Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases-Reference-Cited by-同舟云学术

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

Published:2022 Issue:6 Volume:7 Page:9957-9975
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Li Lingfei¹,Xie Yingying²,Yan Yongsheng¹,Ma Xiaoqiang¹

Affiliation:

1. School of Economics and Management, Northwest University, Xi'an, Shannxi 710127, China

2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shannxi 710049, China

Abstract

<abstract><p>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 <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, 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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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