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

被引：0

作者：

Deng, Yinbin ^{[1
]}

Guo, Yujin ^{[1
]}

Xu, Liangshun ^{[1
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2023年 / 66卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Bose-Einstein condensates; Gross-Pitaevskii functional; nonlinear elliptic system; GROSS-PITAEVSKII EQUATIONS; GROUND-STATES; BEHAVIOR;

D O I：

10.1007/s11425-022-2006-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with ground states of two-component trapped Bose-Einstein condensates passing an obstacle in Double-struck capital 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.

引用

页码：1767 / 1788

页数：22

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