Asymptotic stability for thermodiffusion Timoshenko systems of type III
In this article, we study a Timoshenko model with thermal and mass diffusion effects. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, where the heat conduction is given by Green and Naghdi, called thermoelasticity of type III. We obtain the stability of the...
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| Format: | Article |
| Language: | English |
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Texas State University
2025-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/77/abstr.html |
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| author | Jiali Qin Jianghao Hao |
| author_facet | Jiali Qin Jianghao Hao |
| author_sort | Jiali Qin |
| collection | DOAJ |
| description | In this article, we study a Timoshenko model with thermal and mass diffusion effects.
Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam,
where the heat conduction is given by Green and Naghdi, called thermoelasticity of
type III. We obtain the stability of the system using the perturbed energy method and
the system is exponentially stable when the wave speeds are equal.
In the case of unequal wave speeds, we demonstrate that the system lacks exponential
stability, and it is polynomially stable. These results indicate that the wave speed
has a significant impact on the stability of the system, and the transmission performance
of the system is better when the wave speeds are equal. |
| format | Article |
| id | doaj-art-6340669f4bf74e0ca371eea56900917f |
| institution | DOAJ |
| issn | 1072-6691 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj-art-6340669f4bf74e0ca371eea56900917f2025-08-20T03:06:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912025-07-01202577,119Asymptotic stability for thermodiffusion Timoshenko systems of type IIIJiali Qin0Jianghao Hao1 Shanxi Univ., Taiyuan, Shanxi, China Shanxi Univ., Taiyuan, Shanxi, China In this article, we study a Timoshenko model with thermal and mass diffusion effects. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, where the heat conduction is given by Green and Naghdi, called thermoelasticity of type III. We obtain the stability of the system using the perturbed energy method and the system is exponentially stable when the wave speeds are equal. In the case of unequal wave speeds, we demonstrate that the system lacks exponential stability, and it is polynomially stable. These results indicate that the wave speed has a significant impact on the stability of the system, and the transmission performance of the system is better when the wave speeds are equal.http://ejde.math.txstate.edu/Volumes/2025/77/abstr.htmltimoshenko systemexponentially stablepolynomially stableexponential stability thermodiffusion of type iii |
| spellingShingle | Jiali Qin Jianghao Hao Asymptotic stability for thermodiffusion Timoshenko systems of type III Electronic Journal of Differential Equations timoshenko system exponentially stable polynomially stable exponential stability thermodiffusion of type iii |
| title | Asymptotic stability for thermodiffusion Timoshenko systems of type III |
| title_full | Asymptotic stability for thermodiffusion Timoshenko systems of type III |
| title_fullStr | Asymptotic stability for thermodiffusion Timoshenko systems of type III |
| title_full_unstemmed | Asymptotic stability for thermodiffusion Timoshenko systems of type III |
| title_short | Asymptotic stability for thermodiffusion Timoshenko systems of type III |
| title_sort | asymptotic stability for thermodiffusion timoshenko systems of type iii |
| topic | timoshenko system exponentially stable polynomially stable exponential stability thermodiffusion of type iii |
| url | http://ejde.math.txstate.edu/Volumes/2025/77/abstr.html |
| work_keys_str_mv | AT jialiqin asymptoticstabilityforthermodiffusiontimoshenkosystemsoftypeiii AT jianghaohao asymptoticstabilityforthermodiffusiontimoshenkosystemsoftypeiii |