Polynomial stability of solutions for a system of non-linear viscoelastic equations
In this article, we consider an interacting system consisting of two weakly-coupled viscoelastic equations. This work proves a uniform stabilization result without assuming any decay rate of the relaxation function provided that the kernels have some flat zones, the size of the flat zones are sufficiently small.
Keywords: flat zone; memory term; polynomial decay; viscoelasticity
Document Type: Research Article
Affiliations: Department of Mathematics, Southeast University, Nanjing 210096, China
Publication date: 01 July 2009
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