Profiles of Blow-up Solutions for the Gross-Pitaevskii Equation

被引：0
|
作者：
Shi-hui Zhu 1
机构：
来源：
Acta Mathematicae Applicatae Sinica | 2010年 / 26卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Gross-Pitaevskii equation; blow-up solution; Bose-Einstein condensate; limiting profile; harmonic potential;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper is concerned with the blow-up solutions of the Cauchy problem for Gross-Pitaevskii equation.In terms of Merle and Raphёel’s arguments as well as Carles’ transformation,the limiting profiles of blow-up solutions are obtained.In addition,the nonexistence of a strong limit at the blow-up time and the existence of L2 profile outside the blow-up point for the blow-up solutions are obtained.
引用
收藏
页码：597 / 606
页数：10
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