A lower bound for the energy decay rate in piezoelectricity

2025/01/20 by Khanh Chau Le, Le, Khanh Chau
Engineering · #Acoustic Wave Resonator Technologies #Advanced MEMS and NEMS Technologies #Classical Physics (physics.class-ph) #Electronic Packaging and Soldering Technologies #FOS: Physical sciences

paper · pdf · doi:10.48550/arxiv.2501.11227

openalex publication_date 2025/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Poincaré-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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