A numerical study of the self-similar solutions of the Schroedinger Map
classification
🧮 math.NA
math.AP
keywords
self-similarsolutionsnumericalsingularityallowapproximationboundaryconditions
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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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