LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY

Alves, Bruno Ferreira; Bastos, Waldemar Donizete; Raposo, Carlos Alberto

Otro

Registro en:

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

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

http://repositorioslatinoamericanos.uchile.cl/handle/2250/867625

Autor

Alves, Bruno Ferreira

Bastos, Waldemar Donizete

Raposo, Carlos Alberto

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Materias

Heat conduction with memory

C-0-semigroup

decay of solutions

thermoelastic system

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