On the motion of a curve by its binormal curvature

Jerrard, Robert L., and Smets, Didier. "On the motion of a curve by its binormal curvature." Journal of the European Mathematical Society 017.6 (2015): 1487-1515. <http://eudml.org/doc/277229>.

@article{Jerrard2015,
abstract = {We propose a weak formulation for the binormal curvature flow of curves in $\mathbb \{R\}^3$. 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.},
author = {Jerrard, Robert L., Smets, Didier},
journal = {Journal of the European Mathematical Society},
keywords = {binormal curvature flow; integral current; oriented varifold; binormal curvature flow; integral current, oriented varifold},
language = {eng},
number = {6},
pages = {1487-1515},
publisher = {European Mathematical Society Publishing House},
title = {On the motion of a curve by its binormal curvature},
url = {http://eudml.org/doc/277229},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Jerrard, Robert L.
AU - Smets, Didier
TI - On the motion of a curve by its binormal curvature
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 6
SP - 1487
EP - 1515
AB - We propose a weak formulation for the binormal curvature flow of curves in $\mathbb {R}^3$. 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.
LA - eng
KW - binormal curvature flow; integral current; oriented varifold; binormal curvature flow; integral current, oriented varifold
UR - http://eudml.org/doc/277229
ER -