A lower bound for the energy decay rate in piezoelectricity
Classical Physics
2025-01-22 v1
Abstract
This paper establishes a lower bound for the energy decay rate in piezoelectric cylinders. The bound incorporates material properties and geometric factors, including the cross-section's Poincar\'e-Wirtinger and Korn constants. A detailed analysis of a circular cross-section cylinder yields a precise numerical lower bound, illustrating the practical application of this result.
Cite
@article{arxiv.2501.11227,
title = {A lower bound for the energy decay rate in piezoelectricity},
author = {Khanh Chau Le},
journal= {arXiv preprint arXiv:2501.11227},
year = {2025}
}
Comments
16 pages