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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| Language: | English |
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Elsevier
2024-12-01
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| Series: | MethodsX |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016124004679 |
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| author | Pascal H. Zinsou Guy Degla Khalil Ezzinbi |
| author_facet | Pascal H. Zinsou Guy Degla Khalil Ezzinbi |
| author_sort | Pascal H. Zinsou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a9b46b2c6abe4b34b2cd625cbc868896 |
| institution | OA Journals |
| issn | 2215-0161 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | MethodsX |
| spelling | doaj-art-a9b46b2c6abe4b34b2cd625cbc8688962025-08-20T02:30:43ZengElsevierMethodsX2215-01612024-12-011310301610.1016/j.mex.2024.103016Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983]Pascal H. Zinsou0Guy Degla1Khalil Ezzinbi2Institut De Mathematiques Et De Sciences Physiques (IMSP), 01 BP 613 PORTO-NOVO, BeninInstitut De Mathematiques Et De Sciences Physiques (IMSP), 01 BP 613 PORTO-NOVO, Benin; Corresponding author: Institut De Mathematiques Et De Sciences Physiques (IMSP), 01 BP 613 PORTO-NOVO, BeninUniversite Cardi Ayyad, Facultedes Sciences Semlalia, Departement De Mathematiques, B.P.2390, Marrakesh, MoroccoWe 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.http://www.sciencedirect.com/science/article/pii/S2215016124004679ThermoelasticityOperator maximal monotoneSemi-group of contraction |
| spellingShingle | Pascal H. Zinsou Guy Degla Khalil Ezzinbi Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983] MethodsX Thermoelasticity Operator maximal monotone Semi-group of contraction |
| title | Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983] |
| title_full | Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983] |
| title_fullStr | Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983] |
| title_full_unstemmed | Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983] |
| title_short | Corrigendum to “Quantitative and stability study of the evolution of a thermoelastic body” [MethodsX 10 (2023) 101983] |
| title_sort | corrigendum to quantitative and stability study of the evolution of a thermoelastic body methodsx 10 2023 101983 |
| topic | Thermoelasticity Operator maximal monotone Semi-group of contraction |
| url | http://www.sciencedirect.com/science/article/pii/S2215016124004679 |
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