On Timoshenko-type systems with type III thermoelasticity: Asymptotic behavior

被引：5
|
作者：
Santos, M. L. [1 ]
Almeida Junior, D. S. [1 ]
机构：
[1] Fed Univ Para, Augusto Correa St 01, BR-66075110 Belem, Para, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 448卷 / 01期
关键词：
Asymptotic behavior; Timoshenko system; Type III thermoelasticity; ENERGY DECAY; EXPONENTIAL STABILITY; PAST HISTORY; BEAM;
D O I：
10.1016/j.jmaa.2016.10.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we consider a thermoelastic beam system where the oscillations are defined by the Timoshenko model and heat conduction is given by the Green and Naghdi theories. We provide an explicit characterization of the decay rate, which can be exponential or polynomial depending on the relationship between the coefficients of the wave propagation speed. Published by Elsevier Inc.
引用
收藏
页码：650 / 671
页数：22
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