Internal exact controllability for nagdhi shell
Analysis of PDEs
2023-08-24 v1 Mathematical Physics
math.MP
Abstract
In this work we study the exponential stability of the energy associated with a Naghdi 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 to prove the exponential decay of the total energy. As a consequence then we use Russell Principle for obtain exact controllability.
Cite
@article{arxiv.2308.11889,
title = {Internal exact controllability for nagdhi shell},
author = {Alexis Rodriguez Carranza and Jose Luis Ponte Bejarano and Juan Carlos Ponte Bejarano},
journal= {arXiv preprint arXiv:2308.11889},
year = {2023}
}