Quantitative and stability study of the evolution of a thermoelastic body.

Autor:	Zinsou PH; Institut De Mathematiques Et De Sciences Physiques (IMSP), 01 BP 613 PORTO-NOVO, Benin., Degla G; Institut De Mathematiques Et De Sciences Physiques (IMSP), 01 BP 613 PORTO-NOVO, Benin., Ezzinbi K; Universite cardi ayyad, facultedes sciences Semlalia, Departement de mathematiques, B.P.2390, Marrakesh, Morocco.
Jazyk:	angličtina
Zdroj:	MethodsX [MethodsX] 2022 Dec 23; Vol. 10, pp. 101983. Date of Electronic Publication: 2022 Dec 23 (Print Publication: 2023).
DOI:	10.1016/j.mex.2022.101983
Abstrakt:	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. Competing Interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. (© 2022 The Authors. Published by Elsevier B.V.)
Databáze:	MEDLINE
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