Sur l’équilibre des liquides magnétiques, application à la magnétostatique. (French) Zbl 0539.76119

Brancher, J. P.; Sero Guillaume, O.

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.

MSC:

76W05	Magnetohydrodynamics and electrohydrodynamics
49S05	Variational principles of physics (should also be assigned at least one other classification number in Section 49-XX)

Keywords:

Magnetic liquids; externally applied, constant magnetic fields; stable equilibria; free boundary; liquid metals; high frequency