Abstract
In this paper we consider the type III thermoelastic theory with microtemperatures. We study the time decay of the solutions and we prove that under suitable conditions for the constitutive tensors, the solutions decay exponentially. This fact is in somehow shocking because it differs from the behavior of the solutions in the classical model of thermoelasticity with microtemperatures.
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Acknowledgements
Investigations reported in this paper were supported by project “Análisis Matemático de Problemas de la Termomecánica” (MTM2016-74934-P), (AEI/FEDER, UE) of the Spanish Ministry of Economy and Competitiveness. We want to thank two anonymous referees for their comments on a previous version of the paper.
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Magaña, A., Quintanilla, R. Exponential stability in type III thermoelasticity with microtemperatures. Z. Angew. Math. Phys. 69, 129 (2018). https://doi.org/10.1007/s00033-018-1023-9
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DOI: https://doi.org/10.1007/s00033-018-1023-9