@article{Li2022, 
author = {Lingfei Li and Yingying Xie and Yongsheng Yan and Xiaoqiang Ma},
title = {Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {9957-9975},
keywords = {trapped quantum gases, gross-pitaevskii equation, blowup dynamics, mass-energy threshold, arbitrary large energy},
url = {https://www.sciopen.com/article/10.3934/math.2022555},
doi = {10.3934/math.2022555},
abstract = {The present paper considers the blowup properties in trapped dipolar quantum gases modelled by the Gross-Pitaevskii equation. More precisely, through analyzing the temporal evolution of        J    ′    (  t  ) in the form of uncertain principle [1], we provide some invariant evolution flows. Based on that, we establish the global existence versus blowup dichotomy of solutions above the mass-energy threshold. Meanwhile, we can estimate the behaviour of solutions with arbitrary large energy.}
}