摘要
This paper deals with a 1/κ <sup>α</sup> -type length-preserving nonlocal flow of convex closed plane curves for all α>0. Under this flow, the convexity of the evolving curve is preserved. For a global flow, it is shown that the evolving curve converges smoothly to a circle as t→∞. Some numerical blow-up examples and a sufficient condition leading to the global existence of the flow are also constructed.