Knotted vortex filaments in an ideal fluid
Knotted vortex filaments in an ideal fluid
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DOI：
10.1017/s0022112090001732
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发表时间：
1990-02
影响因子：
3.7
通讯作者：
J. Keener
中科院分区：
文献类型：
--
作者：
J. Keener
研究了自诱导涡运动方程的纽结闭曲线解。它表明，有不变的环面结的平移和旋转的刚体。一般运动的“小振幅”环面结和迭代（有线）环面结的描述和发现几乎是周期性的时间，和一些，但不是所有的，初始数据，结的拓扑结构是不变的。
Knotted closed-curve solutions of the equation of self-induced vortex motion are studied. It is shown that there are invariant torus knots which translate and rotate as rigid bodies. The general motion of ‘small-amplitude’ torus knots and iterated (cabled) torus knots is described and found to be almost periodic in time, and for some, but not all, initial data, the topology of the knot is shown to be invariant.