Existence and regularity for eddy current system with nonsmooth conductivity

Abstract
We discuss the well-posedness of the "transient eddy current" magneto-quasi-static approximation of Maxwell's initial value problem with bounded and measurable conductivity, with sources, on a domain. We prove the existence and uniqueness of weak solutions, and we provide global Hölder estimates for the magnetic part.
Anno
2020
Autori IAC
Tipo pubblicazione
Altri Autori
Francini E.; Franzina G.; Vessella S.
Editore
Society for Industrial and Applied Mathematics.
Rivista
SIAM journal on mathematical analysis (Print)