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arXiv · 2007.08316

Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay

Mohammad Akil·Haidar Badawi·Ali Wehbe
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Abstract

The purpose of this paper is to investigate the stabilization of a one-dimensional coupled wave equations with non smooth localized viscoelastic damping of Kelvin-Voigt type and localized time delay. Using a general criteria of Arendt-Batty, we show the strong stability of our system in the absence of the compactness of the resolvent. Finally, using frequency domain approach combining with a multiplier method, we prove a polynomial energy decay rate of order 1/t.

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Mohammad Akil, Haidar Badawi, Ali Wehbe. 2020-07-16. Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay. https://arxiv.org/abs/2007.08316

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