On length-preserving and area-preserving anisotropic curvature flow of convex closed plane curves
摘要
The area-preserving flow and the length-preserving flow with the power of anisotropic curvature as their velocity are studied in this paper. For embedded convex closed initial curves, both of the area-preserving flow and the length-preserving flow are shown to exist globally and converge smoothly to the boundary of the homothety of Wulff shape, which is determined by corresponding anisotropic function.