主  讲  人：Professor Weizhu Bao(Department of Mathematics, National University of Singapore)
时      间：2015年7月2日（周四）下午15:00-16:00
地      点：必赢76net线路官网北二区教学楼 515 教室
主 办 单 位：必赢76net线路官网数学科学学院
内 容 介 绍：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.
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