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Uniform decay rates of a Bresse thermoelastic system in the whole space
  • Mounir Afilal,
  • Baowei Feng,
  • Abdelaziz Soufyane
Mounir Afilal
Universite Cadi Ayyad

Corresponding Author:[email protected]

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Baowei Feng
Southwestern University of Finance and Economics
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Abdelaziz Soufyane
University of Sharjah
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In this paper, we investigate the decay properties of the thermoelastic Bresse system in the whole space. We consider many cases depending on the parameters of the model and we establish new decay rates. We need to mention here that, in some cases we don't have the regularity-loss phenomena as in the previous works in the literature. To prove our results, we use the energy method in the Fourier space to build a very delicate Lyapunov functionals that give the desired results.
21 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
23 Sep 2021Submission Checks Completed
23 Sep 2021Assigned to Editor
30 Sep 2021Reviewer(s) Assigned
22 Jan 2022Review(s) Completed, Editorial Evaluation Pending
24 Jan 2022Editorial Decision: Revise Major
01 Apr 20221st Revision Received
04 Apr 2022Submission Checks Completed
04 Apr 2022Assigned to Editor
07 Apr 2022Reviewer(s) Assigned
19 Apr 2022Review(s) Completed, Editorial Evaluation Pending
20 Apr 2022Editorial Decision: Accept
10 May 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8362