Please use this identifier to cite or link to this item:
https://dspace.ctu.edu.vn/jspui/handle/123456789/100887
Title: | Blow-up profile of the focusing gross-pitaevskii minimizer under self-gravitating effect |
Authors: | Phan, Thanh Viet |
Keywords: | Bose Einstein condensate Self gravitating effect Concentration-compactness method Blow up profile Gagliardo-Nirenberg inequality |
Issue Date: | 2020 |
Series/Report no.: | Acta mathematica Vietnamica journal;Vol.45, No.03 .- P.611-634 |
Abstract: | We consider a Bose Einstein condensate in a 2D dilute bose gas, with an external potential and an interaction potential containing both the short range attractive self-interaction and the long range self-gravitating effect. We prove the existence of minimizers and analyze their behavior when the strength of the attractive interaction converges to a critical value. The universal blow up profile is the unique optimizer of a Gagliardo-Nirenberg interpolation inequality. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/100887 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
_file_ Restricted Access | 3.29 MB | Adobe PDF | ||
Your IP: 3.15.10.139 |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.