Abstract
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.
Acknowledgements
This work was supported by PRC Grants NSFC 10771032. The author expresses his gratitude to Professor Mingxin Wang for his enthusiastic guidance and constant encouragement.