Crouzeix, M. Variational approach of a magnetic shaping problem. (English) Zbl 0741.76089 Eur. J. Mech, B 10, No. 5, 527-536 (1991). Summary: For a problem of electromagnetic casting in the absence of surface tension, we make a study of the minimization of an energy functional. We prove the existence and global Lipschitz-continuity of a magnetic potential which minimizes this functional. Cited in 13 Documents MSC: 76W05 Magnetohydrodynamics and electrohydrodynamics 76M30 Variational methods applied to problems in fluid mechanics Keywords:electromagnetic casting; minimization; energy functional; existence; global Lipschitz-continuity; magnetic potential PDFBibTeX XMLCite \textit{M. Crouzeix}, Eur. J. Mech., B 10, No. 5, 527--536 (1991; Zbl 0741.76089)