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Mathematics > Analysis of PDEs

arXiv:2310.02890v1 (math)
[Submitted on 4 Oct 2023 ]

Title: Singularities of the network flow with symmetric initial data

Title: 网络流的奇点与对称初始数据

Authors:Matteo Novaga, Luciano Sciaraffia
Abstract: We study the formation of singularities for the curvature flow of networks when the initial data is symmetric with respect to a pair of perpendicular axes and has two triple junctions. We show that, in this case, the set of singular times is finite.
Abstract: 我们研究当初始数据关于一对垂直轴对称且具有两个三重结点时,网络曲率流的奇点形成问题。 我们证明在这种情况下,奇点时间的集合是有限的。
Comments: 10 pages, 2 figures
Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)
MSC classes: 53E10, 53E99, 53C44
Cite as: arXiv:2310.02890 [math.AP]
  (or arXiv:2310.02890v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2310.02890
arXiv-issued DOI via DataCite

Submission history

From: Matteo Novaga [view email]
[v1] Wed, 4 Oct 2023 15:27:31 UTC (14 KB)
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