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2週內演講

Colloquium, 國立成功大學數學系 林育竹教授
Thursday, September 23, 15:10—17:00 數學系3174
Title: 專題討論-課程介紹
Abstract: 說明各個課程學習架構,讓研究生對修課規劃有明確的瞭解。

Colloquium, 國立陽明交通大學應用數學系 黃信元教授
Thursday, September 30, 16:10—17:00 數學系3174
Title: An Introduction to Inverse Scattering Transform
Abstract: 視訊會議
It is an introductory talk on inverse scattering transform method in integrable systems. The inverse scattering transform (IST) is a method for solving some non-linear partial differential equations. The method is a non-linear analogue of the Fourier transform. This method was first introduced by Gardner-Greene-Kruskal-Miura for the Korteweg–de Vries equation, and soon extended to the nonlinear Schrodinger equation, sine-Gordon equation, the Toda lattice equation and so on. In this talk, I will introduce the IST for Kdv and Toda Lattice, and the connection between IST and Riemann-Hilbert problem.

Colloquium, 國立中正大學數學系 張瑞恩教授
Thursday, October 7, 16:10—17:00 數學系3174
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 classified. 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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國立成功大學數學系
70101 台南市大學路一號
電話︰(06) 2757575 轉 65100   傳真︰(06) 2743191
em65100[at]email.ncku.edu.tw