LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY


Autoria(s): Alves, Bruno Ferreira; Bastos, Waldemar Donizete; Raposo, Carlos Alberto
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

14/09/2010

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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.

Formato

5

Identificador

http://ejde.math.txstate.edu/

Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 5, 2010.

1072-6691

http://hdl.handle.net/11449/22167

WOS:000208204900003

WOS000208204900003.pdf

Idioma(s)

eng

Publicador

Texas State Univ

Relação

Electronic Journal of Differential Equations

Direitos

openAccess

Palavras-Chave #Heat conduction with memory #C-0-semigroup #decay of solutions #thermoelastic system
Tipo

info:eu-repo/semantics/article