On length-preserving and area-preserving anisotropic curvature flow of convex closed plane curves

被引：0
|
作者：
Liu, Lin [1 ]
Tsai, Dong-Ho [2 ]
Wang, Xiao-Liu [1 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 30013, Taiwan
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2025年 / 25卷 / 01期
关键词：
Curvature flow; Anisotropic; Long-time behaviour; Wulff shape; MULTIPHASE THERMOMECHANICS; INTERFACIAL STRUCTURE; PARABOLIC EQUATIONS; MOTION; EVOLUTION; SURFACES;
D O I：
10.1007/s00028-024-01035-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：24
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