Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
文献类型：期刊论文
| 作者 | Guo, Yujin; Zeng, Xiaoyu; Zhou, Huan-Song |
| 刊名 | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
 |
| 出版日期 | 2016-05-01 |
| 卷号 | 33期号:3页码:809-828 |
| 关键词 | Nonlinear elliptic equation Constrained minimization Gross-Pitaevskii functional Bose-Einstein condensates Attractive interactions Ring-shaped potential |
| 英文摘要 | This paper is concerned with the properties of L-2-normalized minimizers of the Gross Pitaevskii (GP) functional for a two-dimensional Bose-Einstein condensate with attractive interaction and ring-shaped potential. By establishing some delicate estimates on the least energy of the GP functional, we prove that symmetry breaking occurs for the minimizers of the GP functional as the interaction strength a > 0 approaches a critical value a*, each minimizer of the GP functional concentrates to a point on the circular bottom of the potential well and then is non-radially symmetric as a NE arrow a*. However, when a > 0 is suitably small we prove that the minimizers of the GP functional are unique, and this unique minimizer is radially symmetric. (C) 2015 Elsevier Masson SAS. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SCHRODINGER-EQUATIONS ; POSITIVE SOLUTIONS ; DERIVATION ; UNIQUENESS ; SYSTEMS ; VORTEX ; GAS ; RN |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000376216000005 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9356]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Yujin,Zeng, Xiaoyu,Zhou, Huan-Song. Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2016,33(3):809-828. |
| APA | Guo, Yujin,Zeng, Xiaoyu,&Zhou, Huan-Song.(2016).Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,33(3),809-828. |
| MLA | Guo, Yujin,et al."Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 33.3(2016):809-828. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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