Effects of history and heat models on the stability of thermoelastic Timoshenko systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:275

Article

Jorge Silva, M. A.¹  Racke, R.² 

[1] Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, Parana, Brazil

[2] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany

关键词: Timoshenko system;    Exponential stability;    History;    Cattaneo law;   

DOI  :  10.1016/j.jde.2020.11.041

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free