曲线缩短流的自相似扩张网络
Self-similarly expanding networks to curve shortening flow
摘要：
我们考虑一个网络在欧几里德平面，由三个不同的半线与共同的起点。从该网络作为初始条件，存在由三条曲线组成的网络，这三条曲线都从一个点开始，在那里它们形成120度角，并在曲线缩短流下相似地扩展。我们还证明了这些网络的唯一性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
