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Some results in Moore-Gibson-Thompson thermoelasticity of dipolar bodies

  • We consider the mixed initial-boundary value problem in the context of the Moore-Gibson-Thompson theory of thermoelasticity for dipolar bodies. We consider the case of heat conduction with dissipation. Even if the elasticity tensors are not supposed to be positively defined, we have proven both, the uniqueness and the instability of the solution of the mixed problem. In the case that the mass density and the thermal conductivity tensor are positive, we obtain the uniqueness of the solution using some Lagrange type identities.

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Author:Marin Marin, Andreas Öchsner, Muhammad Mubashir Bhatti
Parent Title (English):ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik
Publisher:Wiley-VCH GmbH
Place of publication:Weinheim
Document Type:Article
Year of Completion:2020
Release Date:2021/01/13
Page Number:13
Open Access?:nur im Hochschulnetz
Relevance:Peer reviewed Publikation in Master Journal Liste (Clarivate)
Licence (German):License LogoVeröffentlichungsvertrag ohne Print-on-Demand