loss of exponential stability for a thermoelastic system with memory
;Bruno Ferreira Alves;Waldemar Donizete Bastos;Carlos Alberto Raposo
icsoft 2006 - 1st international conference on software and data technologies, proceedings2010Vol. 2010pp. 1-5
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alves2010electronicloss
Abstract
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.