Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222055 | Nonlinear Analysis: Real World Applications | 2018 | 8 Pages |
Abstract
In this paper we define a one parameter family of curve flows in the plane connecting a type of area-preserving to length-preserving curve flows. When the initial curve is closed and convex, we show that along the flows the length of the curve is non-increasing while the enclosed area is non-decreasing. We show that the solutions exist for all time and converge to a circle in C0 norm when tâ+â.
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Authors
Hongxin Guo, Zezhen Sun,