Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1016/j.aml.2016.06.007 | Applied Mathematics Letters |
Keywords | Field | DocType |
Gross–Pitaevskii equation,Invariant set,Blow-up | Gross–Pitaevskii equation,Mathematical analysis,Invariant (mathematics),Magnetic trap,Mathematics | Journal |
Volume | ISSN | Citations |
62 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
ZhongTao Yue | 1 | 0 | 0.34 |
Xiaoguang Li | 2 | 0 | 1.01 |
Jian Zhang | 3 | 0 | 1.01 |