We consider the mixed initial‐boundary value problem in the context of the Moore‐Gibson‐Thompson theory of thermoelasticity for dipolar bodies. We consider the case of heat conduction with dissipation. Even if the elasticity tensors are not supposed to be positively defined, we have proven both, the uniqueness and the instability of the solution of the mixed problem. In the case that the mass density and the thermal conductivity tensor are positive, we obtain the uniqueness of the solution using some Lagrange type identities.

中文翻译：

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偶极体的Moore-Gibson-Thompson热弹性的一些结果

我们在偶极子热弹性的摩尔-吉布森-汤普森理论的背景下考虑混合初始边界值问题。我们考虑有散热的情况。即使弹性张量没有被正确定义，我们也已经证明了混合问题解的唯一性和不稳定性。在质量密度和热导张量为正的情况下，我们使用一些拉格朗日型恒等式获得溶液的唯一性。