Blow-up for trapped dipolar quantum gases with large energy

We consider a Gross–Pitaevskii equation with harmonic potential arising in dipolar Bose–Einstein condensate. We extend the scope of blow-up solutions in the work of Carles, Markowich, and Sparber [Nonlinearity 21(11), 2569–2590 (2008)] to those with arbitrarily large energy in a partial unstable reg...

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Veröffentlicht in:Journal of mathematical physics 2019-12, Vol.60 (12)
Hauptverfasser: Gao, Yanfang, Wang, Zhiyong
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider a Gross–Pitaevskii equation with harmonic potential arising in dipolar Bose–Einstein condensate. We extend the scope of blow-up solutions in the work of Carles, Markowich, and Sparber [Nonlinearity 21(11), 2569–2590 (2008)] to those with arbitrarily large energy in a partial unstable regime.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5121793