Energy decay to Timoshenko's system with thermoelasticity of type III

被引：29

作者：

Fatori, L. H. ^{[1
]}

Munoz Rivera, J. E. ^{[2
]}

Monteiro, R. Nunes ^{[1
]}

机构：

[1] Univ Estadual Londrina, Dept Math, BR-86051990 Londrina, Parana, Brazil

[2] LNCC MCT, Natl Lab Sci Computat, BR-25651070 Petropolis, RJ, Brazil

来源：

ASYMPTOTIC ANALYSIS | 2014年 / 86卷 / 3-4期

关键词：

Timoshenko system; decay rates; optimality of polynomial stability; EXPONENTIAL STABILITY;

D O I：

10.3233/ASY-131196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the thermoelastic beam system when the oscillations are defined by the Timoshenko's model and the heat conduction is given by Green and Naghdi theories. Our main result is that the corresponding semigroup is exponentially stable if and only if the wave speeds associated to the hyperbolic part of the system are equal. In the case of lack of exponential stability we show that the solution decays polynomially and we prove that the rate of decay is optimal.

引用

页码：227 / 247

页数：21

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