A non-local area preserving curve flow

Abstract

In this paper, we consider a kind of area preserving non-local flow for convex curves in the plane. We show that the flow exists globally, the length of evolving curve is non-increasing, and the curve converges to a circle in C^{\infty} sense as time goes into infinity.

14 pages

Cited by in corpus (2)

• On a General Linear Nonlocal Curvature Flow of Convex Plane Curves
• Nonlocal Flow of Convex Plane Curves and Isoperimetric Inequalities