曲线在球体上的弹性流动

A. Dall'Acqua, Tim Laux, Lin, Paola Pozzi, A. Spener
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引用次数: 19

摘要

考虑有和没有长度惩罚的弹性能l2梯度流在球上运动的闭曲线,显示了流的短时间存在和长时间存在。此外,当长度被惩罚时,我们证明了对临界点的次收敛。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The elastic flow of curves on the sphere
Abstract We consider closed curves on the sphere moving by the L2-gradient flow of the elastic energy both with and without penalisation of the length and show short-time and long-time existence of the flow. Moreover, when the length is penalised, we prove sub-convergence to critical points.
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