| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618346 | Journal of Mathematical Analysis and Applications | 2011 | 7 Pages |
Abstract
This paper concerns the threshold of global existence and finite time blow up of solutions to the time-dependent focusing Gross–Pitaevskii equation describing the Bose–Einstein condensation of trapped dipolar quantum gases. Via a construction of new cross-constrained invariant sets, it is shown that either the corresponding solution globally exists or blows up in finite time according to some appropriate assumptions about the initial datum.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
