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DATE | 2021-10-07 16:10-17:00 |

PLACE | 數學館3174教室 |

SPEAKER | 張瑞恩 助理教授（國立中正大學數學系） |

TITLE | Stability of Regular Shrinkers in the Network Flow |

ABSTRACT | In this talk, I'll present the problem I'm working on and some partial results. In the network flow, singularities may form. They can be described as self-similar shrinking solutions called regular shrinkers. An important problem is that if we perturb the initial network, will the new network flow to the same singularity? All network with 2 or more enclosed regions can be perturbed away. Therefore, the problem reduces to the network with less than 2 enclosed regions. There are infinitely many of them and they are completely classifi ed. Here, I use the entropy argument as in Colding and Minicozzi's work to show that the 4-ray star, the 5-ray star, the fish, and the rocket can be perturbed away. |