Lack of exponential decay in viscoelastic materials with voids

被引：3
|
作者：
Xiao, Ti-Jun [1 ]
Zhang, Yuming [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2014年 / 63卷
关键词：
Porous elastic systems with history; Semigroup method; Exponential stability; TIMOSHENKO SYSTEMS; ENERGY DECAY; STABILITY; MEMORY;
D O I：
10.1016/j.sysconle.2013.11.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the stability of solutions to a coupled evolution system associated with an isotropic porous and centrosymmetric viscoelastic solid with porous dissipation (a porous elastic system with history). With the help of the method of the semigroup theory and some novel observations, we prove successfully that the condition of equal wave-speed propagation is still necessary for exponential stability of the system in the case of Dirichlet-Dirichlet boundary conditions. (C) 2013 Elsevier B.V. All rights reserved.
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页码：39 / 42
页数：4
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