Brancher, J. P.; Sero Guillaume, O. Sur l’équilibre des liquides magnétiques, application à la magnétostatique. (French) Zbl 0539.76119 J. Méc. Théor. Appl. 2, 265-283 (1983). Summary: Magnetic liquids can be shaped by externally applied, constant magnetic fields. The study of stable equilibria is done in the way of a variational principle which leads to local conditions on the free boundary. The results are applied to liquid metals submitted to high frequency magnetic fields. Cited in 3 Documents MSC: 76W05 Magnetohydrodynamics and electrohydrodynamics 49S05 Variational principles of physics Keywords:Magnetic liquids; externally applied, constant magnetic fields; stable equilibria; free boundary; liquid metals; high frequency PDF BibTeX XML Cite \textit{J. P. Brancher} and \textit{O. Sero Guillaume}, J. Méc. Théor. Appl. 2, 265--283 (1983; Zbl 0539.76119) OpenURL