14:00~14:50
李海樑
Hai-Liang Li(南京首都師範大學 Capital Normal University)
Spectrum structure and behaviors of Vlasov-Poisson (Maxwell)- Boltzmann equations.
15:10~16:00
陳旭文
Xu-Wen Chen(英國羅徹斯特大學 University of Rochester)
The rigorous derivation of focusing NLS from quantum many-body evolutions
16:00~16:20 茶點 Tea Break 16:20~17:10
江鑑聲
Jian-Sheng Jiang(東方設計學院 Tong Fang Design Univerisyt)
Polarization and Relaxation Effects Induced by Two-Scale Homogenization
詳情請見/For more information:
www.math.ncku.edu.tw
主辦單位：成大理論中心數學組 主辦人：吳恭儉、郭鴻文
11 6
邀請國内外偏微方程學者，交流有關氣體動力學及量子力學的最新進展
偏微分方程研討會
2015 年 11 月 6 日 (週五) 14:00-17:10 數學館三樓會議室
成功大學數學系
演講一: 14:00~14:50Speaker: Hai-Liang Li (Capital Normal University)
Title: Spectrum structure and behaviors of Vlasov-Poisson(Maxwell)-Boltzmann equations.
Abstract: We present the recent results on the spectrum structures of the Vlasov- Poisson(Maxwell)-Boltzmann equations and justify the influences of the electrostatic potential force, Lorentz force, and/or the mutual interaction between charged particles of differernt types. It is joint with Mingying Zhong and Tong Yang.
演講二:15:10~16:00
Speaker: Xuwen Chen (University of Rochester)
Title: The rigorous derivation of focusing NLS from quantum many-body evolutions
Abstract: The rigorous justification of mean-field type equations (Boltzmann, Vlasov- Poisson, NLS...) from the many-body systems they are supposed to describe is a vast and fundamental subject. In this talk, we talk about recent advances in this area on the derivation of focusing nonlinear Schrodinger equations (NLS) from quantum many- body evolutions in the context of Bose-Einstein condensation, which has been one of the most active areas of contemporary research since the Nobel prize winning experiments. We survey the background and the evolution of the results and techniques in the field during the talk.
演講三: 16:20~17:10
Speaker: 江鑑聲 (東方設計學院)
Title: Polarization and Relaxation Effects Induced by Two-Scale Homogenization Abstract: Motivated by the two-scale convergence method introduced by G.
Nguetseng and G. Allaire, we study the polarization effect induced by homogenization. By way of Boltzmann-Poisson system, we characterize the mricroscopic properties of electrons in dielectric materials. The homogenized equations are obtained which describe the mean behaviors and we also get the modified Gauss law by way of polarization effect and the plasma frequency.
