Decay rate of solution for a Lord‐Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping

In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord‐Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form in the case of absence of mechanical damping term.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2024-08-12
DOI
https://doi.org/10.1002/mma.10404
Citations
3
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
Field-Weighted Citation Impact
0.81
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article

Decay rate of solution for a Lord‐Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping

Abdelbaki Choucha, Rashid Jan, Rafik Guefaifia, Salah Boulaaras
3 citations
Mathematical Methods in the Applied Sciences
Thermoelastic and Magnetoelastic Phenomena
0.81
article

Decay rate of solution for a Lord‐Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping

Abdelbaki Choucha, Rashid Jan, Rafik Guefaifia, Salah Boulaaras
article en
3 citations

Abstract

In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord‐Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form in the case of absence of mechanical damping term.

Mathematical Methods in the Applied Sciences
Qassim University (SA), University of Ghardaia (DZ), Amar Telidji University of Laghouat (DZ), Universiti Tenaga Nasional (MY)
Affordable and clean energy
Openalex Percentile: Top 33%
Thermoelastic and Magnetoelastic Phenomena
0.81
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