Non-existence for travelling waves with small energy for the Gross–Pitaevskii equation in dimension N⩾3 |
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Authors: | André de Laire |
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Institution: | UPMC Université Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France |
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Abstract: | We prove that the Ginzburg–Landau energy of non-constant travelling waves of the Gross–Pitaevskii equation has a lower positive bound, depending only on the dimension, in any dimension larger or equal to three. In particular, we conclude that there are no non-constant travelling waves with small energy. To cite this article: A. de Laire, C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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