Exponential stability in thermoviscoelastic mixtures of solids

M. S. Alves; J. E. Muñoz Rivera; M. Sepúlveda; O. V. Villagrán

doi:10.1016/j.ijsolstr.2009.07.026

Exponential stability in thermoviscoelastic mixtures of solids

M. S. Alves
, J. E. Muñoz Rivera
, M. Sepúlveda
, O. V. Villagrán

Departamento de Matemática
Universidade Federal de Viçosa
Laboratório Nacional de Computação Científica
Departamento de Ingeniería Matemática
Universidad de Concepción
Universidad del Bío-Bío

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	4151-4162
Number of pages	12
Journal	International Journal of Solids and Structures
Volume	46
Issue number	24
DOIs	https://doi.org/10.1016/j.ijsolstr.2009.07.026
State	Published - 1 Dec 2009
Externally published	Yes

Keywords

C-semigroup
Coupled system
Exponential stability
Thermoviscoelastic mixtures

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10.1016/j.ijsolstr.2009.07.026

Cite this

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title = "Exponential stability in thermoviscoelastic mixtures of solids",

abstract = "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.",

keywords = "C-semigroup, Coupled system, Exponential stability, Thermoviscoelastic mixtures",

author = "Alves, \{M. S.\} and \{Mu{\~n}oz Rivera\}, \{J. E.\} and M. Sep{\'u}lveda and Villagr{\'a}n, \{O. V.\}",

year = "2009",

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doi = "10.1016/j.ijsolstr.2009.07.026",

language = "English",

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T1 - Exponential stability in thermoviscoelastic mixtures of solids

AU - Alves, M. S.

AU - Muñoz Rivera, J. E.

AU - Sepúlveda, M.

AU - Villagrán, O. V.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - 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.

AB - 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.

KW - C-semigroup

KW - Coupled system

KW - Exponential stability

KW - Thermoviscoelastic mixtures

UR - https://www.scopus.com/pages/publications/70349845516

U2 - 10.1016/j.ijsolstr.2009.07.026

DO - 10.1016/j.ijsolstr.2009.07.026

M3 - Article

AN - SCOPUS:70349845516

SN - 0020-7683

VL - 46

SP - 4151

EP - 4162

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 24

ER -

Exponential stability in thermoviscoelastic mixtures of solids

Abstract

Keywords

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