Speaker: Zhi-Guo Xu  

Beijing Computational Science Research Center    

Abstract: Ginzburg-Landau--Schrödinger equation (GLSE) is well known for modeling superconductivity. In this talk, I will introduce the dynamical of quantized vortices of GLES based on particle interaction. I just consider the reduced dynamical laws for time evolution of quantized vortex centers in GLE and NLSE, and show some results of the nonlinear ordinary differential equation (ODE). For GLE some non-autonomous first integrals of ODE will be given. According to these first integrals, I discuss the collision of the vortices., then I show the dynamical of three vortices completely. For NLSE, I prove three vortices with same winding number will not collide, and I will show some dynamics of four vortices under some symmetrical condition.

Date&Time: December 21, 2012 (Friday), 14:30–15:30
Location: 606 Conference Room