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Effect of the wave speeds on the decay rate of the thermoelastic structure in the whole line with interfacial slip
  • Veronica Poblete,
  • Octavio Vera Villagran,
  • Aissa Guesmia
Veronica Poblete
Universidad de Chile Facultad de Ciencias

Corresponding Author:[email protected]

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Octavio Vera Villagran
Universidad del Bio-Bio
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Aissa Guesmia
Universit\'e de Lorraine
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Abstract

In this work we the study of the asymptotic behavior in the whole line of a thermoelastic structure with interfacial slip and second sound. We prove several polynomial decay estimates depending on the smoothness of initial data. The proof is based on the semigroup approach, the energy method by introducing a Lyapunov functional and Fourier transform.
15 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
18 Sep 2020Submission Checks Completed
18 Sep 2020Assigned to Editor
27 Sep 2020Reviewer(s) Assigned
26 Feb 2021Review(s) Completed, Editorial Evaluation Pending
26 Feb 2021Editorial Decision: Revise Major
05 Mar 20211st Revision Received
05 Mar 2021Submission Checks Completed
05 Mar 2021Assigned to Editor
06 Mar 2021Reviewer(s) Assigned
12 Jun 2021Review(s) Completed, Editorial Evaluation Pending
12 Jun 2021Editorial Decision: Revise Minor
14 Jun 20212nd Revision Received
15 Jun 2021Submission Checks Completed
15 Jun 2021Assigned to Editor
15 Jun 2021Reviewer(s) Assigned
15 Jun 2021Review(s) Completed, Editorial Evaluation Pending
15 Jun 2021Editorial Decision: Revise Major
16 Jun 20213rd Revision Received
16 Jun 2021Submission Checks Completed
16 Jun 2021Assigned to Editor
17 Jun 2021Reviewer(s) Assigned
27 Jun 2021Review(s) Completed, Editorial Evaluation Pending
27 Jun 2021Editorial Decision: Accept