GROUND STATES OF TWO-COMPONENT ATTRACTIVE BOSE-EINSTEIN CONDENSATES II: SEMI-TRIVIAL LIMIT BEHAVIOR
文献类型：期刊论文
| 作者 | Zeng, Xiaoyu1; Wei, Juncheng2; Li, Shuai3,4; Guo, Yujin5,6 |
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2019-05-15 |
| 卷号 | 371期号:10页码:6903-6948 |
| 关键词 | Gross-Pitaevskii equations ground states minimizers mass concentration semi-trivial solutions |
| ISSN号 | 0002-9947 |
| DOI | 10.1090/tran/7540 |
| 英文摘要 | As a continuation of our prior article, we study new pattern formations of ground states (u(1),u(2)) for two-component Bose-Einstein condensates (BEC) with homogeneous trapping potentials in R2, where the intraspecies interaction (-a, -b) and the interspecies interaction -beta are both attractive, i.e., a, b, and beta are all positive. If 0 < b < a* :- parallel to w parallel to(2)(2) and 0 < beta < a* are fixed, where w is the unique positive solution of, Delta w - w w3 = 0 in R-2, the semi-trivial behavior of (u(1), u(2)) as a NE arrow a* is proved in the sense that ui concentrates at a unique point and while u(2) 0 in R2. However, if 0 < b < a* and a* <= beta < beta* = a* + /root(a* a)(a* b), the refined spike profile and the uniqueness of (ui, u2) as a NE arrow a* are analyzed, where (u(1), u(2)) must be unique, u1 concentrates at a unique point, and meanwhile u(2) can either blow up or vanish, depending on how beta approaches a*. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATIONS ; GROSS-PITAEVSKII EQUATIONS ; POSITIVE BOUND-STATES ; SYMMETRY-BREAKING ; PATTERN-FORMATION ; R-N ; UNIQUENESS ; EXISTENCE ; SPIKES |
| 资助项目 | NSFC[11501555] ; MOST[2017YFA0304500] ; NSERC of Canada |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000464951300006 |
| 出版者 | AMER MATHEMATICAL SOC |
| 资助机构 | NSFC ; NSFC ; MOST ; MOST ; NSERC of Canada ; NSERC of Canada ; NSFC ; NSFC ; MOST ; MOST ; NSERC of Canada ; NSERC of Canada ; NSFC ; NSFC ; MOST ; MOST ; NSERC of Canada ; NSERC of Canada ; NSFC ; NSFC ; MOST ; MOST ; NSERC of Canada ; NSERC of Canada |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13783]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Guo, Yujin |
| 作者单位 | 1.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China 2.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 3.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 5.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China 6.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zeng, Xiaoyu,Wei, Juncheng,Li, Shuai,et al. GROUND STATES OF TWO-COMPONENT ATTRACTIVE BOSE-EINSTEIN CONDENSATES II: SEMI-TRIVIAL LIMIT BEHAVIOR[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,371(10):6903-6948. |
| APA | Zeng, Xiaoyu,Wei, Juncheng,Li, Shuai,&Guo, Yujin.(2019).GROUND STATES OF TWO-COMPONENT ATTRACTIVE BOSE-EINSTEIN CONDENSATES II: SEMI-TRIVIAL LIMIT BEHAVIOR.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,371(10),6903-6948. |
| MLA | Zeng, Xiaoyu,et al."GROUND STATES OF TWO-COMPONENT ATTRACTIVE BOSE-EINSTEIN CONDENSATES II: SEMI-TRIVIAL LIMIT BEHAVIOR".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 371.10(2019):6903-6948. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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