学术报告

Nonlocal Power-type Curvature Flows of Immersed Locally Convex Curves

阅读次数:52

题目:Nonlocal Power-type Curvature Flows of Immersed Locally Convex Curves
报告人:王小六 副教授 (东南大学)
地点:致远楼103室
时间:2019年5月17日15:30-16:30
Abstract: We provide sufficient conditions on an initial curve for the area preserving and the length preserving curvature flows of curves in the plane, to develop a singularity at some finite time or converge to an m-fold circle as time goes to infinity. For the area preserving flow, the positivity of the enclosed algebraic area determines whether the curvature blows up in a finite time or not, while for the length preserving curvature flow, it is the positivity of an energy associated with initial curve that plays such a rule.

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