Article ID Journal Published Year Pages File Type
7222055 Nonlinear Analysis: Real World Applications 2018 8 Pages PDF
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 t→+∞.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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