Title
A new blow-up criterion for Gross-Pitaevskii equation.
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.
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 Yue100.34
Xiaoguang Li201.01
Jian Zhang301.01