Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping
This paper concerns a linear porous thermoelastic system, where the heat conduction is given by Cattaneo’s law. By using the theory of the semigroup of the linear operator, the well-posedness is proven. By constructing some suitable multipliers, we establish exponential and polynomial decay rates of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/3116936 |
| _version_ | 1797792170604756992 |
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| author | Haiyan Li Baowei Feng |
| author_facet | Haiyan Li Baowei Feng |
| author_sort | Haiyan Li |
| collection | DOAJ |
| description | This paper concerns a linear porous thermoelastic system, where the heat conduction is given by Cattaneo’s law. By using the theory of the semigroup of the linear operator, the well-posedness is proven. By constructing some suitable multipliers, we establish exponential and polynomial decay rates of the system depending on a stability number π. In addition, we remove the assumption that the constant b is positive in the previous works, which extends some existing results in the literature. |
| first_indexed | 2024-03-13T02:29:21Z |
| format | Article |
| id | doaj.art-95e991f4b8cf4c82a70fa17ceed9b38d |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-03-13T02:29:21Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-95e991f4b8cf4c82a70fa17ceed9b38d2023-06-30T00:00:01ZengHindawi LimitedJournal of Function Spaces2314-88882023-01-01202310.1155/2023/3116936Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal DampingHaiyan Li0Baowei Feng1College of Mathematics and Information ScienceDepartment of MathematicsThis paper concerns a linear porous thermoelastic system, where the heat conduction is given by Cattaneo’s law. By using the theory of the semigroup of the linear operator, the well-posedness is proven. By constructing some suitable multipliers, we establish exponential and polynomial decay rates of the system depending on a stability number π. In addition, we remove the assumption that the constant b is positive in the previous works, which extends some existing results in the literature.http://dx.doi.org/10.1155/2023/3116936 |
| spellingShingle | Haiyan Li Baowei Feng Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping Journal of Function Spaces |
| title | Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping |
| title_full | Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping |
| title_fullStr | Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping |
| title_full_unstemmed | Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping |
| title_short | Exponential and Polynomial Decay Rates of a Porous Elastic System with Thermal Damping |
| title_sort | exponential and polynomial decay rates of a porous elastic system with thermal damping |
| url | http://dx.doi.org/10.1155/2023/3116936 |
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