Existence, uniqueness and regularity of piezoelectric partial differential equations

DOI10.1080/00036811.2021.1940971zbMath1498.35175arXiv1907.04555OpenAlexW3175742536WikidataQ115315955 ScholiaQ115315955MaRDI QIDQ5039371

Benjamin Jurgelucks, Veronika Schulze, Tom Lahmer

Publication date: 12 October 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04555

zbMATH Keywords

well-posednesspiezoelectricitysmart materialsmechanical-electrical coupling

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Uses Software

• FEniCS

Cites Work

• Stability and controllability of the electromagneto-elastic system
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• Smart Material Systems
• Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation
• Well-Posedness of Initial-Boundary Value Problems for Piezoelectric Equations
• A proof of the trace theorem of Sobolev spaces on Lipschitz domains
• PDE based determination of piezoelectric material tensors
• Existence, Uniqueness, and Regularity Results for Piezoelectric Systems
• A problem in control of elastodynamics with piezoelectric effects
• Partial differential equations. An application-oriented introduction
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