Collisions and regularization for the 3-vortex problem
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We study the dynamics of 3 point-vortices on the plane for a fluid governed by Euler's equations, concentrating on the case when the moment of inertia is zero. We prove that the only motions that lead to total collisions are self-similar and that there are no binary collisions. Also, we give a regularization of the reduced system around collinear configurations (excluding binary collisions) which smoothes out the dynamics.
Keywords
Cite
@article{arxiv.math-ph/0412024,
title = {Collisions and regularization for the 3-vortex problem},
author = {Antonio Hernández-Garduño and Ernesto A. Lacomba},
journal= {arXiv preprint arXiv:math-ph/0412024},
year = {2007}
}
Comments
14 pages