Abstract We investigate different and new thermoelastic Timoshenko systems with or without history, and with Fourier or Cattaneo law for heat conduction, with respect to (non-)exponential stability. Results are obtained that shed a new light on the role of history terms and that of the heat conduction law. Improvements of previous results of earlier work [12] are presented, clarifying open questions, as well as results contrasting [14] . The sensitivity of the Timoshenko system with respect to heat conduction laws and history terms is illustrated.

中文翻译：

---

历史和热模型对热弹性 Timoshenko 系统稳定性的影响

摘要 我们研究了不同的和新的热弹性 Timoshenko 系统，有或没有历史，以及关于（非）指数稳定性的傅立叶或卡塔尼奥热传导定律。获得的结果揭示了历史术语的作用和热传导定律的作用。介绍了早期工作 [12] 的先前结果的改进，澄清了开放性问题，以及对比结果 [14]。说明了 Timoshenko 系统对热传导定律和历史术语的敏感性。