Feng (Complexity, Art. 5139419, 2020) studied a thermoelastic laminated Timoshenko beam, where the heat conduction is given by Cattaneo’s law, as well as established the exponential and polynomial stabilities depending on the stability number \(\chi _\tau \). In this short paper, we consider the same system and show a lack of exponential stability when the stability number \(\chi _\tau \ne 0\), by using Gearhart–Herbst–Prüss–Huang theorem.

中文翻译：

---

根据Cattaneo热传导定律，热弹性叠层梁缺乏指数衰减

Feng（Complexity，Art。5139419，2020）研究了热弹性叠层Timoshenko梁，其中热传导由Cattaneo定律给出，并根据稳定性数\（\ chi _ \ tau \）建立了指数和多项式稳定性。。在这篇简短的论文中，我们使用Gearhart–Herbst–Prüss–Huang定理，考虑了相同的系统，并且当稳定性数\（\ chi _ \ tau \ ne 0 \）时，显示出缺乏指数稳定性。