Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws
In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied. Using the existing semi-group theory and energy method, the existence and uniqueness of weak global solution, as well as a stability result wit...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-10-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2023-0127 |
| _version_ | 1827793344978223104 |
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| author | Mukiawa Soh Edwin |
| author_facet | Mukiawa Soh Edwin |
| author_sort | Mukiawa Soh Edwin |
| collection | DOAJ |
| description | In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied. Using the existing semi-group theory and energy method, the existence and uniqueness of weak global solution, as well as a stability result without imposing any conditions on the coefficient parameters, are established. |
| first_indexed | 2024-03-11T18:17:15Z |
| format | Article |
| id | doaj.art-74d5b232e50d4e569cc8922431af4c88 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-03-11T18:17:15Z |
| publishDate | 2023-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-74d5b232e50d4e569cc8922431af4c882023-10-16T06:06:24ZengDe GruyterOpen Mathematics2391-54552023-10-0121174474610.1515/math-2023-0127Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal lawsMukiawa Soh Edwin0Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin 31991, Saudi ArabiaIn this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied. Using the existing semi-group theory and energy method, the existence and uniqueness of weak global solution, as well as a stability result without imposing any conditions on the coefficient parameters, are established.https://doi.org/10.1515/math-2023-0127timoshenko beamsuspenderscoleman-gurtingurtin-pipkinwell-posednessstability35b3535d3035d3535q7435k05 |
| spellingShingle | Mukiawa Soh Edwin Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws Open Mathematics timoshenko beam suspenders coleman-gurtin gurtin-pipkin well-posedness stability 35b35 35d30 35d35 35q74 35k05 |
| title | Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws |
| title_full | Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws |
| title_fullStr | Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws |
| title_full_unstemmed | Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws |
| title_short | Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws |
| title_sort | well posedness and stability analysis for timoshenko beam system with coleman gurtin s and gurtin pipkin s thermal laws |
| topic | timoshenko beam suspenders coleman-gurtin gurtin-pipkin well-posedness stability 35b35 35d30 35d35 35q74 35k05 |
| url | https://doi.org/10.1515/math-2023-0127 |
| work_keys_str_mv | AT mukiawasohedwin wellposednessandstabilityanalysisfortimoshenkobeamsystemwithcolemangurtinsandgurtinpipkinsthermallaws |