mean_curvature_flow -回复 什么是平均曲率流(mean curvature flow)? 平均曲率流(mean curvature flow)是一种数学模型,用于描述曲面随着时间的演化过程。它是在1982年由数学家Richard Hamilton首次提出的。在平均曲率流的模型中,曲面上的每一点的演化速度与其平均曲率成正比。换句话说,曲面上的每个点都会以一个与...
网络平均曲率流 网络释义 1. 平均曲率流 反调和平... ... ) the mean curvature flow 平均曲率流 )mean curvature flow平均曲率流) contra-harmonic mean 反调和平均数 ... www.dictall.com|基于3个网页 释义: 全部,平均曲率流
M. Kazhdan, J. Solomon, and M. Ben-Chen. Can mean-curvature flow be made non-singular? arXiv:1203.6819v5 [math.DG], 2012.KSBC12] KAZHDAN M., SOLOMON J., BEN-CHEN M.: Can mean-curvature flow be made non-singular? In Proc. SGP (2012). 2, 3, 4, 5...
The mean curvature flow is an evolution process under which a submanifold deforms in the direction of its mean curvature vector. The hypersurface case has been much studied since the eighties. Recently, several theorems on regularity, global existence and convergence of the flow in various ambient...
mean-curvature flowsymplectic surfaceLet (M,g) be a Khler surface, and Σ an immersed surface in M. The Khler angle of Σ in M is introduced by Chern and Wolfson [Am. J. Math. 105 (1983) 59–83]. Let (M,g(t)) evolve along the Khler–Ricci flow, and Σt in (M,g(t))...
This paper investigates geometric properties and well-posedness of a mean curvature flow with volume-dependent forcing. With the class of forcing which bounds the volume of the evolving set away from zero and infinity, we show that a strong version of star-shapedness is preserved over time. ...
LECTURES ON MEAN CURVATURE FLOWROBERT HASLHOFERAbstract. A family of hypersurfaces evolves by mean curvatureflow if the velocity at each point is given by the mean curva-ture vector. Mean curvature flow is the most natural evolutionequation in extrinsic geometry, and has been extensively stud-ied...
Brakke’s mean curvature flow was first introduced in 1978 as a mathematical model describing the motion of grain boundaries in an annealing pure metal. The grain boundaries move by the mean curvature flow while retaining singularities such as triple junction points. By using a notion of ...
内容提示: INITIAL PERTURBATION OF THE MEAN CURVATURE FLOW FORCLOSED LIMIT SHRINKERAO SUN, JINXIN XUEAbstract. This is a contribution to the program of dynamical approach to mean curvaturef l ow initiated by Colding and Minicozzi. In this paper, we prove two main theorems. Thef i rst one is...
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