In this paper, we consider a one dimensional thermoelastic Timoshenko system in which the heat flux is given by Cattaneo’s law and acts locally on the bending moment with a time delay. We prove its well-posedness, strong stability, and polynomial stability.

中文翻译：

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非全局时滞Cattaneo定律热弹性Timoshenko系统的多项式稳定性

在本文中，我们考虑一维热弹性 Timoshenko 系统，其中热通量由 Cattaneo 定律给出，并局部作用于具有时间延迟的弯矩。我们证明了它的适定性、强稳定性和多项式稳定性。