PreprintarXiv licencearXiv
Anisotropic-Length-Preserving Weighted Anisotropic Curvature Flows
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.
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BibTeX
@misc{liu2026anisotropiclengthpreserving,
title = {{Anisotropic-Length-Preserving Weighted Anisotropic Curvature Flows}},
author = {Zhishuai Liu and Guoxin Wei},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24431},
eprint = {2609.24431},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24431},
}
RIS
TY - UNPB
TI - Anisotropic-Length-Preserving Weighted Anisotropic Curvature Flows
AU - Zhishuai Liu
AU - Guoxin Wei
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24431
UR - https://arxiv.org/abs/2609.24431
AB - 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.
ER -