Work

A qualitative study for Moore–Gibson–Thompson theories with two temperatures

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Thermal Stresses

DOI: 10.1080/01495739.2025.2485481

Authors: Antonio Magaña, Marc Magaña, Ramón Quintanilla

Institutions: Peruvian University of Applied Sciences, Universitat Politècnica de Catalunya, Universitat Autònoma de Barcelona

Language: English

Topic: Thermoelastic and Magnetoelastic Phenomena

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Ministerio de Ciencia, Innovación y Universidades

Award: G4314937763