On the motion of a curve by its binormal curvature

Details On the motion of a curve by its binormal curvature On the motion of a curve by its binormal curvature

2011-09-26

arxiv.org/abs/1109.5483v1

Mathematics

Differential Geometry

27 pages, 8 figures

Scientific paper

We propose a weak formulation for the binormal curvature flow of curves in
$\R^3.$ 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.

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