On the stability of a singular vortex dynamics
Analysis of PDEs
2009-11-13 v2
Abstract
In this paper we address the question of the singular vortex dynamics exhibited in [15], which generates a corner in finite time. The purpose is to prove that under some appropriate small regular perturbation the corner still remains. Our approach uses the Hasimoto transform and deals with the long range scattering properties of a Gross-Pitaevski equation with time-variable coefficients.
Keywords
Cite
@article{arxiv.0802.1996,
title = {On the stability of a singular vortex dynamics},
author = {Valeria Banica and Luis Vega},
journal= {arXiv preprint arXiv:0802.1996},
year = {2009}
}
Comments
35 pages, revised version, to appear in Comm. Math. Phys