LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
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Data
2010-09-14
Autores
Alves, Bruno Ferreira
Bastos, Waldemar Donizete [UNESP]
Raposo, Carlos Alberto
Título da Revista
ISSN da Revista
Título de Volume
Editor
Texas State Univ
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.
Descrição
Palavras-chave
Heat conduction with memory, C-0-semigroup, decay of solutions, thermoelastic system
Como citar
Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 5, 2010.