Geometric and projective instability for the Gross-Pitaevski equation

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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.
15 pages, 0 figures

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Analysis of PDEs, 35Q55; 35B35; 81Q05

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http://salesiana.dossiersoluciones.com/handle/123456789/120286

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609807
 http://arxiv.org/abs/math/0609807

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arXiv