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General decay for a coupled Lamé system of nonlinear viscoelastic equations
Journal article   Peer reviewed

General decay for a coupled Lamé system of nonlinear viscoelastic equations

Salah Boulaaras and Djamel Ouchenane
Mathematical methods in the applied sciences, Vol.43(4), pp.1717-1735
15/03/2020
DOI: https://doi.org/10.1002/mma.5998

Abstract

coupled system Lamé system Lyapunov function viscoelastic term
In this paper, we consider a coupled Lamé system of nonlinear viscoelastic equations with general source terms. Under some suitable conditions on the initial data and the relaxation functions, we prove an asymptotic stability result of global solution taking into account that the kernel is not necessarily decreasing. This work generalizes and improves earlier results in the literature.

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