Loss of exponential stability for a thermoelastic system with memory

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Data

2010-09-28

Autores

Alves, Bruno Ferreira
Bastos, Waldemar Donizete [UNESP]
Raposo, Carlos Alberto

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Resumo

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. © 2010 Texas State University - San Marcos.

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C0-semigroup; decay of solutions, Heat conduction with memory, Thermoelastic system

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Electronic Journal of Differential Equations, v. 2010, p. 1-5.