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Variational approach of a magnetic shaping problem. (English) Zbl 0741.76089
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.

MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76M30 Variational methods applied to problems in fluid mechanics
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