Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707364 | Applied Mathematics Letters | 2016 | 7 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhongtao Yue, Xiaoguang Li, Jian Zhang,