Moore-Gibson-Thompson thermoelasticity with two temperatures

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 thermoelasti...

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Autor principal:	Ramón Quintanilla
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2020
Materias:	Moore-Gibson-Thompson heat conduction Two temperatures Exponential stability Slow decay Polynomial decay Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/3bc6462276494c9ebd618e9a0b8ab51f
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spelling	oai:doaj.org-article:3bc6462276494c9ebd618e9a0b8ab51f2021-12-01T05:05:16ZMoore-Gibson-Thompson thermoelasticity with two temperatures2666-496810.1016/j.apples.2020.100006https://doaj.org/article/3bc6462276494c9ebd618e9a0b8ab51f2020-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300066https://doaj.org/toc/2666-4968In 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.Ramón QuintanillaElsevierarticleMoore-Gibson-Thompson heat conductionTwo temperaturesExponential stabilitySlow decayPolynomial decayEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 1, Iss , Pp 100006- (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Moore-Gibson-Thompson heat conduction Two temperatures Exponential stability Slow decay Polynomial decay Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Moore-Gibson-Thompson heat conduction Two temperatures Exponential stability Slow decay Polynomial decay Engineering (General). Civil engineering (General) TA1-2040 Ramón Quintanilla Moore-Gibson-Thompson thermoelasticity with two temperatures
description	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.
format	article
author	Ramón Quintanilla
author_facet	Ramón Quintanilla
author_sort	Ramón Quintanilla
title	Moore-Gibson-Thompson thermoelasticity with two temperatures
title_short	Moore-Gibson-Thompson thermoelasticity with two temperatures
title_full	Moore-Gibson-Thompson thermoelasticity with two temperatures
title_fullStr	Moore-Gibson-Thompson thermoelasticity with two temperatures
title_full_unstemmed	Moore-Gibson-Thompson thermoelasticity with two temperatures
title_sort	moore-gibson-thompson thermoelasticity with two temperatures
publisher	Elsevier
publishDate	2020
url	https://doaj.org/article/3bc6462276494c9ebd618e9a0b8ab51f
work_keys_str_mv	AT ramonquintanilla mooregibsonthompsonthermoelasticitywithtwotemperatures
_version_	1718405535777161216

Moore-Gibson-Thompson thermoelasticity with two temperatures

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