Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
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In this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore–Gibson–Thompson equation, arising via the introduction of a relaxation parameter in the Green-Naghdi type III theory. The well-posedness of the resulting integro-differential system is discussed. In the one-dimensional case, the exponential decay of the energy is proved
CitationConti, M.; Pata, V.; Quintanilla, R. Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature. "Asymptotic analysis", 6 Octubre 2020, vol. 120, num. 1-2, p. 1-21.