报告人：张志涛 教授 中科院数学与系统科学研究院

时间：2017.9.22 15:30-16:30

地点：知新楼B1032

题目：On solutions of Schrodinger systems arsing from Bose-Einstein condensates

摘要：We are concerned with the important system of nonlinear Schrodinger equations with linear and nonlinear couplings which arises from Bose-Einstein condensates, we prove phase segregation results of the limit competition case, which covers S. Terracini’s conjecture; we use variational methods to prove the existence of ground state and bound state solutions of the systems, and use bifurcation theory to get structure of positive solutions. We give some partial symmetry results of positive solutions by Morse index and obtain existence and uniqueness of positive solution via synchronized solution techniques etc.