A Numerical Study of the Self-Similar Solutions of the Schrödinger Map
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 70 شماره
صفحات -
تاریخ انتشار 2009