各向异性长度保持的加权各向异性曲率流

中文摘要 AI 辅助

本文研究了光滑凸闭平面曲线的各向异性长度保持的加权各向异性曲率流。对于任意光滑、嵌入、闭且凸的初始曲线，该流对所有时间光滑存在，并且当时间趋于无穷时，各向异性曲率光滑收敛到相应位似Wulff形状边界的各向异性曲率。

英文摘要

In this paper, we study the anisotropic-length-preserving weighted anisotropic curvature flow for smooth convex closed plane curves. For any smooth, embedded, closed, convex initial curve, the flow exists smoothly for all time, and the anisotropic curvature converges smoothly to that of the boundary of the corresponding homothetic Wulff shape as time tends to infinity.

发表机构

• South China Normal University（华南师范大学）

机构由 AI 辅助整理，请以论文原文为准。