报告人:包维柱 教授(新加坡国立大学)
时间:2015年12月29日(周二)12:30-13:30
地 点:工学院1号楼210会议室
主持人:唐少强 教授
报告简介:
Quantized vortices have been experimentally observed in type-II superconductors, superfluids, nonlinear optics, etc. In this talk, I will review different mathematical equations for modeling quantized vortices in superfluidity and superconductivity, including the nonlinear Schrodinger/Gross-Pitaevskii equation, Ginzburg-Landau equation, nonlinear wave equation, etc. Asymptotic approximations on single quantized vortex state and the reduced dynamic laws for quantized vortex interaction are reviewed and solved analytically in several cases. Efficient and accurate numerical methods will be presented for computing quantized vortex lattices and ther dynamics. Direct numerical simulation results from different PDE models are reported for quantized vortex dynamics and they are compared with those from the reduced dynamics laws. Some open problems and emerging applications will be discussed.
报告人介绍:
Prof. Weizhu Bao got his BS/MS/PhD degree in Tsinghua University from 1992 to 2000, and now is a Professor in the Department of Mathematics, National University of Singapore. His research areas include: Computational fluid dynamics; Bose-Einstein condensation; Multiscale simulation; and Problems in unbounded domain; Numerical analysis/Scientific computing, etc.
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