Effects of history and heat models on the stability of thermoelastic Timoshenko systems
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2021
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Jorge Silva, Marcio A.
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Journal of Differential Equations. Elsevier. 2021, 275, pp. 167-203. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2020.11.041
Zusammenfassung
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.
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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. 2021, 275, pp. 167-203. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2020.11.041BibTex
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year={2021},
doi={10.1016/j.jde.2020.11.041},
title={Effects of history and heat models on the stability of thermoelastic Timoshenko systems},
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journal={Journal of Differential Equations},
pages={167--203},
author={Jorge Silva, Marcio A. and Racke, Reinhard}
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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