zbMATH — the first resource for mathematics

Formage d’une lame métallique liquide. Calculs et expériences (Shaping of a ribbon of liquid metal. Computations and experiments). (French) Zbl 0564.76119
A molten liquid column, placed in a magnetic field which is uniform at infinity, stretches itself along the field lines. The shape of the cross- section realizes the minimum of a functional in which the energy due to the surface tension and the magnetic energy appear. The variational method used is simple and involves the minimization of a convex function of several real variables. The results obtained are compared with some experimental results achieved with mercury.

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