Calculus of Variations and Geometric Measure Theory

E. Francini - G. Franzina - S. Vessella

Existence and Regularity of Eddy Currents System with non-smooth conductivity

created by franzina on 24 Jan 2020
modified on 07 May 2021


Published Paper

Inserted: 24 jan 2020
Last Updated: 7 may 2021

Journal: SIAM Journ. of Math. Analysis
Year: 2020


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 Hölder estimates for the magnetic part.