A transient eddy current problem on a moving domain. Mathematical analysis

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URI: http://hdl.handle.net/10347/16892
ISSN: 0036-1410
E-ISSN: 1095-7154
DOI: 10.1137/130914425

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2013

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Society for Industrial and Applied Mathematics
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Abstract

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

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Electromagnetic forming| Transient eddy current problem| Axisymmetric problem| Degenerate parabolic problem| Moving domain

Bibliographic citation

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)

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- 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).

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© 2013 Society for Industrial and Applied Mathematics

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