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arXiv · 1109.5483

On the motion of a curve by its binormal curvature

Robert L. Jerrard·Didier Smets
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Abstract

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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Robert L. Jerrard, Didier Smets. 2011-09-26. On the motion of a curve by its binormal curvature. https://arxiv.org/abs/1109.5483

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