Results 161 to 170 of about 634 (180)
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Concentrated vorticity in the Gross-Pitaevskii equations
2016We will present recent results describing the behavior of certain solutions of the Gross-Pitaevskii equations, in a particular scaling regime, for initial data with concentrated vorticity.
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New Dynamics of the Classical and Nonlocal Gross-Pitaevskii Equation with a Parabolic Potential
Reports on Mathematical Physics, 2020Shimin Liu, Da-Jun Zhang
exaly
On the derivation of the Gross-Pitaevskii equation
2005This article reflects in its content the talk the author gave at the XVII Congresso dell'Unione Matematica Italiana, held in Milano, 8-13 September 2003. We review about some recent results on the problem of deriving the Gross-Pitaevskii equation in dimension one from the dynamics of a quantum system with a large number of identical bosons.
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The limit equation for the Gross–Pitaevskii equations and S. Terraciniʼs conjecture
Journal of Functional Analysis, 2012E N DANCER, Kelei Wang, Zhitao Zhang
exaly
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation
Journal of Computational Physics, 2003Weizhu Bao +2 more
exaly
On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation II
Communications in Partial Differential Equations, 2009Fabrice Bethuel +2 more
exaly