报告题目: The dynamics of quantized vortices in the reduced dynamical law of Ginzburg-Landau equation
报告人：史少云，吉林大学
报告时间：2018年12月7日(星期五)下午4:00-5:00
报告地点：数学院4楼425报告厅
内容摘要: In this talk, we consider the stability and interaction patterns of quantized vortex lattices governed by the reduced dynamical law - a system of ODEs. By deriving several non-autonomous first integrals of the ODEs, we obtain qualitatively dynamical properties of a cluster of quantized vortices, including global existence, finite time collision, equilibrium solutionand invariant solution manifolds. For a vortex lattice with 3 vortices, we establish orbital stability when they have the same winding number and find different collision patterns when they have different winding numbers. In addition, under several special initial setups, we obtain analytical solutions for the ODEs.
个人简介：史少云，吉林大学教授、博士生导师、数学学院副院长，教育部新世纪优秀人才，吉林省“长白山学者”特聘教授。主要从事常微分方程的可积性、微分Galois理论与奇性分析等问题的研究，发表论文50余篇。承担了包括国家自然科学基金面上项目和国家973项目等多项省部级以上项目；曾获高等学校自然科学奖一等奖、吉林省科学技术进步奖一等奖、宝钢优秀教师奖和吉林省教学成果一等奖；是国家级精品资源共享课《常微分方程》的负责人。
