RT Journal Article
T1 A transient eddy current problem on a moving domain. Mathematical analysis
A1 Bermúdez de Castro López-Varela, Alfredo
A1 Muñoz Sola, Rafael
A1 Reales, Carlos
A1 Rodríguez, Rodolfo
A1 Salgado Rodríguez, María del Pilar
K1 Electromagnetic forming
K1 Transient eddy current problem
K1 Axisymmetric problem
K1 Degenerate parabolic problem
K1 Moving domain
AB The 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 solution
PB Society for Industrial and Applied Mathematics
SN 0036-1410
YR 2013
FD 2013
LK http://hdl.handle.net/10347/16892
UL http://hdl.handle.net/10347/16892
LA eng
NO Bermúdez, 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)
NO - Xunta de Galicia under research projects INCITE09 207 047 PR and INCITE09 291 083 PR,  - Ministerio de Ciencia e Innovación (Spain) under research projects Consolider MATHEMATICA CSD2006-00032,  MTM2008-02483 and MTM2009-07749. - MECESUP fellowship (Chile). - BASAL project, CMM, Universidad de Chile (Chile), Anillo ANANUM, ACT1118, CONICYT (Chile).
DS Minerva
RD 28 abr 2026