Bermúdez de Castro López-Varela, AlfredoMuñoz Sola, RafaelReales, CarlosRodríguez, RodolfoSalgado Rodríguez, María del Pilar2018-06-282018-06-282013Bermúdez, A., Muñoz-Sola, R., Reales, C., Rodríguez, R., Salgado, P.: A transient eddy current problem on a moving domain. Mathematical analysis. SIAM J. Math. Anal. 45, 3629–3650 (2013)0036-1410http://hdl.handle.net/10347/16892The aim of this paper is to introduce and analyze a weak formulation of the transient eddy current problem governing electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. Because of this, we have to resort to regularization arguments in order to prove its well-posedness. We also investigate additional regularity of the solutioneng© 2013 Society for Industrial and Applied MathematicsElectromagnetic formingTransient eddy current problemAxisymmetric problemDegenerate parabolic problemMoving domainA transient eddy current problem on a moving domain. Mathematical analysisjournal article10.1137/1309144251095-7154open access