Moore-Gibson-Thompson thermoelasticity with two temperatures
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10.1016/j.apples.2020.100006
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/327481
Tipus de documentArticle
Data publicació2020-05
EditorElsevier
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
Abstract
In this note we propose the Moore-Gibson-Thompson heat conduction equation with two temperatures and prove the well posedness and the exponential decay of the solutions under suitable conditions on the constitutive parameters. Later we consider the extension to the Moore-Gibson-Thompson thermoelasticity with two temperatures and prove that we cannot expect for the exponential stability even in the one-dimensional case. This last result contrasts with the one obtained for the Moore-Gibson-Thompson thermoelasticity where the exponential decay was obtained. However we prove the polynomial decay of the solutions. The paper concludes by giving the main ideas to extend the theory for inhomogeneous and anisotropic materials.
CitacióQuintanilla, R. Moore-Gibson-Thompson thermoelasticity with two temperatures. "Applications in Engineering Science", Maig 2020, vol. 1, p. 100006-1-100006-6.
ISSN2666-4968
Versió de l'editorhttps://www.sciencedirect.com/science/article/pii/S2666496820300066
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