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• W1982630008 abstract "We study the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmonic trap. Since the gas is assumed to be in a strong interaction regime, we have to analyze two combined singular limits: a semi-classical limit in the transport direction and the strong partial confinement limit in the transversal direction. We prove that both limits commute together and we provide convergence rates. The by-products of this work are approximated models in reduced dimension for the GPE, with a priori estimates of the approximation errors." @default.
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• W1982630008 date "2015-02-13" @default.
• W1982630008 modified "2023-10-14" @default.
• W1982630008 title "Dimension reduction for anisotropic Bose–Einstein condensates in the strong interaction regime" @default.
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• W1982630008 doi "https://doi.org/10.1088/0951-7715/28/3/755" @default.
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