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

作     者：Yinbin Deng Yujin Guo Liangshun Xu 

作者机构：School of Mathematics and StatisticsHubei Key Laboratory of Mathematical SciencesCentral China Normal UniversityWuhan 430079China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2023年第66卷第8期

页      面：1767-1788页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0701[理学-数学] 0702[理学-物理学] 

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)。 

主　　题：Bose-Einstein condensates Gross-Pitaevskii functional nonlinear elliptic system 

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.