Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
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 …