Equilibrium Shapes of Cylindrical Rotating Liquid Drops
arXiv:1404.2976
Abstract
See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the vertical axis. We restrict ourselves here to surfaces which are cylinders over a curve in a horizontal plane. We describe the moduli space of the set of solutions which includes numerous properly immersed and embedded examples. We also analyze the stability of these cylindrical surfaces.
22 pages. arXiv admin note: substantial text overlap with arXiv:1403.6362