Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay

Muhammad Kafini; Salim A. Messaoudi; Muhammad I. Mustafa; Tijani Apalara

doi:10.1007/s00033-014-0475-9

Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay

Muhammad Kafini^*
, Salim A. Messaoudi
, Muhammad I. Mustafa
, Tijani Apalara

^*Corresponding author for this work

Department of Mathematics

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

38 Scopus citations

Abstract

In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with delay, where the heat conduction is given by Green and Naghdi’s theory. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation.

Original language	English
Pages (from-to)	1499-1517
Number of pages	19
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	66
Issue number	4
DOIs	https://doi.org/10.1007/s00033-014-0475-9
State	Published - 10 Aug 2015

Bibliographical note

Publisher Copyright:
© 2014, Springer Basel.

Keywords

Delay
Thermoelasticity type III
Timoshenko
Uniform decay

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1007/s00033-014-0475-9

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abstract = "In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with delay, where the heat conduction is given by Green and Naghdi{\textquoteright}s theory. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation.",

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AU - Kafini, Muhammad

AU - Messaoudi, Salim A.

AU - Mustafa, Muhammad I.

AU - Apalara, Tijani

PY - 2015/8/10

Y1 - 2015/8/10

N2 - In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with delay, where the heat conduction is given by Green and Naghdi’s theory. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation.

AB - In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with delay, where the heat conduction is given by Green and Naghdi’s theory. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation.

KW - Delay

KW - Thermoelasticity type III

KW - Timoshenko

KW - Uniform decay

UR - https://www.scopus.com/pages/publications/84938972920

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M3 - Article

AN - SCOPUS:84938972920

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JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 4

ER -

Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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