Existence and regularity for eddy currents system with non-smooth conductivity
Analysis of PDEs
2020-02-05 v3
Abstract
We discuss the well-posedness of the 'transient eddy current' magneto-quasistatic approximation of Maxwell's initial value problem with bounded and measurable conductivity, with sources, on a domain. We prove existence and uniqueness of weak solutions, and we provide global Hoelder estimates for the magnetic part.
Keywords
Cite
@article{arxiv.1907.09875,
title = {Existence and regularity for eddy currents system with non-smooth conductivity},
author = {Elisa Francini and Giovanni Franzina and Sergio Vessella},
journal= {arXiv preprint arXiv:1907.09875},
year = {2020}
}