As a singular counterpart to the Newton and Plateau equilibrium figures of rotating stars or drops, respectively, we investigate magnetic drops rotating in weakly nonhomogeneous fields. Existence and uniqueness of a familyof equilibrium figures near to the sphere is established.
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Klaus Beyer, Matthias Günther, On a Singular Perturbation Problem for Rotating Magnetic Fluids. Z. Anal. Anwend. 12 (1993), no. 1, pp. 69–92DOI 10.4171/ZAA/580