Loss of exponential stability for a thermoelastic system with memory

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...

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Bibliographic Details
Main Authors: Bruno Ferreira Alves, Waldemar Donizete Bastos, Carlos Alberto Raposo
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/132/abstr.html