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A Non-Existence Result for Supersonic Travelling Waves in the Gross-Pitaevskii Equation
Authors:Philippe?Gravejat  author-information"  >  author-information__contact u-icon-before"  >  mailto:gravejat@clipper.ens.fr"   title="  gravejat@clipper.ens.fr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France
Abstract:We prove the non-existence of non-constant travelling waves of finite energy and of speed ${{c > sqrt{{2}}}}$ in the Gross-Pitaevskii equation in dimension Nge2.
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