A new blow-up criterion for Gross-Pitaevskii equation

被引：3
|
作者：
Yue, Zhongtao [1 ]
Li, Xiaoguang [1 ]
Zhang, Jian [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 62卷
关键词：
Gross-Pitaevskii equation; Invariant set; Blow-up; NONLINEAR SCHRODINGER-EQUATIONS; BOSE-EINSTEIN CONDENSATION; GLOBAL EXISTENCE; CAUCHY-PROBLEM;
D O I：
10.1016/j.aml.2016.06.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of the Gross-Pitaevskii equation, which describes the attractive Bose-Einstein condensate under a magnetic trap. By establishing an invariant set and applying the Gagliardo-Nirenberg type inequality, we then get the existence of blow-up solutions with arbitrary large initial energy. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：16 / 22
页数：7
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