Stationary motion of a self gravitating toroidal incompressible liquid layer
Mathematical Physics
2015-06-03 v1 Dynamical Systems
math.MP
Abstract
We consider an incompressible fluid contained in a toroidal stratum which is only subjected to Newtonian self-attraction. Under the assumption of infinitesimal tickness of the stratum we show the existence of stationary motions during which the stratum is approximatly a round torus (with radii r, R and R>>r) that rotates around its axis and at the same time rolls on itself. Therefore each particle of the stratum describes an helix-like trajectory around the circumference of radius R that connects the centers of the cross sections of the torus.
Keywords
Cite
@article{arxiv.1201.3106,
title = {Stationary motion of a self gravitating toroidal incompressible liquid layer},
author = {Giorgio Fusco and Piero Negrini and Waldyr M. Oliva},
journal= {arXiv preprint arXiv:1201.3106},
year = {2015}
}