On the motion of a curve by its binormal curvature
Differential Geometry
2011-09-27 v1
Abstract
We propose a weak formulation for the binormal curvature flow of curves in This formulation is sufficiently broad to consider integral currents as initial data, and sufficiently strong for the weak-strong uniqueness property to hold, as long as self-intersections do not occur. We also prove a global existence theorem in that framework.
Keywords
Cite
@article{arxiv.1109.5483,
title = {On the motion of a curve by its binormal curvature},
author = {Robert L. Jerrard and Didier Smets},
journal= {arXiv preprint arXiv:1109.5483},
year = {2011}
}
Comments
27 pages, 8 figures