On the motion of a curve by its binormal curvature

被引：52

作者：

Jerrard, Robert L. ^{[1
]}

Smets, Didier ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2015年 / 17卷 / 06期

关键词：

Binormal curvature flow; integral current; oriented varifold; VORTEX FILAMENT; RECONNECTION; EQUATIONS; DYNAMICS;

D O I：

10.4171/JEMS/536

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1487 / 1515

页数：29

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