A lower bound for the energy decay rate in piezoelectricity

Khanh Chau Le

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arXiv · 2501.11227

A lower bound for the energy decay rate in piezoelectricity

Khanh Chau Le

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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.

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Khanh Chau Le. 2025-01-20. A lower bound for the energy decay rate in piezoelectricity. https://arxiv.org/abs/2501.11227

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