报告人： Prof.Weizhu Bao
The Dynamics and Interaction of Quantized Vortices in Ginzburg-Landau-Schrodinger Equation
In this talk, we investigate the dynamical laws of quantized vortex interaction in the Ginzburg-Lanau-Schrodinger equation (GLSE) analytically and numerically. We begin with a review of the reduced dynamic laws governing the motion of vortex centers in GLSE and solve the nonlinear ordinary differential equations (ODEs) of the reduced dynaqmical laws analytically with a few types of initial data. By directly simulating the GLSE with an efficient and accurate numerical method proposed recently by us, we can compare quantized vortex interaction patterns of GLSE with those from the reduced dynamic laws qualitatively and quantitatively. Some conclusive experimental findings are obtained, and discussions on numerical and theoretical results are made to provide further understanding of vortex interactions in GLSE. Finally, the vortex motion under an inhomogeneous potential is also studied.
报告时间： 2006年7月21日(周五) 上午10:00--11:00