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.
Existence and regularity for eddy current system with nonsmooth conductivity / Francini E., Franzina G., Vessella S.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 52:(2020), pp. 2134-2157. [10.1137/19M1276984]
Existence and regularity for eddy current system with nonsmooth conductivity
Francini E.;Vessella S.
2020
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.
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