On well-posedness for a piezo-electromagnetic coupling model with boundary dynamics

DOI10.1515/cmam-2017-0005zbMath1388.35180arXiv1704.01816OpenAlexW3033404059MaRDI QIDQ1692723

Rainer Picard

Publication date: 10 January 2018

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01816

zbMATH Keywords

elasticityMaxwell's equationsHadamard well-posednessboundary data spacescoupled evolutionary equationsevo-systemLeontovich type boundary conditionpiezo-electro-magnetism

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Classical linear elasticity (74B05) Electromagnetic effects in solid mechanics (74F15) Electromagnetic theory (general) (78A25) Applications of functional analysis to differential and integral equations (46N20)

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Cites Work

• Partial differential equations. A unified Hilbert space approach
• On abstract grad-div systems
• Equations of high frequency vibrations of thermopiezoelectric crystal plates
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• On well-posedness for some thermo-piezoelectric coupling models
• Stabilization of a piezoelectric system
• A structural observation for linear material laws in classical mathematical physics
• On a comprehensive class of linear control problems
• Well-Posedness of Initial-Boundary Value Problems for Piezoelectric Equations
• PIEZOELECTRIC ULTRASONIC TRANSDUCERS WITH FRACTAL GEOMETRY

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