A Note on the Justification of the Eddy Current Model in Electrodynamics

TL;DR

This paper revisits the justification of the eddy current approximation in electrodynamics, demonstrating convergence of solution operators in the time-dependent Maxwell's equations setting.

Contribution

It provides a rigorous mathematical justification for the eddy current model by proving strong operator convergence in a time-dependent context.

Findings

Convergence of solution operators established

Eddy current approximation justified mathematically

Applicable to time-dependent Maxwell's equations

Abstract

The issue of justifying the eddy current approximation of Maxwell's equations is re-considered in the time-dependent setting. Convergence of the solution operators is shown in the sense of strong operator limits.