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Zeitschrift für Analysis und ihre Anwendungen


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Volume 6, Issue 6, 1987, pp. 517–528
DOI: 10.4171/ZAA/269

Published online: 1987-12-31

Die Bevorzugung hexagonaler Strukturen bei symmetrischen Oberflächenformen magnetischer Flüssigkeiten

Karin Quasthoff

A magnetic ideal fluid under the influence of a vertical homogeneous magnetic field is considered. Over rhombic lattices with arbitrary angle equilibrium configurations of the free surface are determined. Especially, for some lattice length $l_c$ the bifurcation equations are solved and over regular hexagonal lattices with lattice length $I > l_c$ solutions of the bifurcation equations are given. The regular hexagonal structures, in an interval depending on physical parameters, have smallest energy.

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Quasthoff Karin: Die Bevorzugung hexagonaler Strukturen bei symmetrischen Oberflächenformen magnetischer Flüssigkeiten. Z. Anal. Anwend. 6 (1987), 517-528. doi: 10.4171/ZAA/269