TY - JOUR
T1 - Stability of abstract thermoelastic systems with inertial terms
AU - Fernández Sare, Hugo D.
AU - Liu, Zhuangyi
AU - Racke, Reinhard
N1 - Publisher Copyright:
© 2019 Elsevier Inc.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/12/5
Y1 - 2019/12/5
N2 - 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.
AB - 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.
KW - Cattaneo law of heat conduction
KW - Exponential stability
KW - Fourier law of heat conduction
KW - General parameter system
KW - Inertial term
KW - Polynomial stability
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U2 - 10.1016/j.jde.2019.07.015
DO - 10.1016/j.jde.2019.07.015
M3 - Article
AN - SCOPUS:85069615114
SN - 0022-0396
VL - 267
SP - 7085
EP - 7134
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 12
ER -