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NCTS Course on PDE: Nonlinear Waves and Related Physical Problems
 
Every Mon. 11:00-12:00 and Thu. 10:00-12:00, February 18 - June 14, 2019
Room 3176, Department of Mathematics, NCKU

Speaker:
Wen-Ching Lien (National Cheng Kung University)
Kung-Chien Wu (National Cheng Kung University & NCTS)
Yung-fu Fang (National Cheng Kung University)
Yu-Yu Liu (National Cheng Kung University)
Hsing-Kuo Pao (National Taiwan University of Science & Technology)


Organizers:
Wen-Ching Lien (National Cheng Kung University)


一、 課程背景與目的:
本課程針對研究所學生設計,希望能拓展學生的視野,不管未來選擇就業或者繼續攻讀博士班,都能獲益。課程內容包含兩大部分,第一部分是基本理論,第二部分涵蓋不同的研究主題,邀請各領域學者參與,其中也有人工智慧的專題。
預期成果: 研究生更加清楚PDE這個學科的各種研究方向,在理論基礎上有良好的預備。
 
二、課程之大綱:
I. Elementary Analysis:
1. Sobolev Spaces,
2. Second order Elliptic Equations, 
3. Linear Evolution Equations.
 
II.   Advanced Topics: 
1. Fourier-Laplace Transform for Boundary Value Problems
2. Schrödinger Equation
3. Level Set Method and Combustion Model 
4. AI
 
附註:  學生參訪
1. 2/17-24 : Sakura Exchange Program in Science held in Niigata 
2. 2/26-3/2: 10th Taiwan-Japan Joint Workshop for Young Scholars in Applied Math (Ryukoku University, Kyoto)
 
 





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 (C) 2019 National Center for Theoretical Sciences