We study the time decay of the solutions for the type III thermoelastic theory with microtemperatures and voids. We prove that, under suitable conditions for the constitutive tensors, the solutions decay exponentially. This fact is in somehow striking because it differs from the behaviour of the solutions in the classical model of thermoelasticity with microtemperatures and voids, where the exponential decay is not expected in the general case.

中文翻译：

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具有微观温度的三维 III 型热孔弹性指数稳定性

我们研究了具有微观温度和空隙的 III 型热弹性理论解的时间衰减。我们证明，在本构张量的合适条件下，解呈指数衰减。这个事实在某种程度上是惊人的，因为它不同于具有微观温度和空隙的经典热弹性模型中解的行为，其中在一般情况下不会预期指数衰减。