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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
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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.

Peer review status:IN REVISION

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