Blow up threshold for the Gross-Pitaevskii system with combined nonlocal nonlinearities

被引：2
|
作者：
Liu, Baiyu [1 ]
Ma, Li [2 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonlocal Gross-Pitaevskii system; Potential well method; Global existence; Blow up; DIPOLAR QUANTUM GASES; GLOBAL EXISTENCE; SCHRODINGER-EQUATIONS; SHARP THRESHOLD; CAUCHY-PROBLEM; SPACE;
D O I：
10.1016/j.jmaa.2015.01.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Gross-Pitaevskii system with combined nonlocal nonlinearities. First, we establish both the stable regime and the unstable regime. Then via a construction of cross minimization problem, the blow up threshold is established. (C) 2015 Elsevier Inc. All rights reserved.
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页码：1214 / 1224
页数：11
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