On Well-Posedness for a Piezo-Electromagnetic Coupling Model with Boundary Dynamics
Analysis of PDEs
2017-04-07 v1
Abstract
We consider a coupled system of Maxwell's equations and the equations of elasticity, which is commonly used to model piezo-electric material behavior. The boundary influence is encoded as a separate dynamics on the boundary data spaces coupled to the partial differential equations. Evolutionary well-posedness, i.e. Hadamard well-posedness and causal dependence on the data, is shown for the resulting model system.
Cite
@article{arxiv.1704.01816,
title = {On Well-Posedness for a Piezo-Electromagnetic Coupling Model with Boundary Dynamics},
author = {Rainer Picard},
journal= {arXiv preprint arXiv:1704.01816},
year = {2017}
}