Ondes progressives pour l’équation de Gross-Pitaevskii
Béthuel, Fabrice1 ; Gravejat, Philippe2 ; Saut, Jean-Claude3
1 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France
2 Centre de Recherche en Mathématiques de la Décision, Université Paris Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 Paris Cedex 16, France
3 Laboratoire de Mathématiques, Université Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2007-2008), Exposé no. 15, 28 p.

Cet exposé présente les résultats de l’article [3] au sujet des ondes progressives pour l’équation de Gross-Pitaevskii : la construction d’une branche d’ondes progressives non constantes d’énergie finie en dimensions deux et trois par un argument variationnel de minimisation sous contraintes, ainsi que la non-existence d’ondes progressives non constantes d’énergie petite en dimension trois.

Béthuel, Fabrice 1 ; Gravejat, Philippe 2 ; Saut, Jean-Claude 3

1 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France
2 Centre de Recherche en Mathématiques de la Décision, Université Paris Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 Paris Cedex 16, France
3 Laboratoire de Mathématiques, Université Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France 
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Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude. Ondes progressives pour l’équation de Gross-Pitaevskii. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2007-2008), Exposé no. 15, 28 p. http://www.numdam.org/item/SEDP_2007-2008____A15_0/

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