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Slowly rotating drops

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Abstract

We study the existence of gyrostatic equilibria of slowly rotating liquid masses subject only to the force of surface tension. We give a rigorous proof of the existence of non-axisymmetric equilibria. The shape of such an equilibrium approximates a number of spherical lobes connected by thin necks and symmetrically arranged around the axis of rotation.

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  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Nicolaos Kapouleas

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  1. Nicolaos Kapouleas
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Communicated by S.-T. Yau

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Kapouleas, N. Slowly rotating drops. Commun.Math. Phys. 129, 139–159 (1990). https://doi.org/10.1007/BF02096783

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  • DOI: https://doi.org/10.1007/BF02096783

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