A stability result for the vibrations given by the standard linear model with thermoelasticity of type III

Tijani A. Apalara; Salim A. Messaoudi; Jamal H. Al-Smail

doi:10.1080/00036811.2017.1335394

A stability result for the vibrations given by the standard linear model with thermoelasticity of type III

Tijani A. Apalara^*
, Salim A. Messaoudi
, Jamal H. Al-Smail

^*Corresponding author for this work

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

9 Scopus citations

Abstract

The aim of this article is to establish the well-posedness as well as an exponential stability result for the standard linear solid vibrating systems of thermoelasticity type III. Numerical experiments using finite differences are given to confirm our analytical result.

Original language	English
Pages (from-to)	1688-1700
Number of pages	13
Journal	Applicable Analysis
Volume	97
Issue number	10
DOIs	https://doi.org/10.1080/00036811.2017.1335394
State	Published - 27 Jul 2018

Bibliographical note

Publisher Copyright:
© 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

35B40
74H20
74H25
74H30
93D20
Well-posedness
exponential stability
thermoelasticity type III

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2017.1335394

Cite this

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title = "A stability result for the vibrations given by the standard linear model with thermoelasticity of type III",

abstract = "The aim of this article is to establish the well-posedness as well as an exponential stability result for the standard linear solid vibrating systems of thermoelasticity type III. Numerical experiments using finite differences are given to confirm our analytical result.",

keywords = "35B40, 74H20, 74H25, 74H30, 93D20, Well-posedness, exponential stability, thermoelasticity type III",

author = "Apalara, \{Tijani A.\} and Messaoudi, \{Salim A.\} and Al-Smail, \{Jamal H.\}",

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doi = "10.1080/00036811.2017.1335394",

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AU - Apalara, Tijani A.

AU - Messaoudi, Salim A.

AU - Al-Smail, Jamal H.

PY - 2018/7/27

Y1 - 2018/7/27

N2 - The aim of this article is to establish the well-posedness as well as an exponential stability result for the standard linear solid vibrating systems of thermoelasticity type III. Numerical experiments using finite differences are given to confirm our analytical result.

AB - The aim of this article is to establish the well-posedness as well as an exponential stability result for the standard linear solid vibrating systems of thermoelasticity type III. Numerical experiments using finite differences are given to confirm our analytical result.

KW - 35B40

KW - 74H20

KW - 74H25

KW - 74H30

KW - 93D20

KW - Well-posedness

KW - exponential stability

KW - thermoelasticity type III

UR - https://www.scopus.com/pages/publications/85020192390

U2 - 10.1080/00036811.2017.1335394

DO - 10.1080/00036811.2017.1335394

M3 - Article

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SN - 0003-6811

VL - 97

SP - 1688

EP - 1700

JO - Applicable Analysis

JF - Applicable Analysis

IS - 10

ER -

A stability result for the vibrations given by the standard linear model with thermoelasticity of type III

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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