Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping
In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponent...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2023-05-01
|
| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/full |
| _version_ | 1797823616338886656 |
|---|---|
| author | Soh Edwin Mukiawa Yasir Khan Hamdan Al Sulaimani McSylvester Ejighikeme Omaba Cyril Dennis Enyi |
| author_facet | Soh Edwin Mukiawa Yasir Khan Hamdan Al Sulaimani McSylvester Ejighikeme Omaba Cyril Dennis Enyi |
| author_sort | Soh Edwin Mukiawa |
| collection | DOAJ |
| description | In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponential stability result. The results are obtained without imposing the equal-wave speed of propagation condition.2010 MSC: 35D30, 35D35, 35B35. |
| first_indexed | 2024-03-13T10:26:32Z |
| format | Article |
| id | doaj.art-21609b1646bd482496edf323c4743bbc |
| institution | Directory Open Access Journal |
| issn | 2297-4687 |
| language | English |
| last_indexed | 2024-03-13T10:26:32Z |
| publishDate | 2023-05-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj.art-21609b1646bd482496edf323c4743bbc2023-05-19T05:46:28ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872023-05-01910.3389/fams.2023.11530711153071Thermal Timoshenko beam system with suspenders and Kelvin–Voigt dampingSoh Edwin MukiawaYasir KhanHamdan Al SulaimaniMcSylvester Ejighikeme OmabaCyril Dennis EnyiIn the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponential stability result. The results are obtained without imposing the equal-wave speed of propagation condition.2010 MSC: 35D30, 35D35, 35B35.https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/fullTimoshenkothermoelasticitysuspendersCattaneo's lawKelvin–Voigtwell-posedness |
| spellingShingle | Soh Edwin Mukiawa Yasir Khan Hamdan Al Sulaimani McSylvester Ejighikeme Omaba Cyril Dennis Enyi Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping Frontiers in Applied Mathematics and Statistics Timoshenko thermoelasticity suspenders Cattaneo's law Kelvin–Voigt well-posedness |
| title | Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping |
| title_full | Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping |
| title_fullStr | Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping |
| title_full_unstemmed | Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping |
| title_short | Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping |
| title_sort | thermal timoshenko beam system with suspenders and kelvin voigt damping |
| topic | Timoshenko thermoelasticity suspenders Cattaneo's law Kelvin–Voigt well-posedness |
| url | https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/full |
| work_keys_str_mv | AT sohedwinmukiawa thermaltimoshenkobeamsystemwithsuspendersandkelvinvoigtdamping AT yasirkhan thermaltimoshenkobeamsystemwithsuspendersandkelvinvoigtdamping AT hamdanalsulaimani thermaltimoshenkobeamsystemwithsuspendersandkelvinvoigtdamping AT mcsylvesterejighikemeomaba thermaltimoshenkobeamsystemwithsuspendersandkelvinvoigtdamping AT cyrildennisenyi thermaltimoshenkobeamsystemwithsuspendersandkelvinvoigtdamping |