Ground states of pseudo-relativistic boson stars under the critical stellar mass | |
Guo, Yujin2; Zeng, Xiaoyu1 | |
刊名 | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE |
2017-11-01 | |
卷号 | 34期号:6页码:1611-1632 |
关键词 | Ground States Boson Stars Mass Concentration Critical Mass |
DOI | 10.1016/j.anihpc.2017.04.001 |
文献子类 | Article |
英文摘要 | We consider ground states of pseudo-relativistic boson stars with a self-interacting potential K(x) in R-3, which can be described by minimizers of the pseudo-relativistic Hartree energy functional. Under some assumptions on K (x), minimizers exist if the stellar mass N satisfies 0 < N < N*, and there is no minimizer if N > N*, where N* is called the critical stellar mass. In contrast to the case of the Coulomb-type potential where K(x) 1, we prove that the existence of minimizers may occur at N = N*, depending on the local profile of K(x) near the origin. When there is no minimizer at N = N*, we also present a detailed analysis of the behavior of minimizers as N approaches N* from below, for which the stellar mass concentrates at a unique point. (C) 2017 Elsevier Masson SAS. All rights reserved. |
WOS关键词 | ATTRACTIVE INTERACTIONS ; HARTREE-EQUATIONS ; UNIQUENESS ; DYNAMICS ; COLLAPSE ; LIMIT |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000414113500009 |
资助机构 | National Natural Science Foundation of China(11322104 ; National Natural Science Foundation of China(11322104 ; 11671394 ; 11671394 ; 11501555) ; 11501555) ; National Natural Science Foundation of China(11322104 ; National Natural Science Foundation of China(11322104 ; 11671394 ; 11671394 ; 11501555) ; 11501555) |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/11538] |
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 | 1.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
推荐引用方式 GB/T 7714 | Guo, Yujin,Zeng, Xiaoyu. Ground states of pseudo-relativistic boson stars under the critical stellar mass[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2017,34(6):1611-1632. |
APA | Guo, Yujin,&Zeng, Xiaoyu.(2017).Ground states of pseudo-relativistic boson stars under the critical stellar mass.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,34(6),1611-1632. |
MLA | Guo, Yujin,et al."Ground states of pseudo-relativistic boson stars under the critical stellar mass".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 34.6(2017):1611-1632. |
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