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

中文翻译：

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Moore-Gibson-Thompson 型热弹性与温度的历史相关性

在本文中，我们考虑热弹性模型，其中热传导由摩尔-吉布森-汤普森方程的历史相关版本描述，通过在 Green-Naghdi III 型理论中引入松弛参数而产生。讨论了所得积分微分系统的适定性。在一维情况下，证明了能量的指数衰减