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Geometric Analysis Seminar

Nonlocal Curvature Flows

Xiaoliu Wang: Southeast University in China and Rutgers University

Location:  Hill 705
Date & time: Tuesday, 07 February 2017 at 3:00PM - 3:11PM

In this talk, some nonlocal planar cuvature flows will be introduced, including the area-preserving flow and the length-preserving one, etc. The locally convex initial curve could be embedded or immersed. Some sharp conditions on immersed initial curves are established to yield the singularity of the flow at a finte time. In addition, the symmetry of curves are found to play an important role in the flow's evolution.

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