Effects of history and heat models on the stability of thermoelastic Timoshenko systems
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Jorge Silva, Marcio A.; Racke, Reinhard |
| Year of publication: | 2021 |
| Published in: | Journal of Differential Equations ; 275 (2021). - pp. 167-203. - Elsevier. - ISSN 0022-0396. - eISSN 1090-2732 |
| DOI (citable link): | https://dx.doi.org/10.1016/j.jde.2020.11.041 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
| Refereed: | Yes |
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JORGE SILVA, Marcio A., Reinhard RACKE, 2021. Effects of history and heat models on the stability of thermoelastic Timoshenko systems. In: Journal of Differential Equations. Elsevier. 275, pp. 167-203. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2020.11.041
@article{JorgeSilva2021Effec-49970.2, title={Effects of history and heat models on the stability of thermoelastic Timoshenko systems}, year={2021}, doi={10.1016/j.jde.2020.11.041}, volume={275}, issn={0022-0396}, journal={Journal of Differential Equations}, pages={167--203}, author={Jorge Silva, Marcio A. and Racke, Reinhard} }
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