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Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 4, Pages 29–37
DOI: https://doi.org/10.32523/2306-6172-2018-6-4-29-37 (Mi ejmca122) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

M. Hachelfia, A. Djebablaa, N. Tatarb

a Laboratory of Applied Mathematics, University Badji Mokhtar, P.O. Box 12, 23000 Annaba, Algeria
b Nasser-Eddine Tatar King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia
Full-text PDF (352 kB) Citations (1)
DOI: https://doi.org/10.32523/2306-6172-2018-6-4-29-37
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, porous system, thermal effect, micro-temperature damping.
Bibliographic databases:
Document Type: Article
MSC: 435B37, 35L55, 74D05, 93D15, 93D20
Language: English
Citation: M. Hachelfi, A. Djebabla, N. Tatar, “On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects”, Eurasian Journal of Mathematical and Computer Applications, 6:4 (2018), 29–37
Citation in format AMSBIB
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\by M.~Hachelfi, A.~Djebabla, N.~Tatar
\paper On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2018
\vol 6
\issue 4
\pages 29--37
\mathnet{http://mi.mathnet.ru/ejmca122}
\crossref{https://doi.org/10.32523/2306-6172-2018-6-4-29-37}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058390693}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Eurasian Journal of Mathematical and Computer Applications
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