Exponencial stability of the energy in Naghdi shell model with localized internal dissipation and internal exact controllability

In this work we study the exponential stability of the energy associated with a Naghdi's shell model with localized internal dissipation. Using several tools from Riemannian Geometry we show the well possedness of the model, via semigroup theory, and obtain observability inequalities which allo...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2024-09, Vol.537 (1), p.128314, Article 128314
Main Authors: Rodriguez Carranza, Alexis, Martínez León, Víctor Arturo, Ponte Bejarano, José Luis, Ponte Bejarano, Juan Carlos
Format: Article
Language:English
Subjects:
Internal controllability
Naghdi shell
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Summary:In this work we study the exponential stability of the energy associated with a Naghdi's shell model with localized internal dissipation. Using several tools from Riemannian Geometry we show the well possedness of the model, via semigroup theory, and obtain observability inequalities which allows us to prove the exponential decay of the total energy. As a consequence then we use Russell Principle to obtain exact controllability.
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.128314