Blow-up rates for the general curve shortening flow

作者：Huang, R. L.^*

来源：Journal of Mathematical Analysis and Applications, 2011, 383(2): 482-489.

DOI：10.1016/j.jmaa.2011.05.039

• The general curve shortening flow
• Young inequality
• Wirtinger inequality
• Sobolev inequality

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 R(2).

• 出版日期2011-11-15
• 单位广西师范大学