On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System
Analysis of PDEs
2024-12-30 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2305.09413,
title = {On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System},
author = {Andreas Buchinger and Michael Doherty},
journal= {arXiv preprint arXiv:2305.09413},
year = {2024}
}
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22 pages