Bruno Ferreira Alves, Waldemar Donizete Bastos, Carlos Alberto Raposo
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.
Submitted February 23, 2010. Published September 14, 2010.
Math Subject Classifications: 35B40, 35Q80, 35L05, 47D06.
Key Words: Heat conduction with memory; C_0-semigroup;
decay of solutions; thermoelastic system
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Bruno Ferreira Alves Departament of Mathematics, Federal University of S. J. del-Rey Pra&ccdeil;a Frei Orlando, 170, 36300-000, São João del Rei, MG, Brazil email: bruno.fa@ibest.com.br |
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Waldemar Donizete Bastos Departament of Mathematics, São Paulo State University, UNESP Rua Cristóvão Colombo, 2265, 15054-000 São José do Rio Preto, SP, Brazil email: waldemar@ibilce.unesp.br |
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Carlos Alberto Raposo Departament of Mathematics, Federal University of S. J. del-Rey Pra&ccdeil;a Frei Orlando, 170, 36300-000, São João del Rei, MG, Brazil email: raposo@ufsj.edu.br |
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