s law is still strong enough to uniformly stabilize the system even in the presence of time delay.

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Acknowledgements

The author thanks University of Sharjah for its continuous support.

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  1. Department of Mathematics, University of Sharjah, 27272, Sharjah, United Arab Emirates

    Muhammad I. Mustafa

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  1. Muhammad I. Mustafa
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Correspondence to Muhammad I. Mustafa.

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Mustafa, M.I. Uniform Stability of Second Sound Thermoelasticity with Distributed Delay. Differ Equ Dyn Syst 29, 597–608 (2021). https://doi.org/10.1007/s12591-017-0389-z

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