TY  - JOUR
AU  - Li, Lingfei
AU  - Xie, Yingying
AU  - Yan, Yongsheng
AU  - Ma, Xiaoqiang
PY  - 2022
TI  - Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases
JO  - AIMS Mathematics
SP  - 9957
EP  - 9975
VL  - 7
IS  - 6
AB  - 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.
UR  - https://doi.org/10.3934/math.2022555
DO  - 10.3934/math.2022555