# On the motion of a curve by its binormal curvature

Jerrard, Robert L.; Didier Smets

Journal of the European Mathematical Society (2015)

- Volume: 017, Issue: 6, page 1487-1515
- ISSN: 1435-9855

## Access Full Article

top## Abstract

top## How to cite

topJerrard, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.