Blow-up rates for the general curve shortening flow

Details Blow-up rates for the general curve shortening flow Blow-up rates for the general curve shortening flow

2009-08-13

arxiv.org/abs/0908.1885v2

Mathematics

Analysis of PDEs

12pages

Scientific paper

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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