Self-similarly expanding networks to curve shortening flow
Self-similarly expanding networks to curve shortening flow
复制标题
自相似扩展网络以曲线缩短流量
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
F. Schulze
中科院分区：
文献类型：
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作者：
Oliver C. Schnurer;F. Schulze
我们考虑欧几里得平面中的一个网络，该网络由具有共同起点的三个不同的半线组成。以该网络为初始条件，存在一个由三条曲线组成的网络，这三条曲线均从一点开始，形成 120 度角，并在曲线缩短流下同调扩展。我们还证明了这些网络的独特性。
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form 120 degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.