A numerical study of the self-similar solutions of the Schroedinger Map
Numerical Analysis
2008-12-05 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.0812.1011,
title = {A numerical study of the self-similar solutions of the Schroedinger Map},
author = {Francisco de la Hoz and Carlos Garcia-Cervera and Luis Vega},
journal= {arXiv preprint arXiv:0812.1011},
year = {2008}
}