Geodesic
On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects
Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 4, pp. 29-37.

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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. 
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     title = {On the decay of the energy for linear thermoelastic systems by thermal and micro-temperature effects},
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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, Tome 6 (2018) no. 4, pp. 29-37. http://geodesic.mathdoc.fr/item/EJMCA_2018_6_4_a2/