Energy decay for a porous thermoelastic system with thermoelasticity of second sound and with a non-necessary positive definite energy

Abdelfeteh Fareh and Salim A. Messaoudi

Applied Mathematics and Computation, 2017, vol. 293, issue C, 493-507

Abstract: In this paper we investigate a porous thermoelastic system where the heat conduction is given by Cattaneo’s law and where the energy associated with the solution is not necessary positive definite (μξ=b2). We introduce a stability number χ and prove an exponential (resp. polynomial) decay result depending on χ.

Keywords: Porous thermoelasticity; Exponential decay; Non-positive definite system; Second sound thermoelasticity (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:293:y:2017:i:c:p:493-507

DOI: 10.1016/j.amc.2016.08.040

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