Loss of exponential stability for a thermoelastic system with memory

Autor: Bruno Ferreira Alves, Waldemar Donizete Bastos, Carlos Alberto Raposo
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2010, Iss 132,, Pp 1-5 (2010)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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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