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Anisotropic-Length-Preserving Weighted Anisotropic Curvature Flows

Year: 2026

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.24431

Authors: Liu, Zhishuai, Wei, Guoxin

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214016332

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