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.

引用

页码：1214 / 1224

页数：11

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