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arXiv:math/0609807 [math.AP]AbstractReferencesReviewsResources

Geometric and projective instability for the Gross-Pitaevski equation

Laurent Thomann

Published 2006-09-28, updated 2006-12-19Version 3

Using variational methods, we construct approximate solutions for the Gross-Pitaevski equation which concentrate on circles in $\R^3$. These solutions will help to show that the $L^2$ flow is unstable for the usual topology and for the projective distance.

Comments: 15 pages, 0 figures
Categories: math.AP
Subjects: 35Q55, 35B35, 81Q05
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