We study the linear theory of thermo-electro-viscoelasticity of Green–Naghdi type for the case of a one-dimensional body. For the corresponding mathematical model, we prove a uniqueness theorem of the solution to the mixed boundary-initial-value problem by means of the Laplace transform after rewriting the constitutive equations in an appropriate form. Moreover, we derive a result of continuous dependence upon the supply terms.

中文翻译：

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Green-Naghdi 型热电粘弹性的适定性

我们研究了一维物体的 Green-Naghdi 型热电粘弹性的线性理论。对于相应的数学模型，我们将本构方程改写为适当的形式后，通过拉普拉斯变换证明了混合边初值问题解的唯一性定理。此外，我们推导出持续依赖供应条件的结果。