报 告 人：包维柱

所在单位：新加坡国立大学数学学院

报告地点：数学学院第一报告厅

报告时间：2018-10-17 10:00-11：00

报告题目：Quantized vortex stability and dynamics in superfluidity and

superconductivity

报告简介：

Quantized vortices have been experimentally observed in type-II superconductors,

superfluids, nonlinear optics, etc. In this talk, I will review differentmathematical 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 fromdifferent PDE models are reported for quantized vortex dynamics and they are compared with those from the reduced dynamics laws. Some open problems and emerging applicationswill be discussed. This is a joint work with Qiang Du, Dieter Jaksch, Alexander Klein,Qinglin Tang and Yanzhi Zhang.