报告题目:Excited states for two-component Bose-Einstein condensates in dimension two

报告人：杨晶 副教授（江苏科技大学）

报告时间：2023年05月08日9:30-10:30

报告地点：理A110

摘要：We consider the following two-component Bose-Einstein condensates (BEC) by investigating the associated L^2-critical constraint problem Ground states and excited states are typically described in BEC phenomenon. In this paper, we prove the existence of the general exited states by use of the finite dimensional reduction method combined with the local Pohozaev identities. Precisely, we construct the concentrated vector solutions as. Comparing with the single equation, the difficulty of BEC system comes from the interspecies interaction between the components, which requires subtle estimates.