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General decay for a coupled Lamé system of nonlinear viscoelastic equations

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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… Click to show full abstract

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.

Keywords: coupled lam; system nonlinear; lam system; nonlinear viscoelastic; viscoelastic equations

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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