A conserved quantity in thin body dynamics
Classical Physics
2016-02-17 v3 Soft Condensed Matter
Mathematical Physics
math.MP
Abstract
Thin, solid bodies with metric symmetries admit a restricted form of reparameterization invariance. Their dynamical equilibria include motions with both rigid and flowing aspects. On such configurations, a quantity is conserved along the intrinsic coordinate corresponding to the symmetry. As an example of its utility, this conserved quantity is combined with linear and angular momentum currents to construct solutions for the equilibria of a rotating, flowing string, for which it is akin to Bernoulli's constant.
Cite
@article{arxiv.1505.05828,
title = {A conserved quantity in thin body dynamics},
author = {J. A. Hanna and H. Pendar},
journal= {arXiv preprint arXiv:1505.05828},
year = {2016}
}
Comments
more small revisions, including to equations, and additional references