## Stability of abstract thermoelastic systems with inertial terms

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2019
##### Authors
Fernández Sare, Hugo D.
Liu, Zhuangyi
Journal article
Published
##### Published in
Journal of Differential Equations ; 267 (2019), 12. - pp. 7085-7134. - ISSN 0022-0396. - eISSN 1090-2732
##### Abstract
We investigate coupled systems of thermoelastic type in a general abstract form both modeling Fourier and Cattaneo type heat conduction. In particular we take into account a possible inertial term. A complete picture of the regions of exponential stability resp. non-exponential stability for the arising parameters (two from the type of thermoelastic system, one from the inertial term) is given. The regions of loss of exponential stability, while moving from the Fourier to the Cattaneo law, are thus clearly recognized and interestingly large. The polynomial stability in regions of non-exponential stability is also characterized.
510 Mathematics
##### Keywords
Exponential stability, Polynomial stability, Fourier law of heat conduction, Cattaneo law of heat conduction, Inertial term, General parameter system
##### Cite This
ISO 690FERNÁNDEZ SARE, Hugo D., Zhuangyi LIU, Reinhard RACKE, 2019. Stability of abstract thermoelastic systems with inertial terms. In: Journal of Differential Equations. 267(12), pp. 7085-7134. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2019.07.015
BibTex
@article{FernandezSare2019Stabi-42217.2,
year={2019},
doi={10.1016/j.jde.2019.07.015},
title={Stability of abstract thermoelastic systems with inertial terms},
number={12},
volume={267},
issn={0022-0396},
journal={Journal of Differential Equations},
pages={7085--7134},
author={Fernández Sare, Hugo D. and Liu, Zhuangyi and Racke, Reinhard}
}

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