Stability result for a thermoelastic Bresse system with delay term in the internal feedback

Lamine Bouzettouta; Sabah Baibeche; Manel Abdelli; Amar Guesmia

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 3, page 409-434
  • ISSN: 0862-7959

Abstract

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The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first considered by A. Keddi, T. Apalara, S. A. Messaoudi in 2018.

How to cite

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Bouzettouta, Lamine, et al. "Stability result for a thermoelastic Bresse system with delay term in the internal feedback." Mathematica Bohemica 148.3 (2023): 409-434. <http://eudml.org/doc/299114>.

@article{Bouzettouta2023,
abstract = {The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first considered by A. Keddi, T. Apalara, S. A. Messaoudi in 2018.},
author = {Bouzettouta, Lamine, Baibeche, Sabah, Abdelli, Manel, Guesmia, Amar},
journal = {Mathematica Bohemica},
keywords = {Bresse system; delay; decay rate; energy method; semigroup method; thermoelastic},
language = {eng},
number = {3},
pages = {409-434},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stability result for a thermoelastic Bresse system with delay term in the internal feedback},
url = {http://eudml.org/doc/299114},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Bouzettouta, Lamine
AU - Baibeche, Sabah
AU - Abdelli, Manel
AU - Guesmia, Amar
TI - Stability result for a thermoelastic Bresse system with delay term in the internal feedback
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 3
SP - 409
EP - 434
AB - The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first considered by A. Keddi, T. Apalara, S. A. Messaoudi in 2018.
LA - eng
KW - Bresse system; delay; decay rate; energy method; semigroup method; thermoelastic
UR - http://eudml.org/doc/299114
ER -

References

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