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arXiv · 0812.1011

A numerical study of the self-similar solutions of the Schroedinger Map

Francisco de la Hoz·Carlos Garcia-Cervera·Luis Vega
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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.

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Francisco de la Hoz, Carlos Garcia-Cervera, Luis Vega. 2008-12-04. A numerical study of the self-similar solutions of the Schroedinger Map. https://arxiv.org/abs/0812.1011

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