Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms

descriptionPublicationkeyboard_double_arrow_right Article 12 Nov 2020 English Publisher:WileyJournal:Journal of Function Spaces, volume 2,020, pages 1-14 (issn: 2314-8896, eissn: 2314-8888,

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Authors: Nadjat Doudi; Salah Mahmoud Boulaaras; Ahmad Mohammed Alghamdi; Bahri Cherif;

doi: 10.1155/2020/8879366

Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms

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Abstract

In this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov functional.

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Keywords

Integro-partial differential equations, Asymptotic behavior of solutions to PDEs, QA1-939, general energy decay, Linear constitutive equations for materials with memory, Lyapunov functional, Mathematics, Initial-boundary value problems for second-order hyperbolic systems

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