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

Fu Cai Li, Chi Kun Lin, Kung Chien Wu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1113-1126
Number of pages14
JournalScience China Mathematics
Volume59
Issue number6
DOIs
Publication statusPublished - 2016 Jun 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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