Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation

Fabrice Béthuel[1]; Philippe Gravejat[2]; Didier Smets[1]

  • [1] Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France.
  • [2] Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 Palaiseau Cedex, France.

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 1, page 19-70
  • ISSN: 0373-0956

Abstract

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We establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero, and when the solitons are initially well-separated and spatially ordered according to their speeds.

How to cite

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Béthuel, Fabrice, Gravejat, Philippe, and Smets, Didier. "Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation." Annales de l’institut Fourier 64.1 (2014): 19-70. <http://eudml.org/doc/275571>.

@article{Béthuel2014,
abstract = {We establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero, and when the solitons are initially well-separated and spatially ordered according to their speeds.},
affiliation = {Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France.; Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 Palaiseau Cedex, France.; Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France.},
author = {Béthuel, Fabrice, Gravejat, Philippe, Smets, Didier},
journal = {Annales de l’institut Fourier},
keywords = {Gross-Pitaevskii equation; sums of solitons; stability},
language = {eng},
number = {1},
pages = {19-70},
publisher = {Association des Annales de l’institut Fourier},
title = {Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation},
url = {http://eudml.org/doc/275571},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Béthuel, Fabrice
AU - Gravejat, Philippe
AU - Smets, Didier
TI - Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 1
SP - 19
EP - 70
AB - We establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero, and when the solitons are initially well-separated and spatially ordered according to their speeds.
LA - eng
KW - Gross-Pitaevskii equation; sums of solitons; stability
UR - http://eudml.org/doc/275571
ER -

References

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