In this study, we consider the final boundary value problem for a thermoelastic Cosserat material. With the help of a simple translation, our final problem is transformed in a usual mixed problem with boundary relations and initial data. For this new problem, we obtain some theorems of uniqueness of solutions. For this, we do not use any law of conservation of energy, as is usually done to obtain a result of uniqueness. Moreover, we do not need assumptions to ensure the boundedness of the tensors which characterize thermoelastic coefficients.

中文翻译：

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热弹性 Cosserat 体建模的最终边界问题

在这项研究中，我们考虑了热弹性 Cosserat 材料的最终边值问题。在简单翻译的帮助下，我们的最终问题被转换为具有边界关系和初始数据的通常混合问题。对于这个新问题，我们得到了一些解唯一性定理。为此，我们不使用任何能量守恒定律，这通常是为了获得唯一性的结果。此外，我们不需要假设来确保表征热弹性系数的张量的有界性。