On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System
arXiv:2305.09413 · doi:10.1007/978-3-031-64991-2_1
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.
22 pages