ON A PERIMETER-PRESERVING PLANE CURVE FLOW

被引：1

作者：

Pan ShengliangDept. of Math.

机构：

来源：

AppliedMathematics:AJournalofChineseUniversities | 2001年 / 04期

关键词：

Convex curve; curve flow; perimeter preserving;

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

摘要：

The purpose of this paper is to investigate a new type of evolution problem for closed convex plane curves which will preserves the perimeter of the curve but expands the enclosed area and the final limiting curve is a circle in the Hausdorff metric in the plane.

引用

页码：409 / 417

页数：9

共 50 条

[1] On a perimeter-preserving plane curve flow
Pan S.
Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (4) : 409 - 417
[2] On a perimeter-preserving crystalline flow
Pan, Shengliang
Zhang, Yanlong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (03) : 1944 - 1962
[3] On a non-local perimeter-preserving curve evolution problem for convex plane curves
Shengliang Pan
Juanna Yang
manuscripta mathematica, 2008, 127 : 469 - 484
[4] On a non-local perimeter-preserving curve evolution problem for convex plane curves
Pan, Shengliang
Yang, Juanna
MANUSCRIPTA MATHEMATICA, 2008, 127 (04) : 469 - 484
[5] EVOLVING CONVEX CURVES TO CONSTANT-WIDTH ONES BY A PERIMETER-PRESERVING FLOW
Gao, Laiyuan
Pan, Shengliang
PACIFIC JOURNAL OF MATHEMATICS, 2014, 272 (01) : 131 - 145
[6] Evolving convex curves to constant k-order width ones by a perimeter-preserving flow
Fang, Jianbo
MANUSCRIPTA MATHEMATICA, 2018, 157 (1-2) : 247 - 256
[7] Evolving convex curves to constant k-order width ones by a perimeter-preserving flow
Jianbo Fang
manuscripta mathematica, 2018, 157 : 247 - 256
[8] Automorphisms of the plane preserving a curve
Blanc, Jeremy
Stampfli, Immanuel
ALGEBRAIC GEOMETRY, 2015, 2 (02): : 193 - 213
[9] A CONVEXITY-PRESERVING AND PERIMETER-DECREASING PARAMETRIC FINITE ELEMENT METHOD FOR THE AREA-PRESERVING CURVE SHORTENING FLOW
Jiang, Wei
Su, Chunmei
Zhang, Ganghui
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2023, 61 (04) : 1989 - 2010
[10] SOME REMARKS ABOUT THE AREA-PRESERVING CONVEX CURVE FLOW IN THE PLANE
Pi LingDept.of Math.
AppliedMathematics:AJournalofChineseUniversities, 2004, (04) : 417 - 428

← 1 2 3 4 5 →