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Blow up threshold for the Gross‐Pitaevskii system with trapped dipolar quantum gases
Author(s) -
Liu Baiyu,
Ma Li,
Wang Jing
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400189
Subject(s) - dipole , quantum , gross–pitaevskii equation , physics , minification , quantum mechanics , mathematics , bose–einstein condensate , mathematical optimization
In this paper, we study the Gross‐Pitaevskii system with trapped dipolar quantum gases. We obtain both the stable regime and the unstable regime. Moreover, via a construction of cross minimization problem, the blow up threshold is established.