Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983]
We prove the existence and uniqueness of a solution to a system of equations describing the evolution of a linear thermoelastic body by using a semi-group method. Moreover, the uniform exponential stability of the solution is shown in a particular case. • With respect to the existence and uniqueness...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
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| Series: | MethodsX |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016124004679 |
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| Summary: | We prove the existence and uniqueness of a solution to a system of equations describing the evolution of a linear thermoelastic body by using a semi-group method. Moreover, the uniform exponential stability of the solution is shown in a particular case. • With respect to the existence and uniqueness of the solution, we have defined a linear operator which generates a contraction semigroup and show that it is monotone maximal. • With respect to the stability of the system, we have computed explicitly the expression of the solution of the system and show that the semigroup is uniformly exponentially stable in a particular case. |
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| ISSN: | 2215-0161 |