Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases | Zendy

Lingfei Li | Zendy; Yingying Xie | Zendy; Yongsheng Yan | Zendy; Richard Ma | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases

Author(s) -

Lingfei Li,

Yingying Xie,

Yongsheng Yan,

Richard Ma

Publication year - 2022

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

ISSN - 2473-6988

DOI - 10.3934/math.2022555

Subject(s) - quantum , invariant (physics) , energy (signal processing) , dipole , physics , mathematics , mathematical physics , quantum mechanics

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research