Geometric and projective instability for the Gross-Pitaevski equation

Details Geometric and projective instability for the Gross-Pitaevski equation Geometric and projective instability for the Gross-Pitaevski equation

2006-09-28

arxiv.org/abs/math/0609807v3

Mathematics

Analysis of PDEs

15 pages, 0 figures

Scientific paper

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.

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