Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle  

作　　者：Yinbin Deng Yujin Guo Liangshun Xu 

机构地区：[1]School of Mathematics and Statistics,Hubei Key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan 430079,China

出　　处：《Science China Mathematics》2023年第8期1767-1788,共22页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.11931012);the Fundamental Research Funds for the Central Universities (Grant No.CCNU22LJ002);Excellent Doctoral Dissertation Program at Central China Normal University in China (Grant No.2020YBZZ055)。

摘　　要：This paper is concerned with ground states of two-component trapped Bose-Einstein condensates passing an obstacle in R^(2),where the intraspecies interactions are attractive and the interspecies interactions are repulsive.We address the classification on the existence and non-existence of ground states.The limiting profiles of ground states are also studied by the energy analysis and the elliptic partial differential equation theory.

关 键 词：Bose-Einstein condensates Gross-Pitaevskii functional nonlinear elliptic system 

分 类 号：O469[理学—凝聚态物理]