Exponential stability in thermoviscoelastic mixtures of solids

In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the co...

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Detalhes bibliográficos
Autores: Alves, Margareth S., Rivera, Jaime E. Muñoz, Sepúlveda, Mauricio A., Villagrán, Octavio Paulo Vera
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Brasil
Recursos:Universidade Federal de Viçosa (UFV)
Repositorio:LOCUS Repositório Institucional da UFV
Idioma:inglés
OAI Identifier:oai:locus.ufv.br:123456789/22075
Acesso em linha:https://doi.org/10.1016/j.ijsolstr.2009.07.026
http://www.locus.ufv.br/handle/123456789/22075
Access Level:acceso abierto
Palavra-chave:Thermoviscoelastic mixtures
C0-semigroup
Exponential stability
Coupled system
Descrição
Resumo:In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup.