Ondes progressives pour l’équation de Gross-Pitaevskii

Fabrice Béthuel[1]; Philippe Gravejat[2]; Jean-Claude Saut[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

Séminaire Équations aux dérivées partielles (2007-2008)

  • Volume: 2007-2008, page 1-28

Abstract

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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.

How to cite

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Béthuel, Fabrice, Gravejat, Philippe, and Saut, Jean-Claude. "Ondes progressives pour l’équation de Gross-Pitaevskii." Séminaire Équations aux dérivées partielles 2007-2008 (2007-2008): 1-28. <http://eudml.org/doc/11171>.

@article{Béthuel2007-2008,
abstract = {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.},
affiliation = {Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France; Centre de Recherche en Mathématiques de la Décision, Université Paris Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 Paris Cedex 16, France; Laboratoire de Mathématiques, Université Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France},
author = {Béthuel, Fabrice, Gravejat, Philippe, Saut, Jean-Claude},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {Gross-Pitaevski equation; travelling waves},
language = {fre},
pages = {1-28},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Ondes progressives pour l’équation de Gross-Pitaevskii},
url = {http://eudml.org/doc/11171},
volume = {2007-2008},
year = {2007-2008},
}

TY - JOUR
AU - Béthuel, Fabrice
AU - Gravejat, Philippe
AU - Saut, Jean-Claude
TI - Ondes progressives pour l’équation de Gross-Pitaevskii
JO - Séminaire Équations aux dérivées partielles
PY - 2007-2008
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2007-2008
SP - 1
EP - 28
AB - 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.
LA - fre
KW - Gross-Pitaevski equation; travelling waves
UR - http://eudml.org/doc/11171
ER -

References

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