ar X iv : m at h / 06 09 80 7 v 3 [ m at h . A P ] 1 9 D ec 2 00 6 GEOMETRIC AND PROJECTIVE INSTABILITY FOR THE GROSS - PITAEVSKI EQUATION

نویسندگان

  • Laurent Thomann
  • LAURENT THOMANN
چکیده

— Using variational methods, we construct approximate solutions for the Gross-Pitaevski equation which concentrate on circles in R. These solutions will help to show that the L flow is unstable for the usual topology and for the projective distance.

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تاریخ انتشار 2006