Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect

Margareth S. Alves; Celene Buriol; Marcio V. Ferreira; Jaime E.Muñoz Rivera; Mauricio Sepúlveda; Octavio Vera

doi:10.1016/j.jmaa.2012.10.019

Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect

Margareth S. Alves
, Celene Buriol
, Marcio V. Ferreira
, Jaime E.Muñoz Rivera
, Mauricio Sepúlveda
, Octavio Vera

Universidade Federal de Viçosa
Universidade Federal de Santa Maria
LNCC/MCT
Universidad de Concepción
Departamento Matemática. UBB

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

36 Citas (Scopus)

Resumen

We consider vibrations modeled by the standard linear solid model of viscoelasticity which are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We show that the exponential stability under the Fourier law of heat conduction holds. In order to obtain the asymptotic behaviour we use multiplier techniques.

Idioma original	Inglés
Páginas (desde-hasta)	472-479
Número de páginas	8
Publicación	Journal of Mathematical Analysis and Applications
Volumen	399
N.º	2
DOI	https://doi.org/10.1016/j.jmaa.2012.10.019
Estado	Publicada - 15 mar 2013
Publicado de forma externa	Sí

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title = "Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect",

abstract = "We consider vibrations modeled by the standard linear solid model of viscoelasticity which are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We show that the exponential stability under the Fourier law of heat conduction holds. In order to obtain the asymptotic behaviour we use multiplier techniques.",

keywords = "Asymptotic behaviour, C0-semigroup, Coupled system of thermoviscoelastic equations",

author = "Alves, \{Margareth S.\} and Celene Buriol and Ferreira, \{Marcio V.\} and Rivera, \{Jaime E.Mu{\~n}oz\} and Mauricio Sep{\'u}lveda and Octavio Vera",

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day = "15",

doi = "10.1016/j.jmaa.2012.10.019",

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AU - Alves, Margareth S.

AU - Buriol, Celene

AU - Ferreira, Marcio V.

AU - Rivera, Jaime E.Muñoz

AU - Sepúlveda, Mauricio

AU - Vera, Octavio

PY - 2013/3/15

Y1 - 2013/3/15

N2 - We consider vibrations modeled by the standard linear solid model of viscoelasticity which are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We show that the exponential stability under the Fourier law of heat conduction holds. In order to obtain the asymptotic behaviour we use multiplier techniques.

AB - We consider vibrations modeled by the standard linear solid model of viscoelasticity which are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We show that the exponential stability under the Fourier law of heat conduction holds. In order to obtain the asymptotic behaviour we use multiplier techniques.

KW - Asymptotic behaviour

KW - C0-semigroup

KW - Coupled system of thermoviscoelastic equations

UR - https://www.scopus.com/pages/publications/84870053184

U2 - 10.1016/j.jmaa.2012.10.019

DO - 10.1016/j.jmaa.2012.10.019

M3 - Article

AN - SCOPUS:84870053184

SN - 0022-247X

VL - 399

SP - 472

EP - 479

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect

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