On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects

Mouna Hachelfi; Abdelhak Djebabla; Nasser Eddine Tatar

doi:10.32523/2306-6172-2018-6-4-29-37

On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects

Mouna Hachelfi, Abdelhak Djebabla, Nasser Eddine Tatar

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

11 Scopus citations

Abstract

In this paper we consider a system formed by four partial differential equations: Two hyperbolic equations coupled with two parabolic equations involving the difference in temperature and the microtemperature. This system appears in porous thermoelasticity. Using the energy method, we prove the exponential decay for the energy.

Original language	English
Pages (from-to)	29-37
Number of pages	9
Journal	Eurasian Journal of Mathematical and Computer Applications
Volume	6
Issue number	4
DOIs	https://doi.org/10.32523/2306-6172-2018-6-4-29-37
State	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018, L.N. Gumilyov Eurasian National University.

Keywords

Exponential decay
Micro-temperature damping
Porous system
Thermal effect

ASJC Scopus subject areas

Information Systems
Modeling and Simulation
Mathematical Physics
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.32523/2306-6172-2018-6-4-29-37

Cite this

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title = "On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects",

abstract = "In this paper we consider a system formed by four partial differential equations: Two hyperbolic equations coupled with two parabolic equations involving the difference in temperature and the microtemperature. This system appears in porous thermoelasticity. Using the energy method, we prove the exponential decay for the energy.",

keywords = "Exponential decay, Micro-temperature damping, Porous system, Thermal effect",

author = "Mouna Hachelfi and Abdelhak Djebabla and Tatar, \{Nasser Eddine\}",

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T1 - On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects

AU - Hachelfi, Mouna

AU - Djebabla, Abdelhak

AU - Tatar, Nasser Eddine

PY - 2018

Y1 - 2018

N2 - In this paper we consider a system formed by four partial differential equations: Two hyperbolic equations coupled with two parabolic equations involving the difference in temperature and the microtemperature. This system appears in porous thermoelasticity. Using the energy method, we prove the exponential decay for the energy.

AB - In this paper we consider a system formed by four partial differential equations: Two hyperbolic equations coupled with two parabolic equations involving the difference in temperature and the microtemperature. This system appears in porous thermoelasticity. Using the energy method, we prove the exponential decay for the energy.

KW - Exponential decay

KW - Micro-temperature damping

KW - Porous system

KW - Thermal effect

UR - https://www.scopus.com/pages/publications/85058390693

U2 - 10.32523/2306-6172-2018-6-4-29-37

DO - 10.32523/2306-6172-2018-6-4-29-37

M3 - Article

AN - SCOPUS:85058390693

SN - 2306-6172

VL - 6

SP - 29

EP - 37

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

IS - 4

ER -

On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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