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Jan 11, 2015 at 1:06 comment added Deane Yang The curve shortening flow can be written as a nonlinear heat equation, and the continuous dependence on parameters of the solution to the initial value problem for short time follows from a priori estimates for the PDE.
Jan 11, 2015 at 0:48 comment added Joseph O'Rourke I would 1st check: Chou, Kai-Seng, and Xi-Ping Zhu. The Curve Shortening Problem. CRC Press, 2010. Unfortunately, I cannot investigate this reference now. My experience is that convergence is robust, but I realize you are seeking more than anecdotal evidence.
Jan 10, 2015 at 21:38 history asked Pablo Lessa CC BY-SA 3.0