About analyticity for the coupled system of linear thermoviscoelastic equations

In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic eq...

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Detalles Bibliográficos
Autores: Alves, Margareth S., Rivera, Jaime E. Muñoz, Sepúlveda, Mauricio, Vera, Octavio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:LOCUS Repositório Institucional da UFV
Idioma:inglés
OAI Identifier:oai:locus.ufv.br:123456789/21513
Acceso en línea:https://doi.org/10.1016/j.amc.2015.08.092
http://www.locus.ufv.br/handle/123456789/21513
Access Level:acceso abierto
Palabra clave:Thermoviscoelasticity
Exponential stability
Analyticity
Semigroup theory
Descripción
Sumario:In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.