Linear interpolation on $$k^{\alpha }$$ k α -type area-preserving and length-preserving curve flows
Linear interpolation on $$k^{\alpha }$$ k α -type area-preserving and length-preserving curve flows
复制标题
DOI：
10.1007/s00605-022-01809-8
复制
发表时间：
2022-12
期刊：
影响因子：
--
通讯作者：
Hongxin Guo;S. Zhu
中科院分区：
文献类型：
--
作者：
Hongxin Guo;S. Zhu
In this note we consider a family of flows of convex and closed plane curves which interpolates the area-preserving and the length-preserving flows of Tsai and Wang. When the initial curve is convex, the flow exists for alland the convexity is preserved. The length is non-increasing while the enclosed area is non-decreasing during the process. When time goes to infinity, the isoperimetric deficit converges to 0 exponentially fast. As a consequence, the ratio of the inradius and circumradius converges to 1 exponentially fast.
