NCTS/CMMSC Seminar on PDEs, Theory and Applications

這是「數學建模與科學計算研究中心」的定期研討會,主題有二:一為非線性色散波,另一為流體力學界面問題。本學期的重點為前者。

非線性色散波包含非線性Schrodinger方程、Ginzburg-Landau方程,還有其他相關的方程,應用領域包括冷原子凝聚態、超導、非線性 光學等。在理論部分,我們將介紹Strichartz估計,另外也有moduated解量方法,這對於研究非線性方程的奇異極限是一個重要的工具。

介於理論與計算之間,我們將介紹攝動理論(Perturbation Theory)、Γ收歛理論等,這是求基態解的基本數學工具。講員部分有國外學者,我們將從背景知識介紹起,歡迎對這個課題有興趣的老師與研究生參加。

(地點:交通大學 科學一館307室)


Programs:

Day
Time
Speaker
Title
2012/10/17 (Wed)  
13:20-14:10
Prof. I-Liang Chern 陳宜良
(NTU & NCTU)
 Introduction to Bose-Einstein Condensates - I

14:20-15:10
Prof. Meng-Kai Hong 洪盟凱
(National Central University)
 Geometric singular perturbations and applications to hyperbolic systems of balance laws (I)
2012/10/24 (Wed)
13:20-14:10 Prof. Chi-Kun Lin 林琦焜
(NCTU)
 A survey of the Schrodinger equation(I)

14:20-15:10 Prof. Meng-Kai Hong 洪盟凱
(NCU)
 Geometric singular perturbations and applications to hyperbolic systems of balance laws (II)
2012/10/31 (Wed)
13:20-15:10
Prof. Jun-ichi Segata
(Mathematical Institute, Tohoku University, Japan)
 Semi-classical limit for Schrodinger equation
2012/11/7 (Wed)
13:20-14:10 Prof. Chi-Kun Lin 林琦焜
(NCTU)
 A survey of the Schrodinger equation(II)

14:20-15:10 Dr. Tien-Tsan Shieh 謝天長
(NCTU)
 Introduction to Quantum Physics and Hydrogen Models
2012/11/13 (Tue)
13:30-15:00
 Prof. Jerry Bona
 (University of Illinois at Chicago, USA)
 Solitary Waves and other Long-wave Phenomena
2012/11/14 (Wed)
13:20-14:10
Prof. Jerry Bona
(University of Illinois at Chicago, USA)
 Model Equations for Water Waves and Applications (I)

14:20-15:10 Prof. Ansgar Jungel
(Vienna University of Technology, Austria)
 Entropy-dissipation methods I: Nonlinear Fokker-Planck equations
2012/11/15 (Thu)
13:20-15:10
Prof. Jerry Bona
(University of Illinois at Chicago, USA)
 Model Equations for Water Waves and Applications (II,III)
2012/11/21 (Wed)
13:20-14:10 Prof. Jerry Bona
(University of Illinois at Chicago, USA)
 Model Equations for Water Waves and Applications (IV)

14:20-15:10 Prof. Ansgar Jungel
(Vienna University of Technology, Austria)
 Entropy-dissipation methods II: Higher-order and cross diffusion equations

15:30-16:20
Prof. Hongqiu Chen
(The University of Memphis, USA)
 Solitary waves and their stability for a class of systems of nonlinear dispersive equations
2012/11/22 (Thu)
13:20-15:10 Prof. Jerry Bona
(University of Illinois at Chicago, USA)
 Model Equations for Water Waves and Applications (V,VI)
2012/11/28 (Wed)
13:20-15:10
Dr. Ming-Shien Chang 張銘顯
(Institute of Atomic and Molecular Sciences, Aacademia Sinica)
 Spinor Bose-Einstein condensates
2012/12/5 (Wed)
13:20-15:10
Prof. Ming Mei
(Champlain College and McGill University, Canada)
 Exponential Stability of Non-monotone Traveling Waves for time-delayed reaction-diffusion equations
2012/12/12(Wed)
13:30-15:00
Prof. Benoit Perthame
(Laboratoire J.-L. Lions, Univ. P. et M. Curie (Paris 6))
 Adaptive evolution and concentrations in parabolic PDEs











Related Programs:

Day
Time
Speaker
Title
2012/11/12 (Mon)
12:00-13:00
Prof. Henryk Witek 魏恆理
(Department of Applied Chemistry, NCTU)
 Analytic solutions to Schrodinger equation for 3 particles (Helium atom)