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arXiv · 2305.09413

On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System

Andreas Buchinger·Michael Doherty
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Abstract

Based on a combination of insights afforded by Rainer Picard and Serge Nicaise, we extend a set of abstract piezo-electromagnetic impedance boundary conditions. We achieve this by accommodating for the influence of heat with the inclusion of a new equation and additional boundary terms. We prove the evolutionary well-posedness of a known thermo-piezo-electromagnetic system under these boundary conditions. Evolutionary well-posedness here means unique solvability as well as continuous and causal dependence on given data.

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Andreas Buchinger, Michael Doherty. 2023-05-16. On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System. https://doi.org/10.1007/978-3-031-64991-2_1

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