Geodesic
On the motion of a curve by its binormal curvature
Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1487-1515.

Voir la notice de l'article provenant de la source EMS Press

We propose a weak formulation for the binormal curvature flow of curves in R3. 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.
DOI : 10.4171/jems/536
Classification : 53-XX, 76-XX
Keywords: Binormal curvature flow, integral current, oriented varifold 
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     title = {On the motion of a curve by its binormal curvature},
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Robert L. Jerrard; Didier Smets. On the motion of a curve by its binormal curvature. Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1487-1515. doi : 10.4171/jems/536. http://geodesic.mathdoc.fr/articles/10.4171/jems/536/

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