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Distance comparison principles for curve shortening flows

Jonathan J. Zhu
Wednesday, April 5, 2023 - 4:00pm to 5:00pm
PDL C-38

For closed curves evolving by their curvature, the theorem of Gage-Hamilton and Grayson establishes that an embedded curve contracts to a round point. An efficient proof was later found by Huisken, with improvements by Andrews-Bryan, which uses multi-point maximum principle techniques. We’ll discuss the use of these techniques in other settings, particularly for the long-time behaviour of curve shortening flow with free boundary.

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