Geodesic
Sharp Threshold of the Gross-Pitaevskii Equation with Trapped Dipolar Quantum Gases
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 378-387

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DOI

In this paper, we consider the Gross-Pitaevskii equation for the trapped dipolar quantum gases. We obtain the sharp criterion for the global existence and finite time blow-up in the unstable regime by constructing a variational problem and the so-called invariant manifold of the evolution flow.
DOI : 10.4153/CMB-2011-181-2
Mots-clés : 35Q55, 35A05, 81Q99, Gross-Pitaevskii equation, sharp threshold, global existence, blow-up 
Ma, Li; Wang, Jing. Sharp Threshold of the Gross-Pitaevskii Equation with Trapped Dipolar Quantum Gases. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 378-387. doi: 10.4153/CMB-2011-181-2
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     title = {Sharp {Threshold} of the {Gross-Pitaevskii} {Equation} with {Trapped} {Dipolar} {Quantum} {Gases}},
     journal = {Canadian mathematical bulletin},
     pages = {378--387},
     year = {2013},
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     doi = {10.4153/CMB-2011-181-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-181-2/}
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