Exponential stability of serially connected thermoelastic system of type II with nodal damping

被引：9

作者：

Wang, Lei ^{[1
]}

Han, Zhong-Jie ^{[2
]}

Xu, Gen-Qi ^{[2
]}

机构：

[1] Tianjin Univ Technol, Dept Math, Tianjin 300384, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 07期

关键词：

thermoelasticity; joint damping; spectrum; stability; 74F05; 35B40; 35Q70; TIMOSHENKO-TYPE SYSTEM; EULER-BERNOULLI BEAMS; ENERGY DECAY; TRANSMISSION PROBLEM; RIESZ BASIS; STABILIZATION; SPECTRUM; CHAIN;

D O I：

10.1080/00036811.2013.836596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a serially connected thermoelastic rods of type II, where the heat conduction is described by the theories of Green and Naghdi. Using the frequency domain method, together with multiplier techniques, we show that the energy of this multi-connected system decays to zero exponentially in the presence of boundary and joint damping, by estimating the uniform boundedness of the norm of the resolvent operator along the imaginary axis.

引用

页码：1495 / 1514

页数：20

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