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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/22167
Title: 
LOSS of EXPONENTIAL STABILITY FOR A THERMOELASTIC SYSTEM WITH MEMORY
Author(s): 
Institution: 
  • Fed Univ SJ del Rey
  • Universidade Estadual Paulista (UNESP)
ISSN: 
1072-6691
Sponsorship: 
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Sponsorship Process Number: 
  • CNPq: 573523/2008-8
  • CNPq: 620025/2006-9
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.
Issue Date: 
14-Sep-2010
Citation: 
Electronic Journal of Differential Equations. San Marcos: Texas State Univ, p. 5, 2010.
Time Duration: 
5
Publisher: 
Texas State Univ
Keywords: 
  • Heat conduction with memory
  • C-0-semigroup
  • decay of solutions
  • thermoelastic system
Source: 
http://ejde.math.txstate.edu/
URI: 
http://hdl.handle.net/11449/22167
Access Rights: 
Acesso aberto
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/22167
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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