Collisions and regularization for the 3-vortex problem

Details Collisions and regularization for the 3-vortex problem Collisions and regularization for the 3-vortex problem

2004-12-09

arxiv.org/abs/math-ph/0412024v1

Physics

Mathematical Physics

14 pages

Scientific paper

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.

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