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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/3116936 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547933672701952 |
|---|---|
| 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. |
| format | Article |
| id | doaj-art-95e991f4b8cf4c82a70fa17ceed9b38d |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-95e991f4b8cf4c82a70fa17ceed9b38d2025-02-03T06:42:57ZengWileyJournal 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 |
| work_keys_str_mv | AT haiyanli exponentialandpolynomialdecayratesofaporouselasticsystemwiththermaldamping AT baoweifeng exponentialandpolynomialdecayratesofaporouselasticsystemwiththermaldamping |