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Asymptotic limit of the Gross-Pitaevskii equation with general initial data

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dc.citation.epage1126en_US
dc.citation.issue6en_US
dc.citation.spage1113en_US
dc.citation.volume59en_US
dc.contributor.authorLi FuCaien_US
dc.contributor.authorLin Chi-Kunen_US
dc.contributor.authorWu Kung-Chienen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.department數學建模與科學計算所(含中心)zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.contributor.departmentGraduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematicsen_US
dc.date.accessioned2017-04-21T06:55:23Z
dc.date.available2017-04-21T06:55:23Z
dc.date.issued2016-06en_US
dc.description.abstractThis 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.en_US
dc.identifier.doi10.1007/s11425-015-5104-3en_US
dc.identifier.issn1674-7283en_US
dc.identifier.journalSCIENCE CHINA-MATHEMATICSen_US
dc.identifier.urihttp://dx.doi.org/10.1007/s11425-015-5104-3en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/133743
dc.identifier.wosnumberWOS:000376677900006en_US
dc.language.isoen_USen_US
dc.subjectGross-Pitaevskii equationen_US
dc.subjectasymptotic limiten_US
dc.subjectincompressible Euler equationen_US
dc.subjectgeneral initial dataen_US
dc.titleAsymptotic limit of the Gross-Pitaevskii equation with general initial dataen_US

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