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

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

2008-12-04

arxiv.org/abs/0812.1011v1

Mathematics

Numerical Analysis

Scientific paper

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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