Blow-up rates for the general curve shortening flow

Rongli Huang; Juanjuan Chen

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arXiv · 0908.1885

Blow-up rates for the general curve shortening flow

Rongli Huang·Juanjuan Chen

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Abstract

The blow-up rates of derivatives of the curvature function will be presented when the closed curves contract to a point in finite time under the general curve shortening flow. In particular, this generalizes a theorem of M.E. Gage and R.S. Hamilton about mean curvature flow in $\mathbb{R}^{2}$.

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Rongli Huang, Juanjuan Chen. 2010-01-19. Blow-up rates for the general curve shortening flow. https://arxiv.org/abs/0908.1885

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