Exponential stability of Thermoelastic system with boundary time-varying delay
In this paper, we consider a Thermoelastic system with boundary time-varying delay. Under some appropriate assumptions, the global well-posedness and exponential stability are obtained by using the variable norm technique of Kato and the energy method respectively.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023001?viewType=HTML |
| _version_ | 1797955481568804864 |
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| author | Meng Hu Xiaona Cui Lingrui Zhang |
| author_facet | Meng Hu Xiaona Cui Lingrui Zhang |
| author_sort | Meng Hu |
| collection | DOAJ |
| description | In this paper, we consider a Thermoelastic system with boundary time-varying delay. Under some appropriate assumptions, the global well-posedness and exponential stability are obtained by using the variable norm technique of Kato and the energy method respectively. |
| first_indexed | 2024-04-10T23:33:49Z |
| format | Article |
| id | doaj.art-48e575b85b564e67988d8e0f6553683d |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-10T23:33:49Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-48e575b85b564e67988d8e0f6553683d2023-01-12T01:19:17ZengAIMS PressElectronic Research Archive2688-15942023-01-0131111610.3934/era.2023001Exponential stability of Thermoelastic system with boundary time-varying delayMeng Hu 0Xiaona Cui1Lingrui Zhang2Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaDepartment of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaDepartment of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaIn this paper, we consider a Thermoelastic system with boundary time-varying delay. Under some appropriate assumptions, the global well-posedness and exponential stability are obtained by using the variable norm technique of Kato and the energy method respectively.https://www.aimspress.com/article/doi/10.3934/era.2023001?viewType=HTMLthermoelastic systemtime-varying delayexponential stability |
| spellingShingle | Meng Hu Xiaona Cui Lingrui Zhang Exponential stability of Thermoelastic system with boundary time-varying delay Electronic Research Archive thermoelastic system time-varying delay exponential stability |
| title | Exponential stability of Thermoelastic system with boundary time-varying delay |
| title_full | Exponential stability of Thermoelastic system with boundary time-varying delay |
| title_fullStr | Exponential stability of Thermoelastic system with boundary time-varying delay |
| title_full_unstemmed | Exponential stability of Thermoelastic system with boundary time-varying delay |
| title_short | Exponential stability of Thermoelastic system with boundary time-varying delay |
| title_sort | exponential stability of thermoelastic system with boundary time varying delay |
| topic | thermoelastic system time-varying delay exponential stability |
| url | https://www.aimspress.com/article/doi/10.3934/era.2023001?viewType=HTML |
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