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 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {Robert L. Jerrard and Didier Smets},
     title = {On the motion of a curve by its binormal curvature},
     journal = {Journal of the European Mathematical Society},
     pages = {1487--1515},
     year = {2015},
     volume = {17},
     number = {6},
     doi = {10.4171/jems/536},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/536/}
}
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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

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