Quantitative and stability study of the evolution of a thermoelastic body

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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Detalles Bibliográficos
Autores principales: Zinsou, Pascal H., Degla, Guy, Ezzinbi, Khalil
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Method Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9826895/
https://www.ncbi.nlm.nih.gov/pubmed/36632601
http://dx.doi.org/10.1016/j.mex.2022.101983
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author Zinsou, Pascal H.
Degla, Guy
Ezzinbi, Khalil
author_facet Zinsou, Pascal H.
Degla, Guy
Ezzinbi, Khalil
author_sort Zinsou, Pascal H.
collection PubMed
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 semi-group 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 semi-group is uniformly exponentially stable in a particular case.
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spelling pubmed-98268952023-01-10 Quantitative and stability study of the evolution of a thermoelastic body Zinsou, Pascal H. Degla, Guy Ezzinbi, Khalil MethodsX Method Article 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 semi-group 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 semi-group is uniformly exponentially stable in a particular case. Elsevier 2022-12-23 /pmc/articles/PMC9826895/ /pubmed/36632601 http://dx.doi.org/10.1016/j.mex.2022.101983 Text en © 2022 The Authors. Published by Elsevier B.V. https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Method Article
Zinsou, Pascal H.
Degla, Guy
Ezzinbi, Khalil
Quantitative and stability study of the evolution of a thermoelastic body
title Quantitative and stability study of the evolution of a thermoelastic body
title_full Quantitative and stability study of the evolution of a thermoelastic body
title_fullStr Quantitative and stability study of the evolution of a thermoelastic body
title_full_unstemmed Quantitative and stability study of the evolution of a thermoelastic body
title_short Quantitative and stability study of the evolution of a thermoelastic body
title_sort quantitative and stability study of the evolution of a thermoelastic body
topic Method Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9826895/
https://www.ncbi.nlm.nih.gov/pubmed/36632601
http://dx.doi.org/10.1016/j.mex.2022.101983
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