English

Geometric and projective instability for the Gross-Pitaevski equation

Analysis of PDEs 2007-05-23 v3

Abstract

Using variational methods, we construct approximate solutions for the Gross-Pitaevski equation which concentrate on circles in R3\R^3. These solutions will help to show that the L2L^2 flow is unstable for the usual topology and for the projective distance.

Keywords

Cite

@article{arxiv.math/0609807,
  title  = {Geometric and projective instability for the Gross-Pitaevski equation},
  author = {Laurent Thomann},
  journal= {arXiv preprint arXiv:math/0609807},
  year   = {2007}
}

Comments

15 pages, 0 figures

R2 v1 2026-07-22T17:43:14.439Z