Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

被引：0

作者：

Guan, Pengfei ^{[1
]}

Huang, Jiuzhou ^{[2
]}

Liu, Jiawei ^{[3
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada

[2] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

[3] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2024年 / 24卷 / 01期

关键词：

contracting curvature flow; convex hypersurfaces; CURVATURE; MOTION;

D O I：

10.1515/ans-2022-0077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in R n + 1, and prove the existence and regularity of the flow before extincting to a point in finite time.

引用

页码：141 / 154

页数：14

共 50 条

[21] Transportation of closed differential forms with non-homogeneous convex costs
Dacorogna, Bernard
Gangbo, Wilfrid
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (04)
[22] On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in a", N+1
Wu, Qingyan
CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 31 (02) : 201 - 210
[23] Global hypersurfaces of section for geodesic flows on convex hypersurfaces
Cho, Sunghae
Lee, Dongho
ARCHIV DER MATHEMATIK, 2024, 123 (03) : 291 - 307
[24] Numerical approximation of non-homogeneous, non-convex vector variational problems
Aranda, E
Pedregal, P
NUMERISCHE MATHEMATIK, 2001, 89 (03) : 425 - 444
[25] On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in ℂN+1
Qingyan Wu
Chinese Annals of Mathematics, Series B, 2010, 31 : 201 - 210
[26] On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in CN+1
Qingyan WU Department of Mathematics
Department of Mathematics
Chinese Annals of Mathematics,Series B, 2010, (02) : 201 - 210
[27] Numerical approximation of non-homogeneous, non-convex vector variational problems
Ernesto Aranda
Pablo Pedregal
Numerische Mathematik, 2001, 89 : 425 - 444
[28] Nonlinear vibration of a traveling belt with non-homogeneous boundaries
Ding, Hu
Lim, C. W.
Chen, Li-Qun
JOURNAL OF SOUND AND VIBRATION, 2018, 424 : 78 - 93
[29] On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation
El-Tawil, Magdy A.
Nasr, Sherif E.
El Zoheiry, H.
WORLD CONGRESS ON ENGINEERING - WCE 2013, VOL I, 2013, : 42 - +
[30] Langevin models for non-homogeneous turbulent flows: Determination of the coefficients
Sarnitsky, G.
Heinz, S.
EPL, 2020, 132 (01)

← 1 2 3 4 5 →