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Stability of abstract thermoelastic systems with inertial terms.

Authors :
Fernández Sare, Hugo D.
Liu, Zhuangyi
Racke, Reinhard
Source :
Journal of Differential Equations. Dec2019, Vol. 267 Issue 12, p7085-7134. 50p.
Publication Year :
2019

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
267
Issue :
12
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
138853483
Full Text :
https://doi.org/10.1016/j.jde.2019.07.015