Browsing by Author "Li FuCai"

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Asymptotic limit of the Gross-Pitaevskii equation with general initial data
(2016-06)
Li FuCai
;
Lin Chi-Kun
;
Wu Kung-Chien
;
應用數學系
;
數學建模與科學計算所(含中心)
This paper mainly concerns the mathematical justification of the asymptotic limit of the Gross-Pitaevskii equation with general initial data in the natural energy space over the whole space. We give a rigorous proof of the convergence of the velocity fields defined through the solutions of the Gross-Pitaevskii equation to the strong solution of the incompressible Euler equations. Furthermore, we also obtain the rates of the convergence.