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The blow up analysis of the general curve shortening flow

Analysis of PDEs 2009-11-16 v2 Differential Geometry

Abstract

It is shown that the curvature function satisfies a nonlinear evolution equation under the general curve shortening flow and a detailed asymptotic behavior of the closed curves is presented when they contract to a point in finite time.

Keywords

Cite

@article{arxiv.0908.2036,
  title  = {The blow up analysis of the general curve shortening flow},
  author = {RongLi Huang and JiGuang Bao},
  journal= {arXiv preprint arXiv:0908.2036},
  year   = {2009}
}

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23pages