In this paper we are concerned with a one-dimensional linear theory of inhomogeneous porous-thermo-elastic materials with microtemperatures. The main results contain the global well-posedness and stability of the system. By using Lumer–Philips theorem, we prove that the system is well posed. By using energy method, we establish exponential decay rate of the system.

中文翻译：

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具有温度和微温的非均质多孔弹性系统的稳定性

在本文中，我们关注具有微温的非均匀多孔热弹性材料的一维线性理论。主要结果包含系统的全局适定性和稳定性。通过使用 Lumer-Philips 定理，我们证明系统是适定的。利用能量法，我们建立了系统的指数衰减率。