LOSS OF EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY

被引：0
|
作者：
Alves, Bruno Ferreira [1 ]
Bastos, Waldemar Donizete [2 ]
Raposo, Carlos Alberto [1 ]
机构：
[1] Fed Univ SJ del Rey, Dept Math, BR-36300000 Sao Joao Del Rei, MG, Brazil
[2] Sao Paulo State Univ, Dept Math, UNESP, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年
关键词：
Heat conduction with memory; C-0-semigroup; decay of solutions; thermoelastic system;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable.
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页数：5
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