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oai:recercat.cat:2117/4395422026-03-12T01:23:48Zcom_2072_1033col_2072_452950

A qualitative study for Moore–Gibson–Thompson theories with two temperatures Magaña Nieto, Antonio Magaña Centelles, Marc Quintanilla de Latorre, Ramón Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. ALBCOM - Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències Instability Moore-Gibson-Thompson heat conduction Uniqueness Viscoelasticity of Zener type The aim of this paper is to obtain qualitative properties of the solutions to problems related to heat conduction of the Moore–Gibson–Thompson type with two temperatures and Zener viscoelasticity. In particular, uniqueness and instability results of solutions are obtained when we impose very relaxed conditions on the constitutive coefficients. We consider the case where the elasticity tensor is not necessarily positive definite. The fundamental tool to obtain our results is the logarithmic convexity method "This paper is part of the project “Qualitative and numerical analyses of some thermomechanics problems (ACUANUTER)” (Ref. PID2024-156827NB-I00), which is currently under evaluation by the Spanish Ministry of Science, Innovation and Universities. Marc Magaña’s research is supported by project “Analisis y Ecuaciones en Derivadas Parciales” (Ref. PID2020-112881GB-I00) of the Spanish Ministry of Science, Innovation and Universities." Peer Reviewed Postprint (author's final draft) 2025-12 Article Magaña, A.; Magaña, M.; Quintanilla, R. A qualitative study for Moore–Gibson–Thompson theories with two temperatures. «Journal of thermal stresses»,Desembre 2025, vol. 48, no 12, p. 1709-1722. 0149-5739 https://hdl.handle.net/2117/439542 10.1080/01495739.2025.2485481 eng https://www.tandfonline.com/doi/full/10.1080/01495739.2025.2485481 http://creativecommons.org/licenses/by-nc-nd/4.0/ Open Access Attribution-NonCommercial-NoDerivatives 4.0 International 14 p. application/pdf