%0 Journal Article
%T A numerical study of the self-similar solutions of the Schroedinger Map
%A Francisco de la Hoz
%A Carlos Garcia-Cervera
%A Luis Vega
%J Mathematics
%D 2008
%I arXiv
%X We present a numerical study of the self-similar solutions of the Localized Induction Approximation of a vortex filament. These self-similar solutions, which constitute a one-parameter family, develop a singularity at finite time. We study a number of boundary conditions that allow us reproduce the mechanism of singularity formation. Some related questions are also considered.
%U http://arxiv.org/abs/0812.1011v1