國立中山大學應用數學系 學術演講
講 者：張瑞恩 教授 (國立中正大學)
講 題：Stability of regular shrinkers in the network flow 時 間：2021/10/28（Thursday）16:10 ~ 17:00
地 點：理 SC4009-1 教室 茶 會：15:30
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.
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應用數學系：http://math.nsysu.edu.tw
校園地圖：http://math.nsysu.edu.tw/var/file/183/1183/img/779/nsysu_math_map.jpg 交通資訊：https://www.nsysu.edu.tw/p/412-1000-4132.php?Lang=zh-tw
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