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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/3116936 |
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| Summary: | 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. |
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| ISSN: | 2314-8888 |