| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8959532 | Journal of Mathematical Analysis and Applications | 2018 | 13 Pages |
Abstract
The current paper contemplates the blowup dynamics in trapped dipolar quantum gases. More precisely, employing the profile decomposition of bounded sequences in HË1â©HË12, we firstly construct related variational problems and derive two refined Gagliardo-Nirenberg inequalities. Secondly, a compactness lemma is utilized to prove that the blowup solutions with bounded HË12 norm and bounded L3 norm absolutely concentrate at least a fixed amount.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yingying Xie, Lingfei Li, Shihui Zhu,