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Limit behavior of attractive Bose-Einstein condensates passing an obstacle

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成果类型:
期刊论文
作者:
Deng, Yinbin;Guo, Yujin;Xu, Liangshun*
通讯作者:
Xu, Liangshun
作者机构:
[Deng, Yinbin; Xu, Liangshun; Guo, Yujin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Xu, Liangshun] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Bose-Einstein condensates;Exterior domains;Blow-up behavior
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2021
卷:
272
页码:
370-398
基金类别:
Y. B. Deng is partially supported by NSFC under Grants No. 11771170 and No. 11629101.Y. J. Guo is partially supported by NSFC under Grants No. 11671394 and 11931012.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we mainly investigate ground states of trapped attractive Bose-Einstein condensates (BEC) passing an obstacle in the plane, which can be described by an L-2-critical constraint minimization problem in an exterior domain Omega = R-2\omega, where the bounded convex domain omega subset of R-2 with smooth boundary denotes the region of the obstacle. It is shown that minimizers (i.e. ground states) exist, if and only if the interaction strength a satisfies a < a* = parallel to Q parallel to(2)(2), where Q > 0 is the unique positive radial solution of Delta u - u + u(3) = 0 in R-2. If...

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