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Travelling waves for the Gross-Pitaevskii equation II

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 نشر من قبل Philippe Gravejat
 تاريخ النشر 2008
  مجال البحث
والبحث باللغة English
 تأليف Fabrice Bethuel




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The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based on minimization under constraints, yield a full branch of solutions, and extend earlier results, where only a part of the branch was built. In dimension three, we also show that there are no travelling wave solutions of small energy.



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