Polynomial stability of solutions for a system of non-linear viscoelastic equations

被引：18

作者：

Yu, Shengqi ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

APPLICABLE ANALYSIS | 2009年 / 88卷 / 07期

关键词：

viscoelasticity; memory term; flat zone; polynomial decay; WAVE-EQUATION; GLOBAL EXISTENCE; ENERGY DECAY; MEMORY;

D O I：

10.1080/00036810903114825

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1039 / 1051

页数：13

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