Publications
Sort:
Open Access Research Article Issue
Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases
AIMS Mathematics 2022, 7(6): 9957-9975
Published: 15 June 2022
Abstract PDF (268.9 KB) Collect
Downloads:0

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.

Total 1